document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=139876>Question 139876</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Johnson’s Service Center has devised three potential options available to preferred customers who redeem coupons and buy at least 10 gallons of fuel when they stop in. Option A is a flat 3 cents off each gallon. Option B is a combination of 2 cents off plus another $1 discount on the regular price of a $5 deluxe car wash. Option C is a $2 discount on the same $5 deluxe car wash but no reduction in the fuel purchase. The owner, Harold Johnson, ran each option on three different two-week trial periods and tracked daily sales receipts from those customers who redeemed their coupons. Results are shown in the table below: <BR>\n" );
document.write( "Option A	Option B	Option C<BR>\n" );
document.write( "$453________492________467<BR>\n" );
document.write( "507_________514________525<BR>\n" );
document.write( "513_________536________516<BR>\n" );
document.write( "521_________511________500<BR>\n" );
document.write( "511_________528________435<BR>\n" );
document.write( "615_________678________462<BR>\n" );
document.write( "601_________611________411<BR>\n" );
document.write( "552_________653________674<BR>\n" );
document.write( "551_________596________512<BR>\n" );
document.write( "505_________516________559<BR>\n" );
document.write( "515_________534________624<BR>\n" );
document.write( "512_________543________711<BR>\n" );
document.write( "476_________498________512<BR>\n" );
document.write( "427_________437________416\r<BR>\n" );
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document.write( "	Harold elected to conduct a one-way ANOVA for his single-factor experiment.\r<BR>\n" );
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document.write( "		What is the total sum of squares ?<BR>\n" );
document.write( "		a.	211,049.6<BR>\n" );
document.write( "		b.	204,880.6<BR>\n" );
document.write( "		c.	198,711.6<BR>\n" );
document.write( "		d.	173,512.1\r<BR>\n" );
document.write( "\n" );
document.write( "	<BR>\n" );
document.write( "		What is the sum of squares error?<BR>\n" );
document.write( "		a.	204,880.6<BR>\n" );
document.write( "		b.	198,711.6<BR>\n" );
document.write( "		c.	211,049.6<BR>\n" );
document.write( "		d.	167,343.1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "		What are the values of the F statistic and the critical value at the 0.05 level of significance?<BR>\n" );
document.write( "		a.	5.325, 19.55<BR>\n" );
document.write( "		b.	1.653, 5,18<BR>\n" );
document.write( "		c.	0.937, 3.24<BR>\n" );
document.write( "		d.	0.605, 3.24\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "		What conclusion can Harold make, based on the results of the ANOVA?<BR>\n" );
document.write( "		a.	Receipts from option A are significantly greater than the receipts from either options B or C.<BR>\n" );
document.write( "		b.	Receipts from option B are significantly greater than the receipts from either options A or C.<BR>\n" );
document.write( "		c.	Receipts from option C are significantly greater than the receipts from either options A or B.<BR>\n" );
document.write( "d.	Receipts from all three options are the same<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 #101953 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=101953\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the total sum of squares ?<BR>\n" );
document.write( "a. 211,049.6<BR>\n" );
document.write( "b. 204,880.6<BR>\n" );
document.write( "c. 198,711.6<BR>\n" );
document.write( "d. 173,512.1 <BR>\n" );
document.write( "------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "What is the sum of squares error?<BR>\n" );
document.write( "a. 204,880.6<BR>\n" );
document.write( "b. 198,711.6<BR>\n" );
document.write( "c. 211,049.6<BR>\n" );
document.write( "d. 167,343.1 <BR>\n" );
document.write( "Ans: 198,711.6<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "Ans: 204,880.6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "What are the values of the F statistic and the critical value at the 0.05 level of significance?<BR>\n" );
document.write( "a. 5.325, 19.55<BR>\n" );
document.write( "b. 1.653, 5,18<BR>\n" );
document.write( "c. 0.937, 3.24<BR>\n" );
document.write( "d. 0.605, 3.24<BR>\n" );
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document.write( "Test statistic: F = 0.605377...<BR>\n" );
document.write( "p-value: 0.5509<BR>\n" );
document.write( "Conclusion: Fail to Reject Ho.  \r<BR>\n" );
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document.write( "What conclusion can Harold make, based on the results of the ANOVA?<BR>\n" );
document.write( "a. Receipts from option A are significantly greater than the receipts from either options B or C.<BR>\n" );
document.write( "b. Receipts from option B are significantly greater than the receipts from either options A or C.<BR>\n" );
document.write( "c. Receipts from option C are significantly greater than the receipts from either options A or B.<BR>\n" );
document.write( "d. Receipts from all three options are the same\r<BR>\n" );
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document.write( "Ans: d<BR>\n" );
document.write( "=======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );