<questestinterop><assessment title="Stats Midterm3 #63-127"><assessmentmetadata title="Stats Midterm3 #63-127"><bbmd_asitype>Assessment</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit /><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_weighting>0</qmd_weighting><qmd_instructornotes /></assessmentmetadata><rubric view="All"><flow_mat class="Block"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></rubric><presentation_material><flow_mat class="Block"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></presentation_material><section><sectionmetadata><bbmd_asitype>Section</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit /><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_weighting>0</qmd_weighting><qmd_instructornotes /></sectionmetadata><item maxattempts="0" title="Q063 consumer advocacy group is studying the relationship between"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Essay</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt;
&lt;div&gt;A consumer advocacy group is studying the relationship between weight (in ounces) of low-flow showerheads and the monthly reduction in utility bills (in dollars). They collected the following data:&lt;/div&gt;
&lt;div&gt; &lt;/div&gt;
&lt;div&gt;
&lt;table border="1" data-choice-pk="82213054" data-fixed="None" data-identifier="a" style="border-collapse: collapse; border-color: #000000; border-style: solid;"&gt;
&lt;tbody&gt;
&lt;tr data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;&lt;strong data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;Weight (in ounces)&lt;/strong&gt;&lt;/div&gt;
&lt;/td&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;&lt;strong data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;Monthly reduction in utility bills (in dollars)&lt;/strong&gt;&lt;/div&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;11&lt;/div&gt;
&lt;/td&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;40&lt;/div&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;12&lt;/div&gt;
&lt;/td&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;42&lt;/div&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;12&lt;/div&gt;
&lt;/td&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;43&lt;/div&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;13&lt;/div&gt;
&lt;/td&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;48&lt;/div&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;14&lt;/div&gt;
&lt;/td&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;51&lt;/div&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;14&lt;/div&gt;
&lt;/td&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;54&lt;/div&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;15&lt;/div&gt;
&lt;/td&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;58&lt;/div&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;18&lt;/div&gt;
&lt;/td&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;58&lt;/div&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;18&lt;/div&gt;
&lt;/td&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;64&lt;/div&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;19&lt;/div&gt;
&lt;/td&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;70&lt;/div&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;19&lt;/div&gt;
&lt;/td&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;70&lt;/div&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;20&lt;/div&gt;
&lt;/td&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;71&lt;/div&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;20&lt;/div&gt;
&lt;/td&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;73&lt;/div&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;21&lt;/div&gt;
&lt;/td&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;74&lt;/div&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;24&lt;/div&gt;
&lt;/td&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;79&lt;/div&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;25&lt;/div&gt;
&lt;/td&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;84&lt;/div&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;26&lt;/div&gt;
&lt;/td&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;91&lt;/div&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;27&lt;/div&gt;
&lt;/td&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;92&lt;/div&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;28&lt;/div&gt;
&lt;/td&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;94&lt;/div&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;29&lt;/div&gt;
&lt;/td&gt;
&lt;td data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;
&lt;div data-choice-pk="82213054" data-fixed="None" data-identifier="a"&gt;100&lt;/div&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;/div&gt;
&lt;div&gt; &lt;/div&gt;
&lt;div&gt;The group wants to calculate the 95% confidence interval for the mean monthly reduction in utility bills (in dollars) for all low-flow showerheads with a weight (in ounces) of 24.&lt;/div&gt;
&lt;div&gt; &lt;/div&gt;
&lt;div&gt;Using appropriate statistical technology, find the 95% confidence interval for the mean response ( , )  -&lt;em data-choice-pk="81654906" data-fixed="None" data-identifier="d" style="box-sizing: border-box; color: #425466; font-family: -apple-system, 'system-ui', 'Segoe UI', Roboto, 'Helvetica Neue', Arial, 'Noto Sans', sans-serif, 'Apple Color Emoji', 'Segoe UI Emoji', 'Segoe UI Symbol', 'Noto Color Emoji'; font-size: 16px; background-color: #ffffff;"&gt;Round to one decimal place and use parentheses, commas, no spaces in your response&lt;/em&gt;&lt;/div&gt;
&lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_str ident="response" rcardinality="Single" rtiming="No"><render_fib charset="us-ascii" columns="127" encoding="UTF_8" fibtype="String" maxchars="0" maxnumber="0" minnumber="0" prompt="Box" rows="8" /></response_str></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar /><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="solution" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q064 consumer advocacy group is studying the relationship between"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;A consumer advocacy group is studying the relationship between weight (in ounces) of low-flow showerheads and the monthly reduction in utility bills (in dollars). They collected the following data:&lt;/div&gt; &lt;table style="border: 1px solid #9E9E9E;"&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;&lt;b&gt;Weight (in ounces)&lt;/b&gt;&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;&lt;b&gt;Monthly reduction in utility bills (in dollars)&lt;/b&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;11&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;40&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;12&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;42&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;12&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;43&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;13&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;48&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;14&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;51&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;14&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;54&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;15&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;58&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;18&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;58&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;18&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;64&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;19&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;70&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;19&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;70&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;20&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;71&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;20&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;73&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;21&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;74&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;24&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;79&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;25&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;84&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;26&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;91&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;27&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;92&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;28&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;94&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;29&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;100&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt; &lt;div&gt;The group wants to calculate the 95% confidence interval for the mean monthly reduction in utility bills (in dollars) for all low-flow showerheads with a weight (in ounces) of 24.&lt;/div&gt; &lt;div&gt;Which of the following is the correct interpretation of this confidence interval?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; There is a 95% probability that the mean monthly reduction in utility bills (in dollars) for a low-flow showerheads with a weight (in ounces) of 24 will be between 81.3 and 84.5. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; We are 95% confident that the mean monthly reduction in utility bills (in dollars) for all low-flow showerheads with a weight (in ounces) of 24 will be between 81.3 and 84.5. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; 95% of all low-flow showerheads with a weight (in ounces) of 24 will have a monthly reduction in utility bills (in dollars) between 81.3 and 84.5. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; We are 95% confident that any individual low-flow showerheads with a weight (in ounces) of 24 will have a monthly reduction in utility bills (in dollars) between 81.3 and 84.5. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">B</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q065 An educational researcher is studying the relationship betwe"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;An educational researcher is studying the relationship between weekly study hours and exam scores for students from diverse socioeconomic backgrounds. Based on a sample of 25 students, the regression equation to predict exam score from weekly study hours is&lt;/div&gt; &lt;div&gt;Here is the data collected:&lt;/div&gt; &lt;table style="border: 1px solid #9E9E9E;"&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;&lt;b&gt;x&lt;/b&gt;&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;&lt;b&gt;y&lt;/b&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;6&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;33&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;7&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;34&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;8&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;37&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;9&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;41&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;9&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;43&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;10&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;45&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;10&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;45&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;10&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;47&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;13&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;55&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;14&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;56&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;14&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;57&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;16&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;58&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;17&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;60&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;18&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;62&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;18&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;64&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;18&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;69&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;18&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;72&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;20&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;74&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;20&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;75&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;21&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;78&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;21&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;79&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;22&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;80&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;23&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;84&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;25&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;87&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;25&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;88&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt; &lt;div&gt;What is the 95% confidence interval for the mean response when &lt;img src="ppg/assets/Q065_EUAG1Y_file_0.svg" alt="" /&gt; ?