<?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="id8162893">
  <name>Collaborative Statistics: Solution Sheets: F Distribution and ANOVA</name>
  <metadata>
  <md:version>1.4</md:version>
  <md:created>2008/06/27 15:36:42 GMT-5</md:created>
  <md:revised>2008/10/27 11:14:32.838 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>ANOVA</md:keyword>
    <md:keyword>elementary</md:keyword>
    <md:keyword>F Distribution</md:keyword>
    <md:keyword>solution</md:keyword>
    <md:keyword>statistics</md:keyword>
  </md:keywordlist>

  <md:abstract>This module provides a solution sheet for use with the F Distribution and ANOVA chapter of the Collaborative Statistics textbook/collection.</md:abstract>
</metadata>
  <content>
    <para id="id46712476">Class Time:</para>
    <para id="id46712482">Name:</para>
    <list id="id3582263" type="named-item"><?mark .?><item><name>a</name><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:msub><m:mi>H</m:mi><m:mstyle fontsize="8pt"><m:mrow><m:mi>o</m:mi></m:mrow></m:mstyle></m:msub></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{H rSub { size 8{o} } } {}</m:annotation></m:semantics></m:math>: </item>
      <item><name>b</name><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:msub><m:mi>H</m:mi><m:mstyle fontsize="8pt"><m:mrow><m:mi>a</m:mi></m:mrow></m:mstyle></m:msub></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{H rSub { size 8{a} } } {}</m:annotation></m:semantics></m:math>: </item>
      <item><name>c</name><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mrow><m:mstyle fontstyle="italic"><m:mrow><m:mtext>df</m:mtext></m:mrow></m:mstyle><m:mfenced open="(" close=")"><m:mi>n</m:mi></m:mfenced></m:mrow></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{ ital "df" left (n right )} {}</m:annotation></m:semantics></m:math> = </item>
      <item><name>d</name><m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mrow><m:mstyle fontstyle="italic"><m:mrow><m:mtext>df</m:mtext></m:mrow></m:mstyle><m:mo stretchy="false">(</m:mo><m:mi>d</m:mi><m:mo stretchy="false">)</m:mo></m:mrow></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{ ital "df" \( d \) } {}</m:annotation></m:semantics></m:math> = </item>
      <item><name>e</name>State the distribution to use for the test. </item>
      <item><name>f</name>What is the test statistic?</item>
      <item><name>g</name>What is the 
<m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>p</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{p} {}</m:annotation></m:semantics></m:math>-value? In 1 – 2 complete sentences, explain what the <m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>p</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{p} {}</m:annotation></m:semantics></m:math>-value means for this problem. </item>
      <item><name>h</name>Use the previous information to sketch a picture of this situation. <emphasis>Clearly</emphasis> label and scale the horizontal axis and shade the region(s) corresponding to the 
<m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mi>p</m:mi></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{p} {}</m:annotation></m:semantics></m:math>-value.<figure id="element-123123"><media type="image/png" src="line1.PNG"/></figure></item>
    

      <item><name>i</name>Indicate the correct decision (“reject” or “do not reject” the null hypothesis) and write appropriate conclusions, using <emphasis>complete sentences</emphasis>. <list id="list12345" type="named-item"><?mark .?><item><name>i</name>Alpha:</item>
      <item><name>ii</name>Decision:</item>
      <item><name>iii</name>Reason for decision:</item>
      <item><name>iv</name>Conclusion:</item></list></item>
    </list>
    
    
  </content>
</document>
