<div class="xblock xblock-public_view xblock-public_view-vertical" data-request-token="b5ce1a9aef0e11efb9df0e0e3c45b88f" data-usage-id="block-v1:MITx+18.05r_10+2022_Summer+type@vertical+block@class24-prep-a" data-graded="True" data-has-score="False" data-runtime-version="1" data-block-type="vertical" data-init="VerticalStudentView" data-course-id="course-v1:MITx+18.05r_10+2022_Summer" data-runtime-class="LmsRuntime">
<h2 class="hd hd-2 unit-title">Bootstrap confidence intervals</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+18.05r_10+2022_Summer+type@html+block@class24-prep-a_hashpdf">
<div class="xblock xblock-public_view xblock-public_view-html xmodule_display xmodule_HtmlBlock" data-request-token="b5ce1a9aef0e11efb9df0e0e3c45b88f" data-usage-id="block-v1:MITx+18.05r_10+2022_Summer+type@html+block@class24-prep-a_hashpdf" data-graded="True" data-has-score="False" data-runtime-version="1" data-block-type="html" data-init="XBlockToXModuleShim" data-course-id="course-v1:MITx+18.05r_10+2022_Summer" data-runtime-class="LmsRuntime">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "HTMLModule"}
</script>
<p>You can download this pdf file from <a href="/assets/courseware/v1/646892df82a2b8aadfc83e3b7e64f1fe/asset-v1:MITx+18.05r_10+2022_Summer+type@asset+block/pdf_mit18_05_s22_class24-prep-a.pdf">here</a></p><iframe src="/assets/courseware/v1/646892df82a2b8aadfc83e3b7e64f1fe/asset-v1:MITx+18.05r_10+2022_Summer+type@asset+block/pdf_mit18_05_s22_class24-prep-a.pdf" width="100%" height="1000px"> </iframe>
</div>
</div>
</div>
</div>
<div class="xblock xblock-public_view xblock-public_view-vertical" data-request-token="b5ce1a9aef0e11efb9df0e0e3c45b88f" data-usage-id="block-v1:MITx+18.05r_10+2022_Summer+type@vertical+block@class24-rq1-vertical" data-graded="True" data-has-score="False" data-runtime-version="1" data-block-type="vertical" data-init="VerticalStudentView" data-course-id="course-v1:MITx+18.05r_10+2022_Summer" data-runtime-class="LmsRuntime">
<h2 class="hd hd-2 unit-title">Class 24 reading questions: bootstrap</h2>
<div class="vert-mod">
<div class="vert vert-0" data-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@c24-rq11">
<div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-request-token="b5ce1a9aef0e11efb9df0e0e3c45b88f" data-usage-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@c24-rq11" data-graded="True" data-has-score="True" data-runtime-version="1" data-block-type="problem" data-init="XBlockToXModuleShim" data-course-id="course-v1:MITx+18.05r_10+2022_Summer" data-runtime-class="LmsRuntime">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Problem"}
</script>
<div id="problem_c24-rq11" class="problems-wrapper" role="group"
aria-labelledby="c24-rq11-problem-title"
data-problem-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@c24-rq11" data-url="/courses/course-v1:MITx+18.05r_10+2022_Summer/xblock/block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@c24-rq11/handler/xmodule_handler"
data-problem-score="0.0"
data-problem-total-possible="1.0"
data-attempts-used="0"
data-content="
<h3 class="hd hd-3 problem-header" id="c24-rq11-problem-title" aria-describedby="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@c24-rq11-problem-progress" tabindex="-1">
Problem 1
</h3>
<div class="problem-progress" id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@c24-rq11-problem-progress"></div>
<div class="problem">
<div>
<p>
Be sure to give your answers to at least 3 significan digits. The answer boxes also accept Matlab style arithmetic expressions. </p>
<p><b class="bf">1.</b> If the original data has [mathjaxinline]n[/mathjaxinline] points then a bootstrap sample should have<br/><div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><div class="choicegroup capa_inputtype" id="inputtype_c24-rq11_2_1">
<fieldset aria-describedby="status_c24-rq11_2_1">
<div class="field">
<input type="radio" name="input_c24-rq11_2_1" id="input_c24-rq11_2_1_choice_1" class="field-input input-radio" value="choice_1"/><label id="c24-rq11_2_1-choice_1-label" for="input_c24-rq11_2_1_choice_1" class="response-label field-label label-inline" aria-describedby="status_c24-rq11_2_1"> <text> Fewer points than the original because there is less information in the sample than in the underlying distribution.</text>
