andy/Probability-and-Statistics-Notes
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Update to PreTeXt project source.

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andy
2026-02-26 08:49:48 -05:00
parent 8e8179cc79
commit 11b3e582f8
1 changed files with 82 additions and 28 deletions
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source/sec-Confidence-Intervals.ptx
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@@ -181,6 +181,12 @@
Give an approximate 95% confidence interval for the value of <m>p</m>.
</p>
</statement>
<answer>
<p>
<m>[0.504, 0.696]</m>.
</p>
</answer>
</exercise>
<exercise>
@@ -197,6 +203,12 @@
Give a 95% confidence interval for the proportion <m>p</m> of left-handed people.
</p>
</statement>
<answer>
<p>
<m>[0.056, 0.184]</m>.
</p>
</answer>
</task>
@@ -206,6 +218,12 @@
Give a 90% confidence interval.
</p>
</statement>
<answer>
<p>
<m>[0.066, 0.174]</m>.
</p>
</answer>
</task>
</exercise>
@@ -220,27 +238,45 @@
<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>
<tabular halign="center">
<row header="yes" bottom="minor">
<cell>mouse <m>i</m></cell>
<cell>weight <m>W_i</m> (g)</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>
<cell>1</cell>
<cell>26</cell>
</row>
<row>
<cell>2</cell>
<cell>32</cell>
</row>
<row>
<cell>3</cell>
<cell>33</cell>
</row>
<row>
<cell>4</cell>
<cell>20</cell>
</row>
<row>
<cell>5</cell>
<cell>29</cell>
</row>
</tabular>
</table>
</statement>
<answer>
<p>
<!-- avg weight = 28 --> <!-- sum of squares = 4030 --> <!-- s^2 = 27.5 --> <!-- \sqrt{s^2/n} \approx 2.35 --> <m>[23.39, 32.61]</m>.
</p>
</answer>
</exercise>
<exercise>
@@ -254,27 +290,45 @@
<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>
<tabular halign="center">
<row header="yes" bottom="minor">
<cell>plant <m>i</m></cell>
<cell>height <m>H_i</m> (in)</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>
<cell>1</cell>
<cell>15</cell>
</row>
<row>
<cell>2</cell>
<cell>14</cell>
</row>
<row>
<cell>3</cell>
<cell>18</cell>
</row>
<row>
<cell>4</cell>
<cell>21</cell>
</row>
<row>
<cell>5</cell>
<cell>17</cell>
</row>
</tabular>
</table>
</statement>
<answer>
<p>
<!-- avg weight = 17 --> <!-- sum of squares = 1475 --> <!-- s^2 = 7.5 --> <!-- \sqrt{s^2/n} \approx 1.22 --> <m>[14.61, 19.39]</m>.
</p>
</answer>
</exercise>
</exercises>
</section>