document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=876266>Question 876266</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three samples below have been obtained from normal populations with equal <BR>\n" );
document.write( "variances. Test the hypothesis at 5% level that the population means are equal. <BR>\n" );
document.write( "A B C <BR>\n" );
document.write( "8 7 12 <BR>\n" );
document.write( "10 5 9 <BR>\n" );
document.write( "7 10 13 <BR>\n" );
document.write( "14 9 12 <BR>\n" );
document.write( "11 9 14 <BR>\n" );
document.write( "[The table value of F at 5% level of significance for 1 = 2 and 2 = 12 is 3.88] <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 #528666 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=528666\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> t =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Fsqrt%28%282.7386%2F5%29%2B%282%2F5%29%29 ALIGN=MIDDLE  ALT=\"2%2Fsqrt%28%282.7386%2F5%29%2B%282%2F5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2.0544 for A &  B , B & C Comparisons<BR>\n" );
document.write( "t =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fsqrt%28%282.7386%2F5%29%2B%282%2F5%29%29 ALIGN=MIDDLE  ALT=\"4%2Fsqrt%28%282.7386%2F5%29%2B%282%2F5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4.10885 for A &  C Comparisons<BR>\n" );
document.write( "p-value = 2*P(t> 2.0544 when df = 4) = 2(.0546) = .1092<BR>\n" );
document.write( "p-value = 2*P(t> 4.1089when df = 4) = 2(.0074) = = .0148<BR>\n" );
document.write( ".0148 < .05 <BR>\n" );
document.write( "A&C comparison significantly says populations mean are NOT equal.<BR>\n" );
document.write( "Recommend vassarstats.net/anova to check Your work<BR>\n" );
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