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<h2 class="hd hd-2 unit-title">NHST II</h2>
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<h2 class="hd hd-2 unit-title">Class 18 reading questions: significance testing II</h2>
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Problem 1
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Be sure to give your answers to at least 3 significant digits. The answer boxes also accept Matlab style arithmetic expressions. </p>
<p><b class="bf">1.</b> Suppose data values are drawn from a normal distribution with unknown mean [mathjaxinline]\mu[/mathjaxinline] and unknown standard deviation. </p>
<p>
Assume there are 100 points with a sample mean of 2 and sample variance of 36. </p>
<p>
For a one-sample [mathjaxinline]t[/mathjaxinline]-test let [mathjaxinline]H_0[/mathjaxinline]: [mathjaxinline]\mu = 1[/mathjaxinline] &#8195;and &#8195;[mathjaxinline]H_ A[/mathjaxinline]: [mathjaxinline]\mu &gt; 1[/mathjaxinline]. </p>
<p><b class="bf">(a)</b> What is the value of the [mathjaxinline]t[/mathjaxinline] statistic? <div class="wrapper-problem-response" tabindex="-1" aria-label="Question 1" role="group"><div id="inputtype_c18-rq11_2_1" class=" capa_inputtype textline">
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<p><b class="bf">(b)</b> How many degrees of freedom does the null distribution have? <div class="wrapper-problem-response" tabindex="-1" aria-label="Question 2" role="group"><div id="inputtype_c18-rq11_3_1" class=" capa_inputtype textline">
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<p><b class="bf">(c)</b> What is the [mathjaxinline]p[/mathjaxinline]-value for this test? Use R to compute your answer. <div class="wrapper-problem-response" tabindex="-1" aria-label="Question 3" role="group"><div id="inputtype_c18-rq11_4_1" class=" capa_inputtype textline">
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<p><b class="bf">(d)</b> At a significance level of [mathjaxinline]0.01[/mathjaxinline] do you reject the null hypothesis in favor of [mathjaxinline]H_ A[/mathjaxinline]? <div class="wrapper-problem-response" tabindex="-1" aria-label="Question 4" role="group"><div class="choicegroup capa_inputtype" id="inputtype_c18-rq11_5_1">
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