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; ( &lt;img src="ppg/assets/Q065_EUAG1Y_file_1.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q065_EUAG1Y_file_2.svg" alt="" /&gt; ) &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; ( &lt;img src="ppg/assets/Q065_EUAG1Y_file_3.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q065_EUAG1Y_file_4.svg" alt="" /&gt; ) &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; ( &lt;img src="ppg/assets/Q065_EUAG1Y_file_5.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q065_EUAG1Y_file_6.svg" alt="" /&gt; ) &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; ( &lt;img src="ppg/assets/Q065_EUAG1Y_file_7.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q065_EUAG1Y_file_8.svg" alt="" /&gt; ) &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">C</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q066 An education researcher is studying the relationship between"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;An education researcher is studying the relationship between hours spent on weekly study and exam performance. Data was collected from 10 students with various study habits.&lt;/div&gt; &lt;div&gt;A regression analysis gives the equation: &lt;img src="ppg/assets/Q066_DRFARR_file_0.svg" alt="" /&gt; with a standard error of the estimate &lt;img src="ppg/assets/Q066_DRFARR_file_1.svg" alt="" /&gt; .&lt;/div&gt; &lt;div&gt;Which of the following represents the 95% prediction interval for a student who studies for 12 hours per week?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; (52.9, 60) &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; (54.3,58.6) &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; (54.7,58.2) &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; (53.6,59.3) &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">A</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q067 An agricultural scientist is studying the relationship betwe"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Essay</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt;
&lt;p&gt;An agricultural scientist is studying the relationship between fertilizer application rates and crop yield. Data was collected from 10 different test plots.&lt;/p&gt;
&lt;p&gt;The researcher gathered the following data on fertilizer application rate and crop yield:&lt;/p&gt;
&lt;table style="border: 1px solid #9E9E9E;"&gt;
&lt;tbody&gt;
&lt;tr&gt;
&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;
&lt;p&gt;&lt;strong&gt;Fertilizer Rate (kg/hectare)&lt;/strong&gt;&lt;/p&gt;
&lt;/td&gt;
&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;
&lt;p&gt;&lt;strong&gt;Crop Yield (tons/hectare)&lt;/strong&gt;&lt;/p&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;
&lt;p&gt;5&lt;/p&gt;
&lt;/td&gt;
&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;
&lt;p&gt;47.8&lt;/p&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;
&lt;p&gt;10&lt;/p&gt;
&lt;/td&gt;
&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;
&lt;p&gt;52.8&lt;/p&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;
&lt;p&gt;15&lt;/p&gt;
&lt;/td&gt;
&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;
&lt;p&gt;56.8&lt;/p&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;
&lt;p&gt;20&lt;/p&gt;
&lt;/td&gt;
&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;
&lt;p&gt;58.4&lt;/p&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;
&lt;p&gt;25&lt;/p&gt;
&lt;/td&gt;
&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;
&lt;p&gt;67.6&lt;/p&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;
&lt;p&gt;30&lt;/p&gt;
&lt;/td&gt;
&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;
&lt;p&gt;71.4&lt;/p&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;
&lt;p&gt;35&lt;/p&gt;
&lt;/td&gt;
&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;
&lt;p&gt;83.2&lt;/p&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;
&lt;p&gt;40&lt;/p&gt;
&lt;/td&gt;
&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;
&lt;p&gt;86.6&lt;/p&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;
&lt;p&gt;45&lt;/p&gt;
&lt;/td&gt;
&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;
&lt;p&gt;94.4&lt;/p&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;
&lt;p&gt;50&lt;/p&gt;
&lt;/td&gt;
&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;
&lt;p&gt;94.9&lt;/p&gt;
&lt;/td&gt;
&lt;/tr&gt;
&lt;/tbody&gt;
&lt;/table&gt;
&lt;p&gt;A linear regression analysis gives:&lt;/p&gt;
&lt;p&gt;&lt;img src="ppg/assets/Q067_NF4TTO_file_0.svg" alt="" /&gt; with correlation coefficient r = &lt;img src="ppg/assets/Q067_NF4TTO_file_1.svg" alt="" /&gt; and standard error of the estimate &lt;img src="ppg/assets/Q067_NF4TTO_file_2.svg" alt="" /&gt;&lt;/p&gt;
&lt;p&gt;For a field with a fertilizer application rate of 58 kg/hectare, find the 95% prediction interval for the crop yield.&lt;/p&gt;
&lt;p&gt;The prediction interval is &lt;img src="ppg/assets/Q067_NF4TTO_file_3.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q067_NF4TTO_file_4.svg" alt="" /&gt;  - &lt;em data-choice-pk="81654906" data-fixed="None" data-identifier="d" style="box-sizing: border-box; color: #425466; font-family: -apple-system, 'system-ui', 'Segoe UI', Roboto, 'Helvetica Neue', Arial, 'Noto Sans', sans-serif, 'Apple Color Emoji', 'Segoe UI Emoji', 'Segoe UI Symbol', 'Noto Color Emoji'; font-size: 16px; background-color: #ffffff;"&gt;Round to one decimal place and use parentheses, commas, no spaces in your response&lt;/em&gt;&lt;/p&gt;
&lt;p&gt; &lt;/p&gt;
&lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_str ident="response" rcardinality="Single" rtiming="No"><render_fib charset="us-ascii" columns="127" encoding="UTF_8" fibtype="String" maxchars="0" maxnumber="0" minnumber="0" prompt="Box" rows="8" /></response_str></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar /><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="solution" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q068 researcher collected data on fitness center density (centers"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;A researcher collected data on fitness center density (centers per square kilometer) and average resident BMI from 10 different locations. A linear regression model was fit to the data, resulting in the equation:&lt;/div&gt; &lt;div&gt;&lt;img src="ppg/assets/Q068_K969Q3_file_0.svg" alt="" /&gt; with correlation coefficient &lt;img src="ppg/assets/Q068_K969Q3_file_1.svg" alt="" /&gt; and standard error of estimate &lt;img src="ppg/assets/Q068_K969Q3_file_2.svg" alt="" /&gt;&lt;/div&gt; &lt;div&gt;Consider this scenario: The economist wants to predict the average BMI for a specific community that has 0.8 fitness centers per square kilometer.&lt;/div&gt; &lt;div&gt;Which type of interval would be most appropriate for this scenario?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; Confidence interval &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; Prediction interval &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">B</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q069 An environmental scientist is studying the relationship betw"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;An environmental scientist is studying the relationship between forest density (trees per hectare) and local bird species diversity.&lt;/div&gt; &lt;div&gt;The scientist collected data on forest density (trees per hectare) and bird species diversity index from various locations and performed a linear regression analysis. The regression equation is:&lt;/div&gt; &lt;div&gt;&lt;img src="ppg/assets/Q069_Z5HAD0_file_0.svg" alt="" /&gt; with correlation coefficient &lt;img src="ppg/assets/Q069_Z5HAD0_file_1.svg" alt="" /&gt;&lt;/div&gt; &lt;div&gt;Consider this question: What is the 95% prediction interval for the mean bird diversity index for all forest areas with exactly 15 trees per hectare?&lt;/div&gt; &lt;div&gt;Which of the following interval types would be most appropriate to answer this question?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; Prediction interval for an individual response &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; Prediction interval for the mean response &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; Confidence interval for the mean response &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; Confidence interval for an individual response &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">C</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q070 You fit a linear regression model to your data and examine t"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;You fit a linear regression model to your data and examine the residual plot.&lt;/div&gt; &lt;div&gt;The residual plot shows a fan shape, with residuals spreading out as x increases.&lt;/div&gt; &lt;div&gt;Which transformation would most likely improve the model fit?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; Using the reciprocal (1/y) of y &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; Adding a squared term ( &lt;img src="ppg/assets/Q070_N2TLR1_file_0.svg" alt="" /&gt; ) &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; Taking the natural logarithm of y &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; Taking the logarithm of both x and y &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">C</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q071 The data distribution is strongly right-skewed (long tail to"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;The data distribution is strongly right-skewed (long tail to the right).&lt;/div&gt; &lt;div&gt;When using this variable in regression analysis, the residual plot shows patterns suggesting a linear model isn't appropriate.&lt;/div&gt; &lt;div&gt;Which transformation would most likely make the distribution more symmetric and improve the regression model?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; Squaring the data values &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; Taking the natural logarithm of the data &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; Adding a constant to each value &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; Multiplying each value by a constant &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">B</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q072 An agricultural scientist is studying wheat crop yields. The"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;An agricultural scientist is studying wheat crop yields. They've collected data on rainfall (in inches) and average temperature (in °F) to predict crop yield (in bushels per acre). The researcher collected the following data:&lt;/div&gt; &lt;table style="border: 1px solid #9E9E9E;"&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;&lt;b&gt;Rainfall (inches)&lt;/b&gt;&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;&lt;b&gt;Average temperature (°F)&lt;/b&gt;&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;&lt;b&gt;Crop yield (bushels per acre)&lt;/b&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;10&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;70&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;60&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;15&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;75&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;90&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;8&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;65&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;40&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;20&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;80&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;110&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;12&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;72&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;70&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt; &lt;div&gt;Using statistical software, the researcher performed multiple linear regression analysis on this data. Which of the following correctly represents and interprets the multiple linear regression equation?