Question 139876: 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:
Option A Option B Option C
$453________492________467
507_________514________525
513_________536________516
521_________511________500
511_________528________435
615_________678________462
601_________611________411
552_________653________674
551_________596________512
505_________516________559
515_________534________624
512_________543________711
476_________498________512
427_________437________416
Harold elected to conduct a one-way ANOVA for his single-factor experiment.
What is the total sum of squares ?
a. 211,049.6
b. 204,880.6
c. 198,711.6
d. 173,512.1
What is the sum of squares error?
a. 204,880.6
b. 198,711.6
c. 211,049.6
d. 167,343.1
What are the values of the F statistic and the critical value at the 0.05 level of significance?
a. 5.325, 19.55
b. 1.653, 5,18
c. 0.937, 3.24
d. 0.605, 3.24
What conclusion can Harold make, based on the results of the ANOVA?
a. Receipts from option A are significantly greater than the receipts from either options B or C.
b. Receipts from option B are significantly greater than the receipts from either options A or C.
c. Receipts from option C are significantly greater than the receipts from either options A or B.
d. Receipts from all three options are the same
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! What is the total sum of squares ?
a. 211,049.6
b. 204,880.6
c. 198,711.6
d. 173,512.1
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What is the sum of squares error?
a. 204,880.6
b. 198,711.6
c. 211,049.6
d. 167,343.1
Ans: 198,711.6
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Ans: 204,880.6
What are the values of the F statistic and the critical value at the 0.05 level of significance?
a. 5.325, 19.55
b. 1.653, 5,18
c. 0.937, 3.24
d. 0.605, 3.24
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Test statistic: F = 0.605377...
p-value: 0.5509
Conclusion: Fail to Reject Ho.
What conclusion can Harold make, based on the results of the ANOVA?
a. Receipts from option A are significantly greater than the receipts from either options B or C.
b. Receipts from option B are significantly greater than the receipts from either options A or C.
c. Receipts from option C are significantly greater than the receipts from either options A or B.
d. Receipts from all three options are the same
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Ans: d
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Cheers,
Stan H.
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