document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1162332>Question 1162332</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In your sample of 23 art students and 30 economics students, the mean amount that a group of economics students like statistics is 26, while the mean amount that a group of art students like statistics is 15. The variance in the economic group is 4.2, while the variance in the art group is 10.3.\r<BR>\n" );
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document.write( "Calculate your test statistic for finding whether the groups differ in how much they like statistics. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #788250 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=788250\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This has SE of sp*( sqrt((1/n1)+(1/n2)))<BR>\n" );
document.write( "sp^2 is  (n1-1)s1^2+(n2-1)s2^2 divided by (n1+n2-2)<BR>\n" );
document.write( "=22*10.3+29*4.2 divided by 51<BR>\n" );
document.write( "=6.831<BR>\n" );
document.write( "sqrt of that is sp or 2.614<BR>\n" );
document.write( "SE is 2.614((1/23)+(1/30))=0.7245\r<BR>\n" );
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document.write( "t=diff in means/SE<BR>\n" );
document.write( "=-11/0.7245=-15.19\r<BR>\n" );
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document.write( "I used art first and had a negative value; if one used economics first, it would be positive. </SPAN>\n" );
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