document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=463873>Question 463873</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume I drew 2 random samples of University of Phoenix students, gave them a statistics exam, and one group (men) had a 76 average score and the other group (women) had an average score of 80. Is it possible that things are not as they seem -- that the women are smarter than the men?  Note: the standard deviation of the men's scores was 8 and the women's scores was 6. There were 36 in each sample. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #317808 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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/cgi-bin/show-face.mpl?user=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=317808\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> H[o]:m=f<BR>\n" );
document.write( "H[a]:m<>f<BR>\n" );
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document.write( "Let's do a 2 tailed test with a 95% confidence interval.<BR>\n" );
document.write( "We will compare the means of the two samples.<BR>\n" );
document.write( "M: x[m]=76, s=8, n=36<BR>\n" );
document.write( "F: x[f]=80, s=6, n=36<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma%28x%5Bm%5D-x%5Bf%5D%29=sqrt%28%28sigma%5E2%5Bm%5D%2Fn%5Bm%5D%29%2B%28sigma%5E2%5Bf%5D%2Fn%5Bf%5D%29%29=sqrt%28%2864%2F36%29%2B%2836%2F36%29%29=1.67 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "z=(76-80)/1.67=-2.40<BR>\n" );
document.write( "Since -2.40 falls in the rejection area to the left of -1.96 then the H[o] is rejected and women are smarter than men.<BR>\n" );
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document.write( "Ed\r<BR>\n" );
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document.write( " </SPAN>\n" );
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