document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=219050>Question 219050</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Researchers were studying the relationship between age and pocket depth.  They measured the pocket depth of 11 young subjects (ages 20-25) and 11 old subjects (ages 50-55).  They wanted to know if there was a difference in mean pocket depth between the two groups.  Assume that pocket depth has a relatively normal distribution.Suppose the test statistic for the test above was 4.0. What would your conclusion be assuming you wanted a Type I error of 0.05?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #164848 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=164848\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Researchers were studying the relationship between age and pocket depth. <BR>\n" );
document.write( "They measured the pocket depth of 11 young subjects (ages 20-25) and 11 old subjects (ages 50-55). They wanted to know if there was a difference in mean pocket depth between the two groups. <BR>\n" );
document.write( "Assume that pocket depth has a relatively normal distribution.Suppose the test statistic for the test above was 4.0. What would your conclusion be assuming you wanted a Type I error of 0.05?<BR>\n" );
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document.write( "The test was a 2-tail test because they were looking for a \"difference\".<BR>\n" );
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document.write( "Each tail of the test contained 2.5% <BR>\n" );
document.write( "The critical values are around 2.10<BR>\n" );
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document.write( "The test statistic of 4 would be in the rejection interval.<BR>\n" );
document.write( "So Reject Ho.  The difference in pocket depth is supported by the test.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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