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; The multiple linear regression equation is &lt;img src="ppg/assets/Q072_LUX38Z_file_0.svg" alt="" /&gt; , where &lt;img src="ppg/assets/Q072_LUX38Z_file_13.svg" alt="" /&gt; represents rainfall in inches, &lt;img src="ppg/assets/Q072_LUX38Z_file_14.svg" alt="" /&gt; represents average temperature in °F, and &lt;img src="ppg/assets/Q072_LUX38Z_file_15.svg" alt="" /&gt; represents the estimated crop yield in bushels per acre. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; The multiple linear regression equation is &lt;img src="ppg/assets/Q072_LUX38Z_file_4.svg" alt="" /&gt; , where &lt;img src="ppg/assets/Q072_LUX38Z_file_13.svg" alt="" /&gt; represents rainfall in inches, &lt;img src="ppg/assets/Q072_LUX38Z_file_14.svg" alt="" /&gt; represents average temperature in °F, and &lt;img src="ppg/assets/Q072_LUX38Z_file_15.svg" alt="" /&gt; represents the crop yield in bushels per acre. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; The multiple linear regression equation is &lt;img src="ppg/assets/Q072_LUX38Z_file_8.svg" alt="" /&gt; , where &lt;img src="ppg/assets/Q072_LUX38Z_file_13.svg" alt="" /&gt; represents rainfall in inches, &lt;img src="ppg/assets/Q072_LUX38Z_file_14.svg" alt="" /&gt; represents average temperature in °F, and &lt;img src="ppg/assets/Q072_LUX38Z_file_15.svg" alt="" /&gt; represents the estimated crop yield in bushels per acre. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; The multiple linear regression equation is &lt;img src="ppg/assets/Q072_LUX38Z_file_12.svg" alt="" /&gt; , where &lt;img src="ppg/assets/Q072_LUX38Z_file_13.svg" alt="" /&gt; represents rainfall in inches, &lt;img src="ppg/assets/Q072_LUX38Z_file_14.svg" alt="" /&gt; represents average temperature in °F, and &lt;img src="ppg/assets/Q072_LUX38Z_file_15.svg" alt="" /&gt; represents the estimated crop yield in bushels per acre. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">C</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q073 marine biologist is studying coral reef health. The research"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Answer</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;A marine biologist is studying coral reef health. The researcher developed a multiple linear regression model to predict the coral growth rate (in cm per year) based on water temperature (in °C) and water clarity (measured in meters of visibility).&lt;/div&gt; &lt;div&gt;The multiple linear regression equation is:&lt;/div&gt; &lt;div&gt;&lt;img src="ppg/assets/Q073_WUVA6N_file_0.svg" alt="" /&gt;&lt;/div&gt; &lt;div&gt;Where: &lt;/div&gt; &lt;div&gt; &lt;img src="ppg/assets/Q073_WUVA6N_file_1.svg" alt="" /&gt; = water temperature (in °C) &lt;/div&gt; &lt;div&gt; &lt;img src="ppg/assets/Q073_WUVA6N_file_2.svg" alt="" /&gt; = water clarity (in meters of visibility) &lt;/div&gt; &lt;div&gt;&lt;img src="ppg/assets/Q073_WUVA6N_file_3.svg" alt="" /&gt; = estimated coral growth rate (in cm per year)&lt;/div&gt; &lt;div&gt; &lt;/div&gt; &lt;div&gt;Select all statements that correctly interpret this multiple linear regression equation.&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Multiple" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="No"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; The model predicts the coral growth rate with 100% accuracy. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; The coral growth rate is 12 cm per year when water temperature is 0°C. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; For each additional meter of visibility in water clarity, the estimated coral growth.* rate increases by 0.3 cm per year, when water temperature is held constant. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; A change in water temperature always has a larger effect on coral growth than a change in water clarity. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="E" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="E"&gt;&lt;div&gt; For each additional degree Celsius in water temperature, the estimated coral growth rate decreases by 0.5 cm per year, when water clarity is held constant. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><and><not><varequal case="No" respident="response">A</varequal></not><not><varequal case="No" respident="response">B</varequal></not><varequal case="No" respident="response">C</varequal><not><varequal case="No" respident="response">D</varequal></not><varequal case="No" respident="response">E</varequal></and></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition><respcondition><conditionvar><varequal case="No" respident="E" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="E" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="E" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q074 nutritionist investigated factors affecting athletic perform"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;A nutritionist investigated factors affecting athletic performance. They developed a multiple linear regression model using protein intake in grams (x₁) and hours of training per week (x₂) to predict endurance time in minutes.&lt;/div&gt; &lt;div&gt;In their analysis, the researcher calculated the coefficient of determination (R²) for their multiple linear regression model, finding R² = &lt;img src="ppg/assets/Q074_YTNG87_file_0.svg" alt="" /&gt; .&lt;/div&gt; &lt;div&gt;The following values were also calculated: &lt;/div&gt; &lt;div&gt; Sum of squares total (SST) = &lt;img src="ppg/assets/Q074_YTNG87_file_1.svg" alt="" /&gt; &lt;/div&gt; &lt;div&gt; Sum of squares regression (SSR) = &lt;img src="ppg/assets/Q074_YTNG87_file_2.svg" alt="" /&gt; &lt;/div&gt; &lt;div&gt; Sum of squares error (SSE) = &lt;img src="ppg/assets/Q074_YTNG87_file_3.svg" alt="" /&gt; &lt;/div&gt; &lt;div&gt;Sample size (n) = &lt;img src="ppg/assets/Q074_YTNG87_file_4.svg" alt="" /&gt;&lt;/div&gt; &lt;div&gt; &lt;/div&gt; &lt;div&gt;Which of the following best interprets the coefficient of determination (R²) for this multiple linear regression model?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; If we change the explanatory variables, we can expect the endurance time to change by exactly 62%. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; The model makes accurate predictions 62% of the time. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; There is a 62% correlation between the explanatory variables and the response variable. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; The model explains approximately 62% of the variability in endurance time. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">D</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q076 data analyst has created a multiple regression model and is "><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;A data analyst has created a multiple regression model and is now examining the residual plot to assess if the model's assumptions are met.&lt;/div&gt; &lt;div&gt; &lt;img src="ppg/assets/Q076_VDH2ZL_file_0.png" alt="Graphs" /&gt; &lt;/div&gt; &lt;div&gt;Which of the following statements is accurate regarding this residual plot?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; The residual plot shows a random scatter of points with no apparent pattern. This indicates we need to add more variables to our model. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; The residual plot shows a random scatter of points with no apparent pattern. This indicates no pattern, which supports the conditions for linear regression. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; The residual plot shows a random scatter of points with no apparent pattern. This indicates the model meets the conditions for multiple linear regression. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; The residual plot shows a random scatter of points with no apparent pattern. This indicates we need to collect more data, but the model is still valid. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">C</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q077 Which of the following would provide evidence that a multipl"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;Which of the following would provide evidence that a multiple linear regression model is appropriate for the data?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; For large values of the explanatory variable, the residuals are larger than they are for small values of the explanatory variable. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; The residuals of the third explanatory variable increase as the explanatory variable increases. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; The residuals of the first explanatory variable are positive in the first half of the graph and negative in the second half of the graph. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; The residuals appear randomly scattered with no clusters or patterns. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">D</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q078 Which of the following best describes what an indicator vari"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;Which of the following best describes what an indicator variable is in multiple linear regression?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; An indicator variable takes on exactly three values to represent different categories of a qualitative variable. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; An indicator variable is a quantitative variable that indicates the strength of the relationship between the explanatory variables and the response variable. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; An indicator variable is used to represent the relationship between more than two response variables in a multiple regression model. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; An indicator variable is a binary variable that takes on values of 0 or 1 to represent whether an observation belongs to a particular category. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">D</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q079 In a multiple linear regression model, a researcher wants to"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;In a multiple linear regression model, a researcher wants to include the categorical variable "Product type" with categories: Electronics, Clothing, Home goods. How would this categorical variable be properly incorporated into the regression model?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; The categorical variable would be removed from the model since categorical variables cannot be used in multiple linear regression. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; The categorical variable would be replaced with a single numeric code from 1 to 3 representing each category. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; The categorical variable would be directly entered into the model since multiple regression can automatically handle categorical variables. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; The categorical variable would be replaced with 2 indicator variables: Electronics (1 if Electronics, 0 otherwise) and Clothing (1 if Clothing, 0 otherwise). &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">D</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q080 researcher is studying factors that affect crop yields. The "><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;A researcher is studying factors that affect crop yields. The data includes a quantitative variable (rainfall (in inches)) and a categorical variable (fertilizer type) with three categories: organic, synthetic, and none.&lt;/div&gt; &lt;div&gt;The regression analysis produced the following results:&lt;/div&gt; &lt;table style="border: 1px solid #9E9E9E;"&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;&lt;b&gt;Coefficients&lt;/b&gt;&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;&lt;b&gt;Estimates&lt;/b&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;&lt;b&gt;Intercept&lt;/b&gt;&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;&lt;img src="ppg/assets/Q080_Y1Z33E_file_0.svg" alt="" /&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;&lt;b&gt;rainfall (in inches)&lt;/b&gt;&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;&lt;img src="ppg/assets/Q080_Y1Z33E_file_1.svg" alt="" /&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;&lt;b&gt;fertilizer type = organic&lt;/b&gt;&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;&lt;img src="ppg/assets/Q080_Y1Z33E_file_2.svg" alt="" /&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;&lt;b&gt;fertilizer type = synthetic&lt;/b&gt;&lt;/div&gt;&lt;/td&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;&lt;img src="ppg/assets/Q080_Y1Z33E_file_3.svg" alt="" /&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt; &lt;div&gt;Which of the following correctly represents the multiple linear regression equation where none is used as the baseline category?