Help Desk (Raw Data, Software Required): There are four student employees at the

Question

Help Desk (Raw Data, Software Required): There are four student employees at the Computer Help Desk. The supervisor wants to determine if there is a difference in the mean number of cdients served per hour between the four employees. The data for the number of dients served from a random selection of hours is depicted below. The supervisor claims there is a difference in the mean number of clients served per hour for these·mployees. Alan Beth Carl Denise MS The Test: Complete the steps in testing the claim that there is a difference in the mean number of dlients served per hour for these employees. (a) What is the null hypothesis for this test? O Ha: At least one of the population means is different from the others (b) What is the alternate hypothesis for this test? O Hai At least one of the population means is different from the others. (c) use software to get the Prvalie of the test statistic tFD. Round to 4 decimal places unless your software automatically rounds to 3 