</label>
</div>
<div class="field">
<input type="radio" name="input_c24-rq11_2_1" id="input_c24-rq11_2_1_choice_2" class="field-input input-radio" value="choice_2"/><label id="c24-rq11_2_1-choice_2-label" for="input_c24-rq11_2_1_choice_2" class="response-label field-label label-inline" aria-describedby="status_c24-rq11_2_1"> <text> The same number of points as the original because we want the bootstrap statistic to mimic the statistic on the original data.</text>
</label>
</div>
<div class="field">
<input type="radio" name="input_c24-rq11_2_1" id="input_c24-rq11_2_1_choice_3" class="field-input input-radio" value="choice_3"/><label id="c24-rq11_2_1-choice_3-label" for="input_c24-rq11_2_1_choice_3" class="response-label field-label label-inline" aria-describedby="status_c24-rq11_2_1"> <text> Many more points than the original because we have the computing power to handle a lot of data.</text>
</label>
</div>
<span id="answer_c24-rq11_2_1"/>
</fieldset>
<div class="indicator-container">
<span class="status unanswered" id="status_c24-rq11_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
</div>
</div></div> </p>
</div>
<div class="action">
<input type="hidden" name="problem_id" value="Problem 1" />
<div class="submit-attempt-container">
<button type="button" class="submit btn-brand" data-submitting="Submitting" data-value="Submit" data-should-enable-submit-button="True" aria-describedby="submission_feedback_c24-rq11" >
<span class="submit-label">Submit</span>
</button>
<div class="submission-feedback" id="submission_feedback_c24-rq11">
<span class="sr">Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.</span>
</div>
</div>
<div class="problem-action-buttons-wrapper">
<span class="problem-action-button-wrapper">
<button type="button" class="save problem-action-btn btn-default btn-small" data-value="Save">
<span class="icon fa fa-floppy-o" aria-hidden="true"></span>
<span aria-hidden="true">Save</span>
<span class="sr">Save your answer</span>
</button>
</span>
</div>
</div>
<div class="notification warning notification-gentle-alert
is-hidden"
tabindex="-1">
<span class="icon fa fa-exclamation-circle" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="c24-rq11-problem-title">
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
<div class="notification warning notification-save
is-hidden"
tabindex="-1">
<span class="icon fa fa-save" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="c24-rq11-problem-title">None
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
<div class="notification general notification-show-answer
is-hidden"
tabindex="-1">
<span class="icon fa fa-info-circle" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="c24-rq11-problem-title">Answers are displayed within the problem
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
</div>
"
data-graded="True">
<p class="loading-spinner">
<i class="fa fa-spinner fa-pulse fa-2x fa-fw"></i>
<span class="sr">Loading…</span>
</p>
</div>
</div>
</div>
<div class="vert vert-1" data-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@c24-rq12">
<div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-request-token="b5ce1a9aef0e11efb9df0e0e3c45b88f" data-usage-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@c24-rq12" data-graded="True" data-has-score="True" data-runtime-version="1" data-block-type="problem" data-init="XBlockToXModuleShim" data-course-id="course-v1:MITx+18.05r_10+2022_Summer" data-runtime-class="LmsRuntime">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Problem"}
</script>
<div id="problem_c24-rq12" class="problems-wrapper" role="group"
aria-labelledby="c24-rq12-problem-title"
data-problem-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@c24-rq12" data-url="/courses/course-v1:MITx+18.05r_10+2022_Summer/xblock/block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@c24-rq12/handler/xmodule_handler"
data-problem-score="0.0"
data-problem-total-possible="1.0"
data-attempts-used="0"
data-content="