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; &lt;img src="ppg/assets/Q080_Y1Z33E_file_4.svg" alt="" /&gt; &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; &lt;img src="ppg/assets/Q080_Y1Z33E_file_5.svg" alt="" /&gt; &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; &lt;img src="ppg/assets/Q080_Y1Z33E_file_6.svg" alt="" /&gt; &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; &lt;img src="ppg/assets/Q080_Y1Z33E_file_7.svg" alt="" /&gt; &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">B</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q081 business analyst has created a multiple linear regression mo"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;A business analyst has created a multiple linear regression model to predict wait times. The model includes the number of customers in line and service type as predictors. The variable service type has two categories: express and regular.&lt;/div&gt; &lt;div&gt;The regression equation is:&lt;/div&gt; &lt;div&gt;&lt;img src="ppg/assets/Q081_RVBG48_file_0.svg" alt="" /&gt;&lt;/div&gt; &lt;div&gt;Where &lt;img src="ppg/assets/Q081_RVBG48_file_1.svg" alt="" /&gt; equals 1 when the service type is express and 0 when the service type is regular.&lt;/div&gt; &lt;div&gt;Which of the following is the correct interpretation of the coefficient &lt;img src="ppg/assets/Q081_RVBG48_file_2.svg" alt="" /&gt; in this multiple linear regression equation?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; The express service type category has predicted customer wait time that is 1 unit lower than the regular service type category, when the number of customers in line is zero. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; The model predicts that the express service type will always have lower customer wait time than the regular service type, regardless of the number of customers in line. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; The effect of the number of customers in line on customer wait time is different for express service type than for regular service type. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; For both express and regular service type categories, each additional unit of number of customers in line is associated with a change of 2.8 units in customer wait time. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">D</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q082 The scatterplot below shows fuel economy (in miles per gallo"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;The scatterplot below shows fuel economy (in miles per gallon) for hybrid and conventional vehicles at different highway speeds, with fitted regression lines for each group.&lt;/div&gt; &lt;div&gt; &lt;img src="ppg/assets/Q082_IUB9KT_file_0.png" alt="A line graph titled “Hybrid vs. Conventional.” The x-axis shows speed in miles per hour, increasing from 45 to 90. The y-axis shows fuel economy in miles per gallon, ranging approximately from 20 to 80. Two lines are shown: one for hybrid vehicles (b" /&gt; &lt;/div&gt; &lt;div&gt;Based on the scatterplot, which statement correctly describes the interaction between the variables in predicting the outcome?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; The parallel lines indicate no interaction between vehicle type and highway speed. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; There is no interaction effect; both vehicle types lose fuel economy at the same rate as speed increases. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; The interaction term is significant, indicating that highway speed affects fuel economy differently in hybrid versus conventional vehicles. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; The interaction term shows that hybrid vehicles always have better fuel economy than conventional vehicles. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">C</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" 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class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q084 researcher wants to study the relationship between exercise "><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;A researcher wants to study the relationship between exercise duration and weight loss while accounting for potential differences between urban residents and rural residents. The researcher uses a binary indicator variable where urban residents are coded as 1 and rural residents are coded as 0.&lt;/div&gt; &lt;div&gt;If the researcher believes that the relationship between the two main variables differs based on the group, which multiple regression model with an interaction term should be used?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; &lt;img src="ppg/assets/Q084_BJ8UVL_file_0.svg" alt="" /&gt; &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; &lt;img src="ppg/assets/Q084_BJ8UVL_file_1.svg" alt="" /&gt; &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; &lt;img src="ppg/assets/Q084_BJ8UVL_file_2.svg" alt="" /&gt; &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; &lt;img src="ppg/assets/Q084_BJ8UVL_file_3.svg" alt="" /&gt; &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">B</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q086 researcher is studying the average number of hours per week "><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;A researcher is studying the average number of hours per week students spend studying for their courses. They collect a random sample of &lt;img src="ppg/assets/Q086_TSMQKJ_file_4.svg" alt="" /&gt; students and find that the sample mean study time is &lt;img src="ppg/assets/Q086_TSMQKJ_file_1.svg" alt="" /&gt; hours with a sample standard deviation of &lt;img src="ppg/assets/Q086_TSMQKJ_file_2.svg" alt="" /&gt; hours.&lt;/div&gt; &lt;div&gt;The researcher wants to create a bootstrap distribution for the sample mean. Which of the following correctly describes the process for creating a bootstrap distribution for the sample mean?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; Remove one observation at a time from the sample, calculate the mean without that observation, and repeat for all observations. The distribution of these means is the bootstrap distribution. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; Add a random value to each original data point, calculate the mean of the modified data, and repeat this process &lt;img src="ppg/assets/Q086_TSMQKJ_file_5.svg" alt="" /&gt; times to create the bootstrap distribution. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; Divide the original sample into smaller groups and calculate the mean of each group. The resulting distribution of group means is the bootstrap distribution. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; Take a random sample of size &lt;img src="ppg/assets/Q086_TSMQKJ_file_4.svg" alt="" /&gt; from the original data, with replacement, and calculate the mean. Repeat this process &lt;img src="ppg/assets/Q086_TSMQKJ_file_5.svg" alt="" /&gt; times to create the bootstrap distribution. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">D</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q087 researcher collected data on glucose levels from a random sa"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;A researcher collected data on glucose levels from a random sample of &lt;img src="ppg/assets/Q087_EGMPPC_file_0.svg" alt="" /&gt; individuals. The collected data (in mg/dL) is:&lt;/div&gt; &lt;div&gt;&lt;img src="ppg/assets/Q087_EGMPPC_file_1.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q087_EGMPPC_file_2.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q087_EGMPPC_file_3.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q087_EGMPPC_file_4.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q087_EGMPPC_file_5.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q087_EGMPPC_file_6.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q087_EGMPPC_file_7.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q087_EGMPPC_file_8.svg" alt="" /&gt;&lt;/div&gt; &lt;div&gt;The researcher wants to use bootstrapping to estimate the sampling distribution of the mean. Using a statistical tool, they create 1,000 bootstrap samples from this original data. For each bootstrap sample, they calculate the sample mean, resulting in a bootstrap distribution of means.&lt;/div&gt; &lt;div&gt;Every bootstrap distribution will vary slightly, but which of the following is the most reasonable estimate for the mean and standard deviation for a distribution the researcher creates?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; Mean = &lt;img src="ppg/assets/Q087_EGMPPC_file_9.svg" alt="" /&gt; mg/dL, Standard Deviation = &lt;img src="ppg/assets/Q087_EGMPPC_file_10.svg" alt="" /&gt; mg/dL &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; Mean = &lt;img src="ppg/assets/Q087_EGMPPC_file_11.svg" alt="" /&gt; mg/dL, Standard Deviation = &lt;img src="ppg/assets/Q087_EGMPPC_file_12.svg" alt="" /&gt; mg/dL &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; Mean = &lt;img src="ppg/assets/Q087_EGMPPC_file_13.svg" alt="" /&gt; mg/dL, Standard Deviation = &lt;img src="ppg/assets/Q087_EGMPPC_file_14.svg" alt="" /&gt; mg/dL &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; Mean = &lt;img src="ppg/assets/Q087_EGMPPC_file_15.svg" alt="" /&gt; mg/dL, Standard Deviation = &lt;img src="ppg/assets/Q087_EGMPPC_file_16.svg" alt="" /&gt; mg/dL &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">C</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q088 researcher is studying the average annual healthcare expendi"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;A researcher is studying the average annual healthcare expenditure for households in a region. They collect a random sample of &lt;img src="ppg/assets/Q088_ZHA6C9_file_0.svg" alt="" /&gt; households and find that the sample mean expenditure is &lt;img src="ppg/assets/Q088_ZHA6C9_file_1.svg" alt="" /&gt; dollars with a sample standard deviation of &lt;img src="ppg/assets/Q088_ZHA6C9_file_2.svg" alt="" /&gt; dollars.&lt;/div&gt; &lt;div&gt;The researcher creates 1,000 bootstrap samples from the original data and calculates the mean for each bootstrap sample, creating a bootstrap distribution of sample means.&lt;/div&gt; &lt;div&gt;To construct a &lt;img src="ppg/assets/Q088_ZHA6C9_file_3.svg" alt="" /&gt; % bootstrap percentile confidence interval for the population mean annual healthcare expenditure, what values should the researcher use as the lower and upper bounds of the interval?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; The average of all bootstrap sample means, plus or minus &lt;img src="ppg/assets/Q088_ZHA6C9_file_4.svg" alt="" /&gt; . &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; The &lt;img src="ppg/assets/Q088_ZHA6C9_file_9.svg" alt="" /&gt; th and &lt;img src="ppg/assets/Q088_ZHA6C9_file_10.svg" alt="" /&gt; th percentiles of the bootstrap distribution of sample means. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; The &lt;img src="ppg/assets/Q088_ZHA6C9_file_9.svg" alt="" /&gt; th and &lt;img src="ppg/assets/Q088_ZHA6C9_file_10.svg" alt="" /&gt; th percentiles of the original sample data. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; The &lt;img src="ppg/assets/Q088_ZHA6C9_file_9.svg" alt="" /&gt; th and &lt;img src="ppg/assets/Q088_ZHA6C9_file_10.svg" alt="" /&gt; th percentiles of the population distribution. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">B</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q089 researcher is studying the average weekly grocery spending f"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;A researcher is studying the average weekly grocery spending for households. They collected a random sample of &lt;img src="ppg/assets/Q089_GPSBWF_file_0.svg" alt="" /&gt; observations with the following values (in dollars):&lt;/div&gt; &lt;div&gt;&lt;img src="ppg/assets/Q089_GPSBWF_file_1.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q089_GPSBWF_file_2.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q089_GPSBWF_file_3.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q089_GPSBWF_file_4.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q089_GPSBWF_file_5.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q089_GPSBWF_file_6.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q089_GPSBWF_file_7.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q089_GPSBWF_file_8.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q089_GPSBWF_file_9.