deploy: 49619f3

_sources/confidenceintervals.md

@@ -90,4 +90,30 @@ Once the SE is found, a confidence interval is constructed like in the case of p
 
 ## Exercises
 
-TK
+```{exercise-start}
+:label: CIicecream
+```
+In a survey of 96 randomly selected Americans, $\hat{p} = 0.60$ said they think ice cream should be banned. Find the 95% confidence interval for the proportion. 
+```{exercise-end}
+```
+
+```{exercise-start}
+:label: CInarrow
+```
+You are interested in the 95% confidence interval of a sample mean. Which of the following makes this interval more narrow?
+
+1. More observations.
+2. Fewer observations.
+3. Higher value of the average.
+4. Lower value of the average. 
+5. Both 1 and 4
+```{exercise-end}
+```
+
+```{exercise-start}
+:label: CImc
+```
+Consider a multiple choice exam with choices A, B, C, D, and E for each question. Assume that the probability that a particular question has the answer $C$ is $p = 0.2$ and that all letter answers are determined independently. Find a 90% confidence interval for the proportion of questions that will have a correct answer of C on a 1600-question exam. 
+```{exercise-end}
+```
+

confidenceintervals.html

@@ -515,7 +515,34 @@ <h2>The Accuracy of Averages<a class="headerlink" href="#the-accuracy-of-average
 </section>
 <section id="exercises">
 <h2>Exercises<a class="headerlink" href="#exercises" title="Permalink to this heading">#</a></h2>
-<p>TK</p>
+<div class="exercise admonition" id="CIicecream">
+
+<p class="admonition-title"><span class="caption-number">Exercise 40 </span></p>
+<section id="exercise-content">
+<p>In a survey of 96 randomly selected Americans, <span class="math notranslate nohighlight">\(\hat{p} = 0.60\)</span> said they think ice cream should be banned. Find the 95% confidence interval for the proportion.</p>
+</section>
+</div>
+<div class="exercise admonition" id="CInarrow">
+
+<p class="admonition-title"><span class="caption-number">Exercise 41 </span></p>
+<section id="exercise-content">
+<p>You are interested in the 95% confidence interval of a sample mean. Which of the following makes this interval more narrow?</p>
+<ol class="arabic simple">
+<li><p>More observations.</p></li>
+<li><p>Fewer observations.</p></li>
+<li><p>Higher value of the average.</p></li>
+<li><p>Lower value of the average.</p></li>
+<li><p>Both 1 and 4</p></li>
+</ol>
+</section>
+</div>
+<div class="exercise admonition" id="CImc">
+
+<p class="admonition-title"><span class="caption-number">Exercise 42 </span></p>
+<section id="exercise-content">
+<p>Consider a multiple choice exam with choices A, B, C, D, and E for each question. Assume that the probability that a particular question has the answer <span class="math notranslate nohighlight">\(C\)</span> is <span class="math notranslate nohighlight">\(p = 0.2\)</span> and that all letter answers are determined independently. Find a 90% confidence interval for the proportion of questions that will have a correct answer of C on a 1600-question exam.</p>
+</section>
+</div>
 </section>
 </section>