<h3 class="hd hd-3 problem-header" id="c24-rq12-problem-title" aria-describedby="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@c24-rq12-problem-progress" tabindex="-1">
Problem 2
</h3>
<div class="problem-progress" id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@c24-rq12-problem-progress"></div>
<div class="problem">
<div>
<p><b class="bf">2.</b> True or false: it is important to verify the assumption that the data is normal before running the parametric bootstrap.<br/><div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><div class="choicegroup capa_inputtype" id="inputtype_c24-rq12_2_1">
<fieldset aria-describedby="status_c24-rq12_2_1">
<div class="field">
<input type="radio" name="input_c24-rq12_2_1" id="input_c24-rq12_2_1_choice_1" class="field-input input-radio" value="choice_1"/><label id="c24-rq12_2_1-choice_1-label" for="input_c24-rq12_2_1_choice_1" class="response-label field-label label-inline" aria-describedby="status_c24-rq12_2_1"> <text> True</text>
</label>
</div>
<div class="field">
<input type="radio" name="input_c24-rq12_2_1" id="input_c24-rq12_2_1_choice_2" class="field-input input-radio" value="choice_2"/><label id="c24-rq12_2_1-choice_2-label" for="input_c24-rq12_2_1_choice_2" class="response-label field-label label-inline" aria-describedby="status_c24-rq12_2_1"> <text> False</text>
</label>
</div>
<span id="answer_c24-rq12_2_1"/>
</fieldset>
<div class="indicator-container">
<span class="status unanswered" id="status_c24-rq12_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
</div>
</div></div> </p>
<p>
<div class="solution-span">
<span id="solution_c24-rq12_solution_1"/>
</div></p>
</div>
<div class="action">
<input type="hidden" name="problem_id" value="Problem 2" />
<div class="submit-attempt-container">
<button type="button" class="submit btn-brand" data-submitting="Submitting" data-value="Submit" data-should-enable-submit-button="True" aria-describedby="submission_feedback_c24-rq12" >
<span class="submit-label">Submit</span>
</button>
<div class="submission-feedback" id="submission_feedback_c24-rq12">
<span class="sr">Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.</span>
</div>
</div>
<div class="problem-action-buttons-wrapper">
<span class="problem-action-button-wrapper">
<button type="button" class="save problem-action-btn btn-default btn-small" data-value="Save">
<span class="icon fa fa-floppy-o" aria-hidden="true"></span>
<span aria-hidden="true">Save</span>
<span class="sr">Save your answer</span>
</button>
</span>
</div>
</div>
<div class="notification warning notification-gentle-alert
is-hidden"
tabindex="-1">
<span class="icon fa fa-exclamation-circle" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="c24-rq12-problem-title">
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
<div class="notification warning notification-save
is-hidden"
tabindex="-1">
<span class="icon fa fa-save" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="c24-rq12-problem-title">None
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
<div class="notification general notification-show-answer
is-hidden"
tabindex="-1">
<span class="icon fa fa-info-circle" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="c24-rq12-problem-title">Answers are displayed within the problem
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
</div>
"
data-graded="True">
<p class="loading-spinner">
<i class="fa fa-spinner fa-pulse fa-2x fa-fw"></i>
<span class="sr">Loading…</span>
</p>
</div>
</div>
</div>
<div class="vert vert-2" data-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@c24-rq13">
<div class="xblock xblock-public_view xblock-public_view-problem xmodule_display xmodule_ProblemBlock" data-request-token="b5ce1a9aef0e11efb9df0e0e3c45b88f" data-usage-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@c24-rq13" data-graded="True" data-has-score="True" data-runtime-version="1" data-block-type="problem" data-init="XBlockToXModuleShim" data-course-id="course-v1:MITx+18.05r_10+2022_Summer" data-runtime-class="LmsRuntime">
<script type="json/xblock-args" class="xblock-json-init-args">
{"xmodule-type": "Problem"}
</script>
<div id="problem_c24-rq13" class="problems-wrapper" role="group"