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q089_GPSBWF_file_10.svg" alt="" /&gt;&lt;/div&gt; &lt;div&gt;The sample mean is &lt;img src="ppg/assets/Q089_GPSBWF_file_11.svg" alt="" /&gt; dollars with a sample standard deviation of &lt;img src="ppg/assets/Q089_GPSBWF_file_12.svg" alt="" /&gt; dollars.&lt;/div&gt; &lt;div&gt;Using a statistical tool, the researcher creates 1,000 bootstrap samples from this original data and calculates the mean for each bootstrap sample. After ordering these 1,000 bootstrap means from lowest to highest, they will use the 2.5th and 97.5th percentiles as the bounds for a 95% bootstrap confidence interval.&lt;/div&gt; &lt;div&gt;Which of the following is the most reasonable estimate for the margin of error of this 95% bootstrap confidence interval?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; &lt;img src="ppg/assets/Q089_GPSBWF_file_13.svg" alt="" /&gt; dollars &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; &lt;img src="ppg/assets/Q089_GPSBWF_file_14.svg" alt="" /&gt; dollars &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; &lt;img src="ppg/assets/Q089_GPSBWF_file_15.svg" alt="" /&gt; dollars &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; &lt;img src="ppg/assets/Q089_GPSBWF_file_16.svg" alt="" /&gt; dollars &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">B</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q090 researcher is studying the daily distance run (in kilometers"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;A researcher is studying the daily distance run (in kilometers) among running club members in a city. From a random sample of 15 participants, they collected the following data:&lt;/div&gt; &lt;table style="border: 1px solid #9E9E9E;"&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;&lt;b&gt;Sample&lt;/b&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;7.5&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;8.4&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;7.1&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;8.9&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;6.4&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;6.7&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;7.4&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;7.3&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;7.5&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;7.3&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;8.2&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;7.5&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;6&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;8&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td style="padding: 5px; border: 1px solid #9E9E9E;"&gt;&lt;div&gt;8.9&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt; &lt;div&gt;The researcher wants to construct a &lt;img src="ppg/assets/Q090_RPVAQU_file_0.svg" alt="" /&gt; bootstrap confidence interval for the population median.&lt;/div&gt; &lt;div&gt;Which of the following intervals would most likely be obtained using proper bootstrap resampling with 1000 samples?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; ( &lt;img src="ppg/assets/Q090_RPVAQU_file_1.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q090_RPVAQU_file_2.svg" alt="" /&gt; ) &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; ( &lt;img src="ppg/assets/Q090_RPVAQU_file_3.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q090_RPVAQU_file_4.svg" alt="" /&gt; ) &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; ( &lt;img src="ppg/assets/Q090_RPVAQU_file_5.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q090_RPVAQU_file_6.svg" alt="" /&gt; ) &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; ( &lt;img src="ppg/assets/Q090_RPVAQU_file_7.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q090_RPVAQU_file_8.svg" alt="" /&gt; ) &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">C</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q091 researcher at a community garden is comparing the mean veget"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;A researcher at a community garden is comparing the mean vegetable yield and mean fruit yield (in kg/m²) from different plots. They collected data from 34 plots growing vegetables and 32 plots growing fruits.&lt;/div&gt; &lt;div&gt;Using bootstrap resampling with 2000 samples, they calculated a &lt;img src="ppg/assets/Q091_HT31G1_file_0.svg" alt="" /&gt; % confidence interval for the difference in population means (vegetable yield - fruit yield) to be ( &lt;img src="ppg/assets/Q091_HT31G1_file_1.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q091_HT31G1_file_3.svg" alt="" /&gt; ).&lt;/div&gt; &lt;div&gt;Which conclusion is best supported by this confidence interval?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; The data provides evidence that there is a significant difference between the mean vegetable yield and the mean fruit yield in the community garden. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; The population mean vegetable yield is exactly &lt;img src="ppg/assets/Q091_HT31G1_file_3.svg" alt="" /&gt; kg/m² higher than the population mean fruit yield in the community garden. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; The data does not provide evidence that there is a significant difference between the mean vegetable yield and the mean fruit yield in the community garden. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; We cannot determine if there is a significant difference between the mean vegetable yield and the mean fruit yield based on this confidence interval. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">A</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q092 An environmental researcher is studying weekly household wat"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;An environmental researcher is studying weekly household water consumption (in liters) among urban households in Kuala Lumpur. From a random sample of 34 households, they calculated a &lt;img src="ppg/assets/Q092_IJNY7E_file_10.svg" alt="" /&gt; % bootstrap confidence interval for the population mean to be ( &lt;img src="ppg/assets/Q092_IJNY7E_file_6.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q092_IJNY7E_file_7.svg" alt="" /&gt; ) liters.&lt;/div&gt; &lt;div&gt;Which statement correctly describes what a bootstrap confidence interval means?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; We can be &lt;img src="ppg/assets/Q092_IJNY7E_file_10.svg" alt="" /&gt; % confident that the mean of the sample is between &lt;img src="ppg/assets/Q092_IJNY7E_file_6.svg" alt="" /&gt; and &lt;img src="ppg/assets/Q092_IJNY7E_file_7.svg" alt="" /&gt;. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; The probability that the population mean is between &lt;img src="ppg/assets/Q092_IJNY7E_file_6.svg" alt="" /&gt; and &lt;img src="ppg/assets/Q092_IJNY7E_file_7.svg" alt="" /&gt; is &lt;img src="ppg/assets/Q092_IJNY7E_file_10.svg" alt="" /&gt; %. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; If we take many random samples and construct &lt;img src="ppg/assets/Q092_IJNY7E_file_10.svg" alt="" /&gt; % confidence intervals, approximately &lt;img src="ppg/assets/Q092_IJNY7E_file_10.svg" alt="" /&gt; % of those intervals will contain the true population value. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; If we take repeated bootstrap samples from our original sample and construct &lt;img src="ppg/assets/Q092_IJNY7E_file_10.svg" alt="" /&gt; % confidence intervals, approximately &lt;img src="ppg/assets/Q092_IJNY7E_file_10.svg" alt="" /&gt; % of those intervals will contain the true population value. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">A</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q093 digital wellness researcher studied the daily time spent on "><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;A digital wellness researcher studied the daily time spent on social media (in minutes) among teenagers in Santiago. From a random sample of 57 participants, they calculated a &lt;img src="ppg/assets/Q093_ZX15M4_file_4.svg" alt="" /&gt; % bootstrap confidence interval for the population median to be ( &lt;img src="ppg/assets/Q093_ZX15M4_file_1.svg" alt="" /&gt; , &lt;img src="ppg/assets/Q093_ZX15M4_file_2.svg" alt="" /&gt; ) minutes.&lt;/div&gt; &lt;div&gt;The researcher wants to determine if the data supports a claim that the population median is &lt;img src="ppg/assets/Q093_ZX15M4_file_8.svg" alt="" /&gt; minutes per day.&lt;/div&gt; &lt;div&gt;Which of the following conclusions is best supported by the confidence interval?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; We can be &lt;img src="ppg/assets/Q093_ZX15M4_file_4.svg" alt="" /&gt; % certain that the population median is exactly &lt;img src="ppg/assets/Q093_ZX15M4_file_8.svg" alt="" /&gt; minutes. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; The data does not provide sufficient evidence to reject the claim that the population median is &lt;img src="ppg/assets/Q093_ZX15M4_file_8.svg" alt="" /&gt; minutes. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; The data provides strong evidence to reject the claim that the population median is &lt;img src="ppg/assets/Q093_ZX15M4_file_8.svg" alt="" /&gt; minutes. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; The data supports the claim that the population median is exactly &lt;img src="ppg/assets/Q093_ZX15M4_file_8.svg" alt="" /&gt; minutes. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">A</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="A" 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class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q094 financial researcher is studying the proportion of first-tim"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;A financial researcher is studying the proportion of first-time homebuyers who use online mortgage applications. The researcher believes that this proportion has increased from the industry standard of &lt;img src="ppg/assets/Q094_FBDGK9_file_0.svg" alt="" /&gt; .&lt;/div&gt; &lt;div&gt;In a random sample of 63 first-time homebuyers, &lt;img src="ppg/assets/Q094_FBDGK9_file_1.svg" alt="" /&gt; reported using online mortgage applications, giving a sample proportion of &lt;img src="ppg/assets/Q094_FBDGK9_file_2.svg" alt="" /&gt; .&lt;/div&gt; &lt;div&gt;Which of the following correctly states the appropriate hypotheses for a simulation-based test?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; &lt;img src="ppg/assets/Q094_FBDGK9_file_3.svg" alt="" /&gt; &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; &lt;img src="ppg/assets/Q094_FBDGK9_file_4.svg" alt="" /&gt; &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; &lt;img src="ppg/assets/Q094_FBDGK9_file_5.svg" alt="" /&gt; &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; &lt;img src="ppg/assets/Q094_FBDGK9_file_6.svg" alt="" /&gt; &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">D</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q095 financial researcher is studying the proportion of first-tim"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;A financial researcher is studying the proportion of first-time homebuyers who use online mortgage applications. The researcher believes that this proportion has increased from the industry standard of &lt;img src="ppg/assets/Q095_WHXLRO_file_6.svg" alt="" /&gt; .&lt;/div&gt; &lt;div&gt;In a random sample of 63 first-time homebuyers, &lt;img src="ppg/assets/Q095_WHXLRO_file_1.svg" alt="" /&gt; reported using online mortgage applications, giving a sample proportion of &lt;img src="ppg/assets/Q095_WHXLRO_file_5.svg" alt="" /&gt; .&lt;/div&gt; &lt;div&gt;Which of the following correctly describes the appropriate simulation process for conducting this hypothesis test?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; Generate samples of size 63 by flipping a weighted coin with probability &lt;img src="ppg/assets/Q095_WHXLRO_file_5.svg" alt="" /&gt; of landing heads, and count how many samples have a proportion ≥ &lt;img src="ppg/assets/Q095_WHXLRO_file_5.svg" alt="" /&gt; . &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; Generate samples of size 63 by flipping a weighted coin with probability &lt;img src="ppg/assets/Q095_WHXLRO_file_6.svg" alt="" /&gt; of landing heads, and count how many samples have a proportion ≥ &lt;img src="ppg/assets/Q095_WHXLRO_file_5.svg" alt="" /&gt; . &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; Generate samples of size 63 by flipping a fair coin, and calculate the proportion of heads in each sample. