<?xml version="1.0" encoding="utf-8"?>
<!DOCTYPE document PUBLIC "-//CNX//DTD CNXML 0.5 plus MathML//EN" "http://cnx.rice.edu/cnxml/0.5/DTD/cnxml_mathml.dtd">
<document xmlns="http://cnx.rice.edu/cnxml" xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:bib="http://bibtexml.sf.net/" id="id10897021">
  <name>F Distribution and ANOVA: ANOVA Lab</name>
  <metadata>
  <md:version>1.6</md:version>
  <md:created>2008/06/20 10:20:12 GMT-5</md:created>
  <md:revised>2008/10/27 14:41:17.855 GMT-5</md:revised>
  <md:authorlist>
      <md:author id="sdean">
      <md:firstname>Susan</md:firstname>
      
      <md:surname>Dean</md:surname>
      <md:email>deansusan@deanza.edu</md:email>
    </md:author>
      <md:author id="billowsky">
      <md:firstname>Barbara</md:firstname>
      
      <md:surname>Illowsky</md:surname>
      <md:email>illowskybarbara@deanza.edu</md:email>
    </md:author>
  </md:authorlist>

  <md:maintainerlist>
    <md:maintainer id="sdean">
      <md:firstname>Susan</md:firstname>
      
      <md:surname>Dean</md:surname>
      <md:email>deansusan@deanza.edu</md:email>
    </md:maintainer>
    <md:maintainer id="billowsky">
      <md:firstname>Barbara</md:firstname>
      
      <md:surname>Illowsky</md:surname>
      <md:email>illowskybarbara@deanza.edu</md:email>
    </md:maintainer>
    <md:maintainer id="cnxorg">
      <md:firstname/>
      
      <md:surname>Connexions</md:surname>
      <md:email>cnx@cnx.org</md:email>
    </md:maintainer>
  </md:maintainerlist>
  
  <md:keywordlist>
    <md:keyword>elementary</md:keyword>
    <md:keyword>statistics</md:keyword>
  </md:keywordlist>

  <md:abstract>This module provides a lab of F Distribution and ANOVA as a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean.</md:abstract>
</metadata>
  <content>
    <para id="id11393456">Class Time: </para>
    <para id="id11393462">Names:</para>
    <section id="id-60786505456">
      <name>Student Learning Outcome: </name>
      <list type="bulleted" id="id11393471">
        <item>The student will conduct a simple ANOVA test involving three variables.</item>
      </list>
    </section>
    <section id="element-214"><name>Collect the Data</name>
<para id="element-259">
Record the price per pound of 8 fruits, 8 vegetables, and 8 breads in your local
supermarket.
</para>
<list id="list-97632874" type="enumerated">
<item>Record the price per pound of 8 fruits, 8 vegetables, and 8 breads in your local
supermarket.
<table id="table38247y9">
<?table-summary The blank table has fruits in the first column, vegetables in the second column, and bread in the third column. 24 empty cells?>
<tgroup cols="3">
<thead>
<row>
<entry>Fruits</entry>
<entry>Vegetables</entry>
<entry>Breads</entry>
</row>
</thead>
<tbody>
<row>
<entry/>
<entry/>
<entry/>
</row>
<row>
<entry/>
<entry/>
<entry/>
</row>
<row>
<entry/>
<entry/>
<entry/>
</row>
<row>
<entry/>
<entry/>
<entry/>
</row>
<row>
<entry/>
<entry/>
<entry/>
</row>
<row>
<entry/>
<entry/>
<entry/>
</row>
<row>
<entry/>
<entry/>
<entry/>
</row>
<row>
<entry/>
<entry/>
<entry/>
</row>
</tbody>
</tgroup>
</table>
</item>
<item>Explain how you could try to collect the data randomly.</item>
</list>
</section><section id="element-976"><name>Analyze the Data</name>
<list id="list-3249345685" type="enumerated"><item> Compute the following:
<list id="list-234235" type="named-item"><?mark .?>
<item><name>a</name>Fruit:
<list id="list-2343456235" type="named-item"><?mark .?>
<item><name>i</name><m:math>
<m:apply>
  <m:conjugate/>
  <m:ci>x</m:ci>
</m:apply>
</m:math>
=</item>
<item><name>ii</name><m:math><m:msub><m:mi>s</m:mi>
<m:mi>x</m:mi></m:msub>
</m:math>=</item>
<item><name>iii</name><m:math>
<m:mi>n</m:mi></m:math> =</item>
</list></item>

<item><name>a</name>Vegetables:
<list id="list-2344634235" type="named-item"><?mark .?>
<item><name>i</name><m:math>
<m:apply>
  <m:conjugate/>
  <m:ci>x</m:ci>
</m:apply>
</m:math>
=</item>
<item><name>ii</name><m:math><m:msub><m:mi>s</m:mi>
<m:mi>x</m:mi></m:msub>
</m:math> =</item>
<item><name>iii</name><m:math>
<m:mi>n</m:mi></m:math>=</item>
</list></item>

<item><name>a</name>Bread:
<list id="list-2343346235" type="named-item"><?mark .?>
<item><name>i</name><m:math>
<m:apply>
  <m:conjugate/>
  <m:ci>x</m:ci>
</m:apply>
</m:math>
=</item>
<item><name>ii</name><m:math><m:msub><m:mi>s</m:mi>
<m:mi>x</m:mi></m:msub>
</m:math>=</item>
<item><name>iii</name><m:math>
<m:mi>n</m:mi></m:math> =</item>
</list></item>
</list></item>
<item>Find the following:
<list id="list-976234" type="named-item"><?mark .?>
<item><name>a</name><m:math><m:mi>df(num)</m:mi></m:math> =</item>
<item><name>b</name><m:math><m:mi>df(denom)</m:mi></m:math> =</item>
</list></item>
<item>State the approximate distribution for the test.</item>
<item>Test statistic: <m:math><m:mi>F</m:mi></m:math> =</item> 
<item>Sketch a graph of this situation. CLEARLY, label and scale the horizontal axis and shade
the region(s) corresponding to the p-value.</item>

<item> p-value =</item>
<item>Test at <m:math><m:mi>α</m:mi><m:mo>=</m:mo><m:mn>0.05</m:mn></m:math>. State your decision and conclusion.</item>
<item><list id="list-235263" type="named-item"><?mark .?>
<item><name>a</name>
Decision:
Why did you make this decision?</item>
<item><name>b</name>
 Conclusion (write a complete sentence).</item>
<item><name>c</name>Based on the results of your study, is there a need to further investigate any of the
food groups’ prices? Why or why not?</item>
</list></item></list></section>
  </content>
</document>
