andy/Probability-and-Statistics-Notes
1
0
Fork 0
Code Issues Pull Requests Actions Packages Projects Releases Wiki Activity

Split sections in Ch 4

Browse Source
This commit is contained in:
andy
2026-02-01 09:44:40 -05:00
parent 85644a4681
commit b4b9f041ac
5 changed files with 243 additions and 177 deletions
Download Patch File Download Diff File Expand all files Collapse all files
source/sec-Confidence-Intervals.ptx
+113
View File
@@ -0,0 +1,113 @@
<section xml:id="sec-Confidence-Intervals" xmlns:xi="http://www.w3.org/2001/XInclude">
<title>Confidence Intervals</title>
<p>
Text of section.
</p>
<exercises xml:id="exercises-Confidence-Intervals">
<exercise>
<statement>
<p>
Suppose we flip a coin 100 times and count 60 heads.
Let <m>p</m> be the (unknown) probability that the coin comes up heads on a flip.
Give an approximate 95% confidence interval for the value of <m>p</m>.
</p>
</statement>
</exercise>
<exercise>
<introduction>
<p>
Suppose in a sample of 100 people, 12 are left-handed.
</p>
</introduction>
<task>
<statement>
<p>
Give a 95% confidence interval for the proportion <m>p</m> of left-handed people.
</p>
</statement>
</task>
<task>
<statement>
<p>
Give a 90% confidence interval.
</p>
</statement>
</task>
</exercise>
<exercise>
<statement>
<p>
The weights of five mice are measured and recorded below.
Give a 95% confidence interval for the sample mean weight of mice.
(Pretend 5 measurements is large enough for the CLT to apply.)
</p>
<table>
<title></title>
<tabular>
<row header="yes">
<cell halign="center">mouse <m>i</m></cell>
<cell halign="center">1</cell>
<cell halign="center">2</cell>
<cell halign="center">3</cell>
<cell halign="center">4</cell>
<cell halign="center">5</cell>
</row>
<row>
<cell halign="center">weight <m>\widetilde{w}_i</m> (g)</cell>
<cell halign="center">26</cell>
<cell halign="center">32</cell>
<cell halign="center">33</cell>
<cell halign="center">20</cell>
<cell halign="center">29</cell>
</row>
</tabular>
</table>
</statement>
</exercise>
<exercise>
<statement>
<p>
The heights of five plants are measured and recorded below.
Give a 95% confidence interval around the sample mean for the heights of the plants.
(Pretend 5 measurements is large enough for the CLT to apply.)
</p>
<table>
<title></title>
<tabular>
<row header="yes">
<cell halign="center">plant <m>i</m></cell>
<cell halign="center">1</cell>
<cell halign="center">2</cell>
<cell halign="center">3</cell>
<cell halign="center">4</cell>
<cell halign="center">5</cell>
</row>
<row>
<cell halign="center">height <m>\widetilde{h}_i</m> (in)</cell>
<cell halign="center">15</cell>
<cell halign="center">14</cell>
<cell halign="center">18</cell>
<cell halign="center">21</cell>
<cell halign="center">17</cell>
</row>
</tabular>
</table>
</statement>
</exercise>
</exercises>
</section>