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; Generate samples by drawing from a normal distribution with mean &lt;img src="ppg/assets/Q095_WHXLRO_file_6.svg" alt="" /&gt; and standard deviation &lt;img src="ppg/assets/Q095_WHXLRO_file_7.svg" alt="" /&gt; . &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">B</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q096 financial researcher is studying the proportion of first-tim"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;A financial researcher is studying the proportion of first-time homebuyers who use online mortgage applications. The researcher believes that this proportion has increased from the industry standard of &lt;img src="ppg/assets/Q096_AUIZ84_file_9.svg" alt="" /&gt; .&lt;/div&gt; &lt;div&gt;In a random sample of 63 first-time homebuyers, &lt;img src="ppg/assets/Q096_AUIZ84_file_1.svg" alt="" /&gt; reported using online mortgage applications, giving a sample proportion of &lt;img src="ppg/assets/Q096_AUIZ84_file_8.svg" alt="" /&gt; .&lt;/div&gt; &lt;div&gt;The researcher performed a simulation-based test with &lt;img src="ppg/assets/Q096_AUIZ84_file_3.svg" alt="" /&gt; simulations and found that in &lt;img src="ppg/assets/Q096_AUIZ84_file_4.svg" alt="" /&gt; simulations, the sample proportion was &lt;img src="ppg/assets/Q096_AUIZ84_file_8.svg" alt="" /&gt; or higher, resulting in a p-value of &lt;img src="ppg/assets/Q096_AUIZ84_file_7.svg" alt="" /&gt; .&lt;/div&gt; &lt;div&gt;Based on these results, what conclusion should the researcher draw at α = 0.05?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; Fail to reject the null hypothesis because the p-value = &lt;img src="ppg/assets/Q096_AUIZ84_file_7.svg" alt="" /&gt; &amp;gt; 0.05. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; Reject the null hypothesis because the p-value = &lt;img src="ppg/assets/Q096_AUIZ84_file_7.svg" alt="" /&gt; &amp;lt; 0.05. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; Fail to reject the null hypothesis because the simulation was not conducted correctly. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; Reject the null hypothesis because the sample proportion &lt;img src="ppg/assets/Q096_AUIZ84_file_8.svg" alt="" /&gt; is greater than &lt;img src="ppg/assets/Q096_AUIZ84_file_9.svg" alt="" /&gt; . &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">B</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q097 In a certain city, the proportion of voters who support expa"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;In a certain city, the proportion of voters who support expanding public transportation is estimated to be &lt;img src="ppg/assets/Q097_INQMFW_file_0.svg" alt="" /&gt; . A researcher creates two different sampling distributions of the sample proportion: one using samples of size n = &lt;img src="ppg/assets/Q097_INQMFW_file_6.svg" alt="" /&gt; and another using samples of size n = &lt;img src="ppg/assets/Q097_INQMFW_file_8.svg" alt="" /&gt; .&lt;/div&gt; &lt;div&gt;Which of the following statements about these sampling distributions is correct?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; The sampling distribution for n = &lt;img src="ppg/assets/Q097_INQMFW_file_6.svg" alt="" /&gt; will have a smaller standard deviation than for n = &lt;img src="ppg/assets/Q097_INQMFW_file_8.svg" alt="" /&gt; . &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; The sampling distribution for n = &lt;img src="ppg/assets/Q097_INQMFW_file_8.svg" alt="" /&gt; will not be approximately normal because n·p is too large. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; The standard deviation of the sampling distribution for n = &lt;img src="ppg/assets/Q097_INQMFW_file_6.svg" alt="" /&gt; is approximately &lt;img src="ppg/assets/Q097_INQMFW_file_7.svg" alt="" /&gt; times larger than for n = &lt;img src="ppg/assets/Q097_INQMFW_file_8.svg" alt="" /&gt; . &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; The sampling distributions for both sample sizes will have the same shape but different means. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">C</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q098 An environmental researcher wants to compare the effectivene"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;An environmental researcher wants to compare the effectiveness of two educational approaches among high school students. In the group receiving the social media intervention (n = 90), &lt;img src="ppg/assets/Q098_J7R04L_file_0.svg" alt="" /&gt; students engaged in water conservation behaviors. In the group receiving the traditional awareness campaign (n = 95), &lt;img src="ppg/assets/Q098_J7R04L_file_1.svg" alt="" /&gt; students engaged in water conservation behaviors.&lt;/div&gt; &lt;div&gt;The observed difference in proportions (social media intervention - traditional awareness campaign) was &lt;img src="ppg/assets/Q098_J7R04L_file_2.svg" alt="" /&gt; .&lt;/div&gt; &lt;div&gt;Which of the following correctly states the appropriate hypotheses for a randomization test to determine if there is a difference in the effectiveness of the two approaches?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; &lt;img src="ppg/assets/Q098_J7R04L_file_3.svg" alt="" /&gt; &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; &lt;img src="ppg/assets/Q098_J7R04L_file_4.svg" alt="" /&gt; &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; &lt;img src="ppg/assets/Q098_J7R04L_file_5.svg" alt="" /&gt; &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; &lt;img src="ppg/assets/Q098_J7R04L_file_6.svg" alt="" /&gt; &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">B</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q099 An environmental researcher wants to compare the effectivene"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;An environmental researcher wants to compare the effectiveness of two educational approaches among high school students. In the group receiving the social media intervention (n = 90), &lt;img src="ppg/assets/Q099_S7RLEW_file_0.svg" alt="" /&gt; students engaged in water conservation behaviors. In the group receiving the traditional awareness campaign (n = 95), &lt;img src="ppg/assets/Q099_S7RLEW_file_1.svg" alt="" /&gt; students engaged in water conservation behaviors.&lt;/div&gt; &lt;div&gt;The observed difference in proportions (social media intervention - traditional awareness campaign) was &lt;img src="ppg/assets/Q099_S7RLEW_file_2.svg" alt="" /&gt; .&lt;/div&gt; &lt;div&gt;Which of the following correctly describes the appropriate randomization process for conducting this hypothesis test?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; Randomly assign &lt;img src="ppg/assets/Q099_S7RLEW_file_10.svg" alt="" /&gt; outcomes to group 1 and &lt;img src="ppg/assets/Q099_S7RLEW_file_11.svg" alt="" /&gt; outcomes to group 2, then calculate the difference in sample proportions. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; Combine all &lt;img src="ppg/assets/Q099_S7RLEW_file_5.svg" alt="" /&gt; subjects, randomly reassign &lt;img src="ppg/assets/Q099_S7RLEW_file_10.svg" alt="" /&gt; to group 1 and &lt;img src="ppg/assets/Q099_S7RLEW_file_11.svg" alt="" /&gt; to group 2, then calculate the difference in proportions. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; Simulate two separate binomial distributions with probabilities &lt;img src="ppg/assets/Q099_S7RLEW_file_8.svg" alt="" /&gt; and &lt;img src="ppg/assets/Q099_S7RLEW_file_9.svg" alt="" /&gt; and sample sizes &lt;img src="ppg/assets/Q099_S7RLEW_file_10.svg" alt="" /&gt; and &lt;img src="ppg/assets/Q099_S7RLEW_file_11.svg" alt="" /&gt; , then calculate the difference in proportions. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; Generate bootstrap samples separately from each group with replacement, then calculate the difference in sample proportions. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">B</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q100 An environmental researcher wants to compare the effectivene"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;An environmental researcher wants to compare the effectiveness of two educational approaches among high school students. In the group receiving the social media intervention (n = 90), &lt;img src="ppg/assets/Q100_MHV377_file_0.svg" alt="" /&gt; students engaged in water conservation behaviors. In the group receiving the traditional awareness campaign (n = 95), &lt;img src="ppg/assets/Q100_MHV377_file_1.svg" alt="" /&gt; students engaged in water conservation behaviors.&lt;/div&gt; &lt;div&gt;The observed difference in proportions (social media intervention - traditional awareness campaign) was &lt;img src="ppg/assets/Q100_MHV377_file_6.svg" alt="" /&gt; .&lt;/div&gt; &lt;div&gt;The researcher performed the randomization test with &lt;img src="ppg/assets/Q100_MHV377_file_3.svg" alt="" /&gt; randomizations and found that the p-value was &lt;img src="ppg/assets/Q100_MHV377_file_4.svg" alt="" /&gt; .&lt;/div&gt; &lt;div&gt;Based on these results, what conclusion should the researcher draw from this randomization test at &lt;img src="ppg/assets/Q100_MHV377_file_5.svg" alt="" /&gt;?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; The randomization test is inconclusive because the observed difference ( &lt;img src="ppg/assets/Q100_MHV377_file_6.svg" alt="" /&gt; ) is too small to detect a meaningful effect. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; The randomization test cannot be used because the sample sizes are unequal ( &lt;img src="ppg/assets/Q100_MHV377_file_7.svg" alt="" /&gt; vs &lt;img src="ppg/assets/Q100_MHV377_file_8.svg" alt="" /&gt; ). &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; The randomization test provides strong evidence that the difference in proportions is not statistically significant (p-value = &lt;img src="ppg/assets/Q100_MHV377_file_9.svg" alt="" /&gt; ). &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; The randomization test provides strong evidence that the difference in proportions is statistically significant (p-value = &lt;img src="ppg/assets/Q100_MHV377_file_10.svg" alt="" /&gt; ). &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">D</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q101 diversity trainer wants to compare the effectiveness of two "><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;A diversity trainer wants to compare the effectiveness of two training methods. Among employees who received cultural awareness training (n = 59), &lt;img src="ppg/assets/Q101_T7JZQU_file_0.svg" alt="" /&gt; showed increased cross-cultural communication scores. Among employees who received standard training (n = 66), &lt;img src="ppg/assets/Q101_T7JZQU_file_1.svg" alt="" /&gt; showed increased cross-cultural communication scores.&lt;/div&gt; &lt;div&gt;The observed difference in proportions (cultural awareness training - standard training) was &lt;img src="ppg/assets/Q101_T7JZQU_file_2.svg" alt="" /&gt; .&lt;/div&gt; &lt;div&gt;The trainer wants to conduct a randomization test with these hypotheses:&lt;/div&gt; &lt;div&gt;&lt;img src="ppg/assets/Q101_T7JZQU_file_3.svg" alt="" /&gt; &lt;/div&gt; &lt;div&gt;&lt;img src="ppg/assets/Q101_T7JZQU_file_4.svg" alt="" /&gt;&lt;/div&gt; &lt;div&gt;Which of the following correctly describes the appropriate randomization process for conducting this hypothesis test?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; Generate bootstrap samples separately from each group with replacement, then calculate the difference in sample proportions. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; Combine all &lt;img src="ppg/assets/Q101_T7JZQU_file_5.svg" alt="" /&gt; subjects, randomly reassign &lt;img src="ppg/assets/Q101_T7JZQU_file_12.svg" alt="" /&gt; to group 1 and &lt;img src="ppg/assets/Q101_T7JZQU_file_13.svg" alt="" /&gt; to group 2, then calculate the difference in proportions. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; Simulate two separate binomial distributions with probabilities &lt;img src="ppg/assets/Q101_T7JZQU_file_8.svg" alt="" /&gt; and &lt;img src="ppg/assets/Q101_T7JZQU_file_9.svg" alt="" /&gt; and sample sizes &lt;img src="ppg/assets/Q101_T7JZQU_file_12.svg" alt="" /&gt; and &lt;img src="ppg/assets/Q101_T7JZQU_file_13.svg" alt="" /&gt; , then calculate the difference in proportions. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; Randomly assign &lt;img src="ppg/assets/Q101_T7JZQU_file_12.svg" alt="" /&gt; outcomes to group 1 and &lt;img src="ppg/assets/Q101_T7JZQU_file_13.svg" alt="" /&gt; outcomes to group 2, then calculate the difference in sample proportions. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">B</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q102 study was conducted among 71 families in Mumbai to understan"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt;
&lt;div&gt;A study was conducted among &lt;img src="ppg/assets/Q102_V50ZYZ_file_0.svg" alt="" /&gt; families in Mumbai to understand their choice of transportation. Researchers found that &lt;img src="ppg/assets/Q102_V50ZYZ_file_1.svg" alt="" /&gt; families use public transit, &lt;img src="ppg/assets/Q102_V50ZYZ_file_2.svg" alt="" /&gt; families use personal vehicles, and &lt;img src="ppg/assets/Q102_V50ZYZ_file_3.svg" alt="" /&gt; families use both public transit and personal vehicles.&lt;/div&gt;
