document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179112>Question 1179112</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'd really appreciate the help, thank you!!\r<BR>\n" );
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document.write( "Sales of People magazine are compared over a 5-week period at four Borders outlets in Chicago. Do the data show a significant difference in mean weekly sales at an alpha of 0.05?\r<BR>\n" );
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document.write( "Store 1: 102, 105, 110, 115, 110<BR>\n" );
document.write( "Store 2: 97, 75, 80, 80, 100<BR>\n" );
document.write( "Store 3: 89, 91, 75, 105, 95<BR>\n" );
document.write( "Store 4: 100, 110, 90, 102, 101\r<BR>\n" );
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document.write( "a. State the null and alternative hypotheses (you MUST label which is H0 and which is H1)<BR>\n" );
document.write( "b. What is the critical value?<BR>\n" );
document.write( "c. What is the test statistic?<BR>\n" );
document.write( "d. Do you reject or fail to reject? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813463 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=813463\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%5B0%5D%3A+mu%5B1%5D+=+mu%5B2%5D=+mu%5B3%5D=+mu%5B4%5D ALIGN=MIDDLE  ALT=\"H%5B0%5D%3A+mu%5B1%5D+=+mu%5B2%5D=+mu%5B3%5D=+mu%5B4%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%5B1%5D ALIGN=MIDDLE  ALT=\"H%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >: Not all of the means are equal\r<BR>\n" );
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document.write( "A	B	C	D			<BR>\n" );
document.write( "102	97	89	100			<BR>\n" );
document.write( "105	75	91	110			<BR>\n" );
document.write( "110	80	75	90			<BR>\n" );
document.write( "115	80	105	102			<BR>\n" );
document.write( "110	100	95	101			<BR>\n" );
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document.write( "Anova: Single Factor						<BR>\n" );
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document.write( "SUMMARY						<BR>\n" );
document.write( "Groups	Count	Sum	Average	 Variance		<BR>\n" );
document.write( "A	5	542	108.4	 25.3		<BR>\n" );
document.write( "B	5	432	86.4	 127.3		<BR>\n" );
document.write( "C	5	455	91	 118		<BR>\n" );
document.write( "D	5	503	100.6	 50.8		<BR>\n" );
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document.write( "ANOVA						<BR>\n" );
document.write( "Source of Variation	SS	df	MS	F	         P-value	<BR>\n" );
document.write( "Between Groups	        1453.2	3	484.4	6.028624767	0.006002372	\r<BR>\n" );
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document.write( "Within Groups	        1285.6	16	80.35			<BR>\n" );
document.write( "						F crit<BR>\n" );
document.write( "Total	                2738.8	19		3.238871517	\r<BR>\n" );
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document.write( "b. The critical F-value is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%283.238871517%29 ALIGN=MIDDLE  ALT=\"highlight%283.238871517%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "c. The test statistic is F.\r<BR>\n" );
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document.write( "d. From the result of the Anove test above, since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%5Btest%5D+%3E+F%5Bcrit%5D ALIGN=MIDDLE  ALT=\"F%5Btest%5D+%3E+F%5Bcrit%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or since significance level <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=alpha ALIGN=MIDDLE  ALT=\"alpha\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.05 > p-value = 0.006002372, conclusion is to reject the null hypothesis, and say that at least one of the means is not equal to the others.	<BR>\n" );
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