Question

18) 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 Count Sum Average Variance Sunday 10 66.87856 6.68785596 1.75047 Monday 10 65.86981 6.58698066 1.547407 Tuesday 10 65.45002 6.54500234 2.675132 Wednesday 10 69.71869 6.97186873 2.578555 Thursday 10 70.07767 7.00776697 3.373209 Friday 10 79.35158 7.93515792 0.468469 Saturday 10 73.99325 7.39932542 2.402465 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 15.07311 6 2.51218504 1.18854 0.323996 2.246409 Within Groups 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) Based on the critical value, the null should be rejected. B) Based on the p-value, the null hypothesis should be rejected since the p-value exceeds the alpha level. C) The experiment is conducted as an unbalanced design. D) There is no basis for concluding that mean sales is different for the different days of the week.

          18) 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 Count Sum Average Variance
Sunday 10 66.87856 6.68785596 1.75047
Monday 10 65.86981 6.58698066 1.547407
Tuesday 10 65.45002 6.54500234 2.675132
Wednesday 10 69.71869 6.97186873 2.578555
Thursday 10 70.07767 7.00776697 3.373209
Friday 10 79.35158 7.93515792 0.468469
Saturday 10 73.99325 7.39932542 2.402465

ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 15.07311 6 2.51218504 1.18854 0.323996 2.246409
Within Groups 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) Based on the critical value, the null should be rejected.
B) Based on the p-value, the null hypothesis should be rejected since the p-value exceeds the alpha level.
C) The experiment is conducted as an unbalanced design.
D) There is no basis for concluding that mean sales is different for the different days of the week.

18) 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 Count Sum Average Variance
Sunday 10 66.87856 6.68785596 1.75047
Monday 10 65.86981 6.58698066 1.547407
Tuesday 10 65.45002 6.54500234 2.675132
Wednesday 10 69.71869 6.97186873 2.578555
Thursday 10 70.07767 7.00776697 3.373209
Friday 10 79.35158 7.93515792 0.468469
Saturday 10 73.99325 7.39932542 2.402465

ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 15.07311 6 2.51218504 1.18854 0.323996 2.246409
Within Groups 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) Based on the critical value, the null should be rejected.
B) Based on the p-value, the null hypothesis should be rejected since the p-value exceeds the alpha level.
C) The experiment is conducted as an unbalanced design.
D) There is no basis for concluding that mean sales is different for the different days of the week.

Added by Erica W.

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