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  <name>Collaborative Statistics: Solution Sheets: Hypothesis Testing: Two Means, Paired Data, Two Proportions</name>
  <metadata>
  <md:version>1.4</md:version>
  <md:created>2008/06/27 15:05:29 GMT-5</md:created>
  <md:revised>2008/08/21 14:29:41.972 GMT-5</md:revised>
  <md:authorlist>
      <md:author id="billowsky">
      <md:firstname>Barbara</md:firstname>
      
      <md:surname>Illowsky</md:surname>
      <md:email>illowskybarbara@deanza.edu</md:email>
    </md:author>
      <md:author id="sdean">
      <md:firstname>Susan</md:firstname>
      
      <md:surname>Dean</md:surname>
      <md:email>deansusan@deanza.edu</md:email>
    </md:author>
  </md:authorlist>

  <md:maintainerlist>
    <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>data</md:keyword>
    <md:keyword>elementary</md:keyword>
    <md:keyword>hypothesis</md:keyword>
    <md:keyword>means</md:keyword>
    <md:keyword>pair</md:keyword>
    <md:keyword>proportion</md:keyword>
    <md:keyword>sheet</md:keyword>
    <md:keyword>solution</md:keyword>
    <md:keyword>statistics</md:keyword>
    <md:keyword>test</md:keyword>
    <md:keyword>two</md:keyword>
  </md:keywordlist>

  <md:abstract>This module provides a solution sheet for the Hypothesis Testing: Two Means, Paired Data, Two Proportions chapter of the Collaborative Statistics textbook/collection.</md:abstract>
</metadata>
  <content>
     <para id="id46712476">Class Time:</para>
    <para id="id46712482">Name:</para>
    
    <list id="id46712495" 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>In words, <emphasis>clearly </emphasis>state what your random variable 
<m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mrow><m:msub><m:mover accent="true"><m:mi>X</m:mi><m:mo>¯</m:mo></m:mover><m:mstyle fontsize="8pt"><m:mrow><m:mn>1</m:mn></m:mrow></m:mstyle></m:msub><m:mo stretchy="false">−</m:mo><m:msub><m:mover accent="true"><m:mi>X</m:mi><m:mo>¯</m:mo></m:mover><m:mstyle fontsize="8pt"><m:mrow><m:mn>2</m:mn></m:mrow></m:mstyle></m:msub></m:mrow></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{ {overline  {X}}  rSub { size 8{1} }  -  {overline  {X}}  rSub { size 8{2} } } {}</m:annotation></m:semantics></m:math>, 
<m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:mrow><m:msub><m:mi>P</m:mi><m:mstyle fontsize="8pt"><m:mrow><m:mn>1</m:mn></m:mrow></m:mstyle></m:msub><m:mrow><m:mi>'</m:mi><m:mo stretchy="false">−</m:mo><m:msub><m:mi>P</m:mi><m:mstyle fontsize="8pt"><m:mrow><m:mn>2</m:mn></m:mrow></m:mstyle></m:msub></m:mrow><m:mi>'</m:mi></m:mrow></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{P rSub { size 8{1} } ' - P rSub { size 8{2} } '} {}</m:annotation></m:semantics></m:math>- or 
<m:math><m:semantics><m:mrow><m:mstyle fontsize="12pt"><m:mrow><m:msub><m:mover accent="true"><m:mi>X</m:mi><m:mo>¯</m:mo></m:mover><m:mstyle fontsize="8pt"><m:mrow><m:mi>d</m:mi></m:mrow></m:mstyle></m:msub></m:mrow></m:mstyle><m:mrow/></m:mrow><m:annotation encoding="StarMath 5.0"> size 12{ {overline  {X}}  rSub { size 8{d} } } {}</m:annotation></m:semantics></m:math> represents.</item>
      <item><name>d</name>State the distribution to use for the test. </item>
      <item><name>e</name>What is the test statistic? </item>
      <item><name>f</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 p-value means for this problem. </item>
      <item><name>g</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><media type="image/png" src="wave.PNG"/></figure></item>

      <item><name>h</name>Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an appropriate conclusion, using <emphasis>complete sentences</emphasis>.

<list id="list1" 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>


      <item><name>i</name>In complete sentences, explain how you determined which distribution to use.</item>
    
    
    </list>   
  </content>
  
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