&lt;div&gt;Which of the following formulas correctly represents the probability that a randomly selected family uses public transit (A) OR personal vehicles (B)?&lt;/div&gt;
&lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt;&lt;span style="font-family: -apple-system, BlinkMacSystemFont, 'Segoe UI', Roboto, Oxygen, Ubuntu, Cantarell, 'Open Sans', 'Helvetica Neue', sans-serif;"&gt;P(A OR B) = P(A) &lt;/span&gt;+ P(B)&lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; P(A OR B) = P(A AND B) &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; P(A OR B) = P(A) + P(B) + P(A AND B) &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; P(A OR B) = P(A) + P(B) - P(A AND B) &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">D</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q103 data scientist is explaining to a team how mathematical conc"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;A data scientist is explaining to a team how mathematical concepts are applied in their work analyzing customer behavior. The topic of set theory comes up in relation to probability calculations.&lt;/div&gt; &lt;div&gt;Which of the following best describes how set theory is used in probability?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; Set theory allows us to count all possible outcomes without using probability formulas. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; Set theory provides a framework to define and combine events using operations like union, intersection, and complement, which are essential for calculating probabilities. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; Set theory helps determine whether outcomes are independent or dependent. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; Set theory is only useful for visualizing data using Venn diagrams and is not used in probability calculations. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">B</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q105 survey of 200 international college students in Vancouver fo"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt;
&lt;div&gt;A survey of 200 international college students in Vancouver found information about the languages they speak fluently:&lt;/div&gt;
&lt;div&gt;• 90 students speak Spanish&lt;/div&gt;
&lt;div&gt;• 70 students speak Mandarin&lt;/div&gt;
&lt;div&gt;• 60 students speak Hindi&lt;/div&gt;
&lt;div&gt;• 40 students speak both Spanish and Mandarin&lt;/div&gt;
&lt;div&gt;• 30 students speak both Spanish and Hindi&lt;/div&gt;
&lt;div&gt;• 25 students speak both Mandarin and Hindi&lt;/div&gt;
&lt;div&gt;• 15 students speak all three languages&lt;/div&gt;
&lt;div&gt;The Venn diagram below shows the number of students in each region:&lt;/div&gt;
&lt;div&gt;&lt;img src="ppg/assets/Q105_SKG7J6_file_0.png" style="max-width: 100%; max-height: 100%;" /&gt;&lt;/div&gt;
&lt;div&gt;How many students represent Those who speak Spanish or Hindi, but not Mandarin?&lt;/div&gt;
&lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; 35 &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; 15 &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; 15 &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; 25 &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="E" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="E"&gt;&lt;div&gt; 90 &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="F" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="F"&gt;&lt;div&gt; 140 &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">E</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition><respcondition><conditionvar><varequal case="No" respident="E" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="E" /></respcondition><respcondition><conditionvar><varequal case="No" respident="F" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="F" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="E" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="F" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q109 study at a university in Mexico City collected data about st"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;A study at a university in Mexico City collected data about student gender and choice of major. Of the students surveyed, &lt;img src="ppg/assets/Q109_R9BIXX_file_0.svg" alt="" /&gt; % identified as male and &lt;img src="ppg/assets/Q109_R9BIXX_file_0.svg" alt="" /&gt; % identified as female. Among male students, &lt;img src="ppg/assets/Q109_R9BIXX_file_1.svg" alt="" /&gt; % chose STEM majors, while among female students, &lt;img src="ppg/assets/Q109_R9BIXX_file_2.svg" alt="" /&gt; % chose STEM majors.&lt;/div&gt; &lt;div&gt;The tree diagram below shows the probabilities for each branch:&lt;/div&gt; &lt;div&gt; &lt;img src="ppg/assets/Q109_R9BIXX_file_3.png" alt="A probability tree diagram showing that there is a 50 percent chance a student is male and a 50 percent chance not male. If male, there is a 70 percent chance of choosing a STEM field and a 30 percent chance of not choosing STEM. If not male, there is a " /&gt; &lt;/div&gt; &lt;div&gt;According to the tree diagram, what is the probability that a randomly selected student is female AND chose a STEM major?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; 27.5% &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; 22.5% &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; 15% &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; 35% &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">B</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="B" 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view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q111 In a clinical trial comparing two medications for treating h"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;In a clinical trial comparing two medications for treating hypertension, researchers are tracking the effectiveness and side effects of each treatment. In the trial, &lt;img src="ppg/assets/Q111_SXYPU6_file_0.svg" alt="" /&gt; of patients receiving Medicine A experience a reduction in blood pressure. For patients receiving Medicine B, &lt;img src="ppg/assets/Q111_SXYPU6_file_1.svg" alt="" /&gt; experience a reduction in blood pressure.&lt;/div&gt; &lt;div&gt;Each medication has a chance of causing mild dizziness as a side effect. For patients taking Medicine A, the probability of experiencing dizziness is &lt;img src="ppg/assets/Q111_SXYPU6_file_2.svg" alt="" /&gt; . For patients taking Medicine B, the probability is &lt;img src="ppg/assets/Q111_SXYPU6_file_3.svg" alt="" /&gt; .&lt;/div&gt; &lt;div&gt;If a patient is prescribed Medicine A, what is the probability that they will both experience reduced blood pressure AND have the dizziness side effect?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; 7.9% &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; 11% &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; 18% &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; 10.6% &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">D</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q115 restaurant in Cusco serves two types of dishes with traditio"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;A restaurant in Cusco serves two types of dishes with traditional Peruvian peppers. Dish A contains red peppers with probability &lt;img src="ppg/assets/Q115_Q2C2GH_file_0.svg" alt="" /&gt; , while Dish B contains red peppers with probability &lt;img src="ppg/assets/Q115_Q2C2GH_file_1.svg" alt="" /&gt; . On a given day, the chef prepares Dish A with probability &lt;img src="ppg/assets/Q115_Q2C2GH_file_2.svg" alt="" /&gt; and Dish B with probability &lt;img src="ppg/assets/Q115_Q2C2GH_file_3.svg" alt="" /&gt; .&lt;/div&gt; &lt;div&gt;If a customer receives a dish with red peppers, what is the probability that they received Dish A? Use Bayes' theorem to solve this problem.&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; 0.62 &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; 0.4276 &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; 0.48 &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; 0.696 &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">D</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q118 survey is conducted to determine the number of different lan"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;A survey is conducted to determine the number of different languages spoken by students at a community college. Let the discrete random variable X represent the number of languages a randomly selected student speaks.&lt;/div&gt; &lt;div&gt;Which of the following is a valid probability distribution for X?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; Option A: &lt;div&gt; &lt;img src="ppg/assets/Q118_HMABMQ_file_0.svg" alt="" /&gt; &lt;/div&gt; &lt;div&gt; &lt;img src="ppg/assets/Q118_HMABMQ_file_5.svg" alt="" /&gt; &lt;/div&gt; &lt;div&gt; &lt;img src="ppg/assets/Q118_HMABMQ_file_2.svg" alt="" /&gt; &lt;/div&gt; &lt;div&gt;&lt;img src="ppg/assets/Q118_HMABMQ_file_3.svg" alt="" /&gt;&lt;/div&gt; &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; Option B: &lt;div&gt; &lt;img src="ppg/assets/Q118_HMABMQ_file_4.svg" alt="" /&gt; &lt;/div&gt; &lt;div&gt; &lt;img src="ppg/assets/Q118_HMABMQ_file_5.svg" alt="" /&gt; &lt;/div&gt; &lt;div&gt; &lt;img src="ppg/assets/Q118_HMABMQ_file_6.svg" alt="" /&gt; &lt;/div&gt; &lt;div&gt;&lt;img src="ppg/assets/Q118_HMABMQ_file_15.svg" alt="" /&gt;&lt;/div&gt; &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; Option C: &lt;div&gt; &lt;img src="ppg/assets/Q118_HMABMQ_file_8.svg" alt="" /&gt; &lt;/div&gt; &lt;div&gt; &lt;img src="ppg/assets/Q118_HMABMQ_file_9.svg" alt="" /&gt; &lt;/div&gt; &lt;div&gt; &lt;img src="ppg/assets/Q118_HMABMQ_file_10.svg" alt="" /&gt; &lt;/div&gt; &lt;div&gt;&lt;img src="ppg/assets/Q118_HMABMQ_file_11.svg" alt="" /&gt;&lt;/div&gt; &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; Option D: &lt;div&gt; &lt;img src="ppg/assets/Q118_HMABMQ_file_12.svg" alt="" /&gt; &lt;/div&gt; &lt;div&gt; &lt;img src="ppg/assets/Q118_HMABMQ_file_13.svg" alt="" /&gt; &lt;/div&gt; &lt;div&gt; &lt;img src="ppg/assets/Q118_HMABMQ_file_14.svg" alt="" /&gt; &lt;/div&gt; &lt;div&gt;&lt;img src="ppg/assets/Q118_HMABMQ_file_15.svg" alt="" /&gt;&lt;/div&gt; &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">D</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q119 An urban planner is creating a probability model for the num"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;An urban planner is creating a probability model for the number of occupants in apartments in a new housing development. The random variable X represents the number of occupants in a randomly selected apartment.&lt;/div&gt; &lt;div&gt;Which of the following correctly describes the conditions that must be satisfied for this to be a valid discrete probability distribution?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; The sum of all probabilities must equal 1, and each probability must be a number between 0 and 1 inclusive. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; The sum of all probabilities must equal 1, and each probability must be a number greater than 0. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; One of the probabilities must equal 1, and all other probabilities must be values between 0 and 1 inclusive. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; The sum of all probabilities must be at most 1, and each probability must be a number between 0 and 1 inclusive. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">A</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q122 Which of the following scenarios describes a random variable"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Answer</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;Which of the following scenarios describes a random variable X that has a binomial distribution?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Multiple" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="No"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; A fair coin is flipped 10 times and the random variable X represents the number of heads observed. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; A study tracks 15 patients receiving a new medication and the random variable X represents how many experience headaches as a side effect. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; Cards are drawn one at a time from a standard 52-card deck without replacement, and X represents the number of hearts drawn in the first 10 cards. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; A quality inspector examines manufactured items until finding 5 defective ones, and the random variable X represents the total number of items examined. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="E" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="E"&gt;&lt;div&gt; A manufacturer produces 1000 items per day, and 50 are randomly selected for quality inspection. X represents the number of defective items found. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><and><varequal case="No" respident="response">A</varequal><varequal case="No" respident="response">B</varequal><not><varequal case="No" respident="response">C</varequal></not><not><varequal case="No" respident="response">D</varequal></not><varequal case="No" respident="response">E</varequal></and></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition><respcondition><conditionvar><varequal case="No" respident="E" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="E" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="E" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q123 Consider the following situation: A literacy program claims "><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;Consider the following situation:&lt;/div&gt; &lt;div&gt;A literacy program claims that 65% of students show improved reading scores after completion. The probability model describes the number of students with improved scores in a randomly selected group of 25 students.&lt;/div&gt; &lt;div&gt;Which statement is correct?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; This probability model does not meet the conditions for a binomial distribution because the trials have more than one outcome. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; This probability model might be binomial, but there is not enough information to determine if all conditions are met. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; This probability model meets the conditions for a binomial distribution. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; This probability model does not meet the conditions for a binomial distribution because multiple conditions are violated. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">C</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q125 study of cultural practices finds that about 51% of families"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;A study of cultural practices finds that about &lt;img src="ppg/assets/Q125_KM9VEV_file_0.svg" alt="" /&gt; of families in a multicultural community celebrate both religious and secular holidays. If &lt;img src="ppg/assets/Q125_KM9VEV_file_1.svg" alt="" /&gt; families are randomly surveyed, what is the probability that more than half celebrate both types of holidays?&lt;/div&gt; &lt;div&gt;Using the normal approximation to the binomial distribution, which of the following correctly calculates this probability?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; The distribution of the number of families who celebrate both types of holidays has μ = &lt;img src="ppg/assets/Q125_KM9VEV_file_20.svg" alt="" /&gt; and σ = &lt;img src="ppg/assets/Q125_KM9VEV_file_21.svg" alt="" /&gt; . To find the probability of more than half, I calculate P(X &amp;gt; &lt;img src="ppg/assets/Q125_KM9VEV_file_16.svg" alt="" /&gt; ) = P(X ≥ &lt;img src="ppg/assets/Q125_KM9VEV_file_22.svg" alt="" /&gt; ) = P(Z ≤ &lt;img src="ppg/assets/Q125_KM9VEV_file_18.svg" alt="" /&gt; ) = &lt;img src="ppg/assets/Q125_KM9VEV_file_7.svg" alt="" /&gt; . &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; The distribution of the number of families who celebrate both types of holidays has μ = &lt;img src="ppg/assets/Q125_KM9VEV_file_8.svg" alt="" /&gt; and σ = &lt;img src="ppg/assets/Q125_KM9VEV_file_9.svg" alt="" /&gt; . To find the probability of more than half, I calculate P(X &amp;gt; &lt;img src="ppg/assets/Q125_KM9VEV_file_10.svg" alt="" /&gt; ) = P(X ≥ &lt;img src="ppg/assets/Q125_KM9VEV_file_22.svg" alt="" /&gt; ) = P(Z ≥ &lt;img src="ppg/assets/Q125_KM9VEV_file_12.svg" alt="" /&gt; ) = &lt;img src="ppg/assets/Q125_KM9VEV_file_13.svg" alt="" /&gt; . &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; The distribution of the number of families who celebrate both types of holidays has μ = &lt;img src="ppg/assets/Q125_KM9VEV_file_20.svg" alt="" /&gt; and σ = &lt;img src="ppg/assets/Q125_KM9VEV_file_21.svg" alt="" /&gt; . To find the probability of more than half, I calculate P(X &amp;gt; &lt;img src="ppg/assets/Q125_KM9VEV_file_16.svg" alt="" /&gt; ) = P(X ≥ &lt;img src="ppg/assets/Q125_KM9VEV_file_22.svg" alt="" /&gt; ) = P(Z ≥ &lt;img src="ppg/assets/Q125_KM9VEV_file_18.svg" alt="" /&gt; ) = &lt;img src="ppg/assets/Q125_KM9VEV_file_19.svg" alt="" /&gt; . &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; The distribution of the number of families who celebrate both types of holidays has μ = &lt;img src="ppg/assets/Q125_KM9VEV_file_20.svg" alt="" /&gt; and σ = &lt;img src="ppg/assets/Q125_KM9VEV_file_21.svg" alt="" /&gt; . To find the probability of more than half, I calculate P(X &amp;gt; &lt;img src="ppg/assets/Q125_KM9VEV_file_22.svg" alt="" /&gt; ) = P(Z &amp;gt; &lt;img src="ppg/assets/Q125_KM9VEV_file_23.svg" alt="" /&gt; ) = &lt;img src="ppg/assets/Q125_KM9VEV_file_24.svg" alt="" /&gt; . &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">C</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q126 Consider the following scenario: A quality control manager i"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;Consider the following scenario:&lt;/div&gt; &lt;div&gt;A quality control manager inspects 50 randomly selected products, where historically 8% have minor defects.&lt;/div&gt; &lt;div&gt;Can a normal distribution be used to approximate the binomial distribution in this scenario?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; No, because the sample size n = &lt;img src="ppg/assets/Q126_UXXP5E_file_0.svg" alt="" /&gt; is too small for a normal approximation. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; Yes, because normal approximation always works well for binomial probabilities. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; No, because the value of np = &lt;img src="ppg/assets/Q126_UXXP5E_file_2.svg" alt="" /&gt; is less than 10. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; Yes, because both np = &lt;img src="ppg/assets/Q126_UXXP5E_file_2.svg" alt="" /&gt; and n(1-p) = &lt;img src="ppg/assets/Q126_UXXP5E_file_3.svg" alt="" /&gt; are greater than or equal to 10. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">C</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item><item maxattempts="0" title="Q127 In a voting district, about 21% of registered voters are und"><itemmetadata><bbmd_asitype>Item</bbmd_asitype><bbmd_assessmenttype>Pool</bbmd_assessmenttype><bbmd_sectiontype>Subsection</bbmd_sectiontype><bbmd_questiontype>Multiple Choice</bbmd_questiontype><bbmd_is_from_cartridge>false</bbmd_is_from_cartridge><bbmd_is_disabled>false</bbmd_is_disabled><bbmd_negative_points_ind>N</bbmd_negative_points_ind><bbmd_canvas_fullcrdt_ind>false</bbmd_canvas_fullcrdt_ind><bbmd_all_fullcredit_ind>false</bbmd_all_fullcredit_ind><bbmd_numbertype>none</bbmd_numbertype><bbmd_partialcredit>false</bbmd_partialcredit><bbmd_orientationtype>vertical</bbmd_orientationtype><bbmd_is_extracredit>false</bbmd_is_extracredit><qmd_absolutescore_max>1.0</qmd_absolutescore_max><qmd_weighting>0</qmd_weighting></itemmetadata><presentation><flow class="Block"><flow class="QUESTION_BLOCK"><flow class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;prompt&gt;&lt;div&gt; &lt;div&gt;In a voting district, about &lt;img src="ppg/assets/Q127_EC1QOR_file_0.svg" alt="" /&gt; of registered voters are under 30 years old. A political analyst will survey &lt;img src="ppg/assets/Q127_EC1QOR_file_4.svg" alt="" /&gt; randomly selected registered voters.&lt;/div&gt; &lt;div&gt;Which of the following statements correctly describes how to use the normal approximation to the binomial distribution in this scenario?&lt;/div&gt; &lt;/div&gt;&lt;/prompt&gt;</mat_formattedtext></mat_extension></material></flow></flow><flow class="RESPONSE_BLOCK"><response_lid ident="response" rcardinality="Single" rtiming="No"><render_choice maxnumber="0" minnumber="0" shuffle="Yes"><flow_label class="Block"><response_label ident="A" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="A"&gt;&lt;div&gt; The expected number of voters under 30 is &lt;img src="ppg/assets/Q127_EC1QOR_file_11.svg" alt="" /&gt; with a standard deviation of &lt;img src="ppg/assets/Q127_EC1QOR_file_12.svg" alt="" /&gt; . Since &lt;img src="ppg/assets/Q127_EC1QOR_file_4.svg" alt="" /&gt; is large and &lt;img src="ppg/assets/Q127_EC1QOR_file_5.svg" alt="" /&gt; is close to &lt;img src="ppg/assets/Q127_EC1QOR_file_6.svg" alt="" /&gt; , I can use the normal approximation with continuity correction. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="B" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="B"&gt;&lt;div&gt; The expected number of voters under 30 is &lt;img src="ppg/assets/Q127_EC1QOR_file_16.svg" alt="" /&gt; with a standard deviation of &lt;img src="ppg/assets/Q127_EC1QOR_file_8.svg" alt="" /&gt; . Since both &lt;img src="ppg/assets/Q127_EC1QOR_file_18.svg" alt="" /&gt; and &lt;img src="ppg/assets/Q127_EC1QOR_file_19.svg" alt="" /&gt; are greater than 5, I can use the normal approximation. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="C" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="C"&gt;&lt;div&gt; The expected number of voters under 30 is &lt;img src="ppg/assets/Q127_EC1QOR_file_11.svg" alt="" /&gt; with a standard deviation of &lt;img src="ppg/assets/Q127_EC1QOR_file_12.svg" alt="" /&gt; . To calculate the probability of observing at least &lt;img src="ppg/assets/Q127_EC1QOR_file_13.svg" alt="" /&gt; voters under 30, I would find the area to the right of z = &lt;img src="ppg/assets/Q127_EC1QOR_file_14.svg" alt="" /&gt; under the standard normal curve, which gives a probability of approximately &lt;img src="ppg/assets/Q127_EC1QOR_file_15.svg" alt="" /&gt; . &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label><flow_label class="Block"><response_label ident="D" rarea="Ellipse" rrange="Exact" shuffle="Yes"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML">&lt;simpleChoice identifier="D"&gt;&lt;div&gt; The expected number of voters under 30 is &lt;img src="ppg/assets/Q127_EC1QOR_file_16.svg" alt="" /&gt; with a standard deviation of &lt;img src="ppg/assets/Q127_EC1QOR_file_17.svg" alt="" /&gt; . Since both &lt;img src="ppg/assets/Q127_EC1QOR_file_18.svg" alt="" /&gt; and &lt;img src="ppg/assets/Q127_EC1QOR_file_19.svg" alt="" /&gt; are greater than 10, I can use the normal approximation with continuity correction. &lt;/div&gt;&lt;/simpleChoice&gt;</mat_formattedtext></mat_extension></material></flow_mat></response_label></flow_label></render_choice></response_lid></flow></flow></presentation><resprocessing scoremodel="SumOfScores"><outcomes><decvar defaultval="0" maxvalue="1.0" minvalue="0" varname="SCORE" vartype="Decimal" /></outcomes><respcondition title="correct"><conditionvar><varequal case="No" respident="response">D</varequal></conditionvar><setvar action="Set" variablename="SCORE">SCORE.max</setvar><displayfeedback feedbacktype="Response" linkrefid="correct" /></respcondition><respcondition title="incorrect"><conditionvar><other /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="incorrect" /></respcondition><respcondition><conditionvar><varequal case="No" respident="A" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="A" /></respcondition><respcondition><conditionvar><varequal case="No" respident="B" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="B" /></respcondition><respcondition><conditionvar><varequal case="No" respident="C" /></conditionvar><setvar action="Set" variablename="SCORE">0</setvar><displayfeedback feedbacktype="Response" linkrefid="C" /></respcondition><respcondition><conditionvar><varequal case="No" respident="D" /></conditionvar><setvar action="Set" variablename="SCORE">100</setvar><displayfeedback feedbacktype="Response" linkrefid="D" /></respcondition></resprocessing><itemfeedback ident="correct" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="incorrect" view="All"><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></itemfeedback><itemfeedback ident="A" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="B" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="C" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback><itemfeedback ident="D" view="All"><solution feedbackstyle="Complete" view="All"><solutionmaterial><flow_mat class="Block"><flow_mat class="FORMATTED_TEXT_BLOCK"><material><mat_extension><mat_formattedtext type="HTML" /></mat_extension></material></flow_mat></flow_mat></solutionmaterial></solution></itemfeedback></item></section></assessment></questestinterop>