aria-labelledby="c24-rq13-problem-title"
data-problem-id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@c24-rq13" data-url="/courses/course-v1:MITx+18.05r_10+2022_Summer/xblock/block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@c24-rq13/handler/xmodule_handler"
data-problem-score="0.0"
data-problem-total-possible="1.0"
data-attempts-used="0"
data-content="
<h3 class="hd hd-3 problem-header" id="c24-rq13-problem-title" aria-describedby="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@c24-rq13-problem-progress" tabindex="-1">
Problem 3
</h3>
<div class="problem-progress" id="block-v1:MITx+18.05r_10+2022_Summer+type@problem+block@c24-rq13-problem-progress"></div>
<div class="problem">
<div>
<p><b class="bf">3.</b> True or false: the bootstrap is only effective if we know the sampling distribution for the statistic being used as an estimator.<br/><div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><div class="choicegroup capa_inputtype" id="inputtype_c24-rq13_2_1">
<fieldset aria-describedby="status_c24-rq13_2_1">
<div class="field">
<input type="radio" name="input_c24-rq13_2_1" id="input_c24-rq13_2_1_choice_1" class="field-input input-radio" value="choice_1"/><label id="c24-rq13_2_1-choice_1-label" for="input_c24-rq13_2_1_choice_1" class="response-label field-label label-inline" aria-describedby="status_c24-rq13_2_1"> <text> True</text>
</label>
</div>
<div class="field">
<input type="radio" name="input_c24-rq13_2_1" id="input_c24-rq13_2_1_choice_2" class="field-input input-radio" value="choice_2"/><label id="c24-rq13_2_1-choice_2-label" for="input_c24-rq13_2_1_choice_2" class="response-label field-label label-inline" aria-describedby="status_c24-rq13_2_1"> <text> False</text>
</label>
</div>
<span id="answer_c24-rq13_2_1"/>
</fieldset>
<div class="indicator-container">
<span class="status unanswered" id="status_c24-rq13_2_1" data-tooltip="Not yet answered.">
<span class="sr">unanswered</span><span class="status-icon" aria-hidden="true"/>
</span>
</div>
</div></div> </p>
<p>
<div class="solution-span">
<span id="solution_c24-rq13_solution_1"/>
</div></p>
</div>
<div class="action">
<input type="hidden" name="problem_id" value="Problem 3" />
<div class="submit-attempt-container">
<button type="button" class="submit btn-brand" data-submitting="Submitting" data-value="Submit" data-should-enable-submit-button="True" aria-describedby="submission_feedback_c24-rq13" >
<span class="submit-label">Submit</span>
</button>
<div class="submission-feedback" id="submission_feedback_c24-rq13">
<span class="sr">Some problems have options such as save, reset, hints, or show answer. These options follow the Submit button.</span>
</div>
</div>
<div class="problem-action-buttons-wrapper">
<span class="problem-action-button-wrapper">
<button type="button" class="save problem-action-btn btn-default btn-small" data-value="Save">
<span class="icon fa fa-floppy-o" aria-hidden="true"></span>
<span aria-hidden="true">Save</span>
<span class="sr">Save your answer</span>
</button>
</span>
</div>
</div>
<div class="notification warning notification-gentle-alert
is-hidden"
tabindex="-1">
<span class="icon fa fa-exclamation-circle" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="c24-rq13-problem-title">
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
<div class="notification warning notification-save
is-hidden"
tabindex="-1">
<span class="icon fa fa-save" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="c24-rq13-problem-title">None
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
<div class="notification general notification-show-answer
is-hidden"
tabindex="-1">
<span class="icon fa fa-info-circle" aria-hidden="true"></span>
<span class="notification-message" aria-describedby="c24-rq13-problem-title">Answers are displayed within the problem
</span>
<div class="notification-btn-wrapper">
<button type="button" class="btn btn-default btn-small notification-btn review-btn sr">Review</button>
</div>
</div>
</div>
"
data-graded="True">
<p class="loading-spinner">
<i class="fa fa-spinner fa-pulse fa-2x fa-fw"></i>
<span class="sr">Loading…</span>
</p>
</div>
</div>
</div>
</div>
</div>