A fast food chain operation is interested in determining whether the mean per customer purchase differs by day of the week. To test this, it has selected random samples of customers for each day of the week. The analysts then ran a one-way analysis of variance generating the following output: ANOVA: Single Factor SUMMARY Groups Sunday Monday Tuesday Wednesday Thursday Friday Saturday Соunt Sum 10 66.87856 Average 6.68785596 Variance 1.75047 10 65.86981 6.58698066 1.547407 10 65.45002 6.54500234 2.675132 10 69.71869 6.97186873 2.578555 10 70.07767 7.00776697 3.373209 10 79.35158 7.93515792 0.468469 10 73.99325 7.39932542 2.402465 ANOVA Source of Variation Between Groups Within Groups SS 15.07311 df MS P-value F crit 6. 251218504 1.18854 0.323996 2.246409 133.1614 63 2.11367234 Total 148.2345 69 Based upon this output, which of the following statements is true if the test is conducted at the 0.05 level of significance? A) The experiment is conducted as an unbalanced design. B) There is no basis for concluding that mean sales is different for the different days of the week. C) Based on the p-value, the null hypothesis should be rejected since the p-value exceeds the alpha level. D) Based on the critical value, the null should be rejected.
A fast food chain operation is interested in determining whether the mean per customer purchase differs by day of the week. To test this, it has selected random samples of customers for each day of the week. The analysts then ran a one-way analysis of variance generating the following output: ANOVA: Single Factor SUMMARY Groups Sunday Monday Tuesday Wednesday Thursday Friday Saturday Соunt Sum 10 66.87856 Average 6.68785596 Variance 1.75047 10 65.86981 6.58698066 1.547407 10 65.45002 6.54500234 2.675132 10 69.71869 6.97186873 2.578555 10 70.07767 7.00776697 3.373209 10 79.35158 7.93515792 0.468469 10 73.99325 7.39932542 2.402465 ANOVA Source of Variation Between Groups Within Groups SS 15.07311 df MS P-value F crit 6. 251218504 1.18854 0.323996 2.246409 133.1614 63 2.11367234 Total 148.2345 69 Based upon this output, which of the following statements is true if the test is conducted at the 0.05 level of significance? A) The experiment is conducted as an unbalanced design. B) There is no basis for concluding that mean sales is different for the different days of the week. C) Based on the p-value, the null hypothesis should be rejected since the p-value exceeds the alpha level. D) Based on the critical value, the null should be rejected.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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True or False
Transcribed Image Text:A fast food chain operation is interested in determining whether the mean per customer purchase differs by day of
the week. To test this, it has selected random samples of customers for each day of the week. The analysts then
ran a one-way analysis of variance generating the following output:
ANOVA: Single Factor
SUMMARY
Groups
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Соunt
Variance
1.75047
Sum
Average
6.68785596
10
66.87856
10
65.86981
6.58698066
1.547407
10
65.45002
6.54500234
2.675132
10
69.71869
6.97186873
2.578555
10
70.07767
7.00776697
3.373209
10
79.35158
7.93515792
0.468469
10
73.99325
7.39932542
2.402465
ANOVA
Source of Variation
Between Groups
Within Groups
df
2.51218504 1.18854
P-value
F crit
2.246409
SS
MS
15.07311
6.
0.323996
133.1614
63
2.11367234
Total
148.2345 69
Based upon this output, which of the following statements is true if the test is conducted at the 0.05 level of
significance?
A) The experiment is conducted as an unbalanced design.
B) There is no basis for concluding that mean sales is different for the different days of the week.
C) Based on the p-value, the null hypothesis should be rejected since the p-value exceeds the alpha level.
D) Based on the critical value, the null should be rejected.
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