document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=765159>Question 765159</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The following is sample information. Test the hypothesis that the treatment means are equal. Use the .05 significance level.<BR>\n" );
document.write( "Treatment 1: 8,6,10,9<BR>\n" );
document.write( "Treatment 2: 3,2,4,3<BR>\n" );
document.write( "Treatment 3: 3,4,5,4<BR>\n" );
document.write( "a. State the null and alternative hypothesis<BR>\n" );
document.write( "b. What is the decision rule?<BR>\n" );
document.write( "c. Compute the SST,SSE and SS total<BR>\n" );
document.write( "d. Compute an ANOVA table<BR>\n" );
document.write( "e. State decision regarding null hypothesis </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #465979 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=465979\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The following is sample information. Test the hypothesis that the treatment means are equal. Use the .05 significance level.<BR>\n" );
document.write( "Treatment 1: 8,6,10,9<BR>\n" );
document.write( "Treatment 2: 3,2,4,3<BR>\n" );
document.write( "Treatment 3: 3,4,5,4<BR>\n" );
document.write( "a. State the null and alternative hypothesis<BR>\n" );
document.write( "Ho: The means are all equal<BR>\n" );
document.write( "Ha: At least one of the means is different<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "b. What is the decision rule?<BR>\n" );
document.write( "c. Compute the SST,SSE and SS total<BR>\n" );
document.write( "d. Compute an ANOVA table<BR>\n" );
document.write( "e. State decision regarding null hypothesis<BR>\n" );
document.write( "------<BR>\n" );
document.write( "I ran an ANOVA program on my TI-84 and got the following:<BR>\n" );
document.write( "Test statistic:: F = 21.9412<BR>\n" );
document.write( "p-value::: 0.000346<BR>\n" );
document.write( "Factor:::<BR>\n" );
document.write( "SS:: 62.167<BR>\n" );
document.write( "MS:: 31.08<BR>\n" );
document.write( "Error:::<BR>\n" );
document.write( "SS: 12.75<BR>\n" );
document.write( "MS: 1.4167<BR>\n" );
document.write( "Sxp = 1.10-2<BR>\n" );
document.write( "============================<BR>\n" );
document.write( "Conclusion:  Since the p-value is less than 5%, reject<BR>\n" );
document.write( "Ho at the 5% significance level.<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );