document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=823835>Question 823835</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Are there any differences among the mean values at &#945; = 0.05? Explain your reasoning.												<BR>\n" );
document.write( "Anova: Single Factor						<BR>\n" );
document.write( "						<BR>\n" );
document.write( "SUMMARY						<BR>\n" );
document.write( "Groups	Count	Sum	Average	Variance		<BR>\n" );
document.write( "Group A	11	4.84	0.44	0.02908		<BR>\n" );
document.write( "Group B	11	2.92	0.265454545	0.023287273		<BR>\n" );
document.write( "Group C	11	0.7	0.063636364	0.047545455		<BR>\n" );
document.write( "Group D	11	4.4	0.4	0.02326		<BR>\n" );
document.write( "						<BR>\n" );
document.write( "						<BR>\n" );
document.write( "ANOVA						<BR>\n" );
document.write( "Source of Variation	SS	df	MS	F	P-value	F crit<BR>\n" );
document.write( "Between Groups	0.950645455	3	0.316881818	10.29064876	3.75905E-05	2.838745406<BR>\n" );
document.write( "Within Groups	1.231727273	40	0.030793182			<BR>\n" );
document.write( "						<BR>\n" );
document.write( "Total	    2.182372727	43				<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #495885 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=495885\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Are there any differences among the mean values at &#945; = 0.05? Explain your reasoning. <BR>\n" );
document.write( "Anova: Single Factor \r<BR>\n" );
document.write( "\n" );
document.write( "SUMMARY <BR>\n" );
document.write( "Groups Count Sum Average Variance <BR>\n" );
document.write( "Group A 11 4.84 0.44 0.02908 <BR>\n" );
document.write( "Group B 11 2.92 0.265454545 0.023287273 <BR>\n" );
document.write( "Group C 11 0.7 0.063636364 0.047545455 <BR>\n" );
document.write( "Group D 11 4.4 0.4 0.02326 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "ANOVA <BR>\n" );
document.write( "Source of Variation SS df MS F P-value F crit<BR>\n" );
document.write( "Between Groups 0.950645455 3 0.316881818 10.29064876 3.75905E-05 2.838745406<BR>\n" );
document.write( "Within Groups 1.231727273 40 0.030793182 \r<BR>\n" );
document.write( "\n" );
document.write( "Total 2.182372727 43 <BR>\n" );
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document.write( "Ho: The means are equal<BR>\n" );
document.write( "Ha: At least one of the means is different<BR>\n" );
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document.write( "p-value = 3.76x10^5 = 0.0000376<BR>\n" );
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document.write( "Since the p-value is less than 5%, reject Ho.<BR>\n" );
document.write( "At least one of the means is different.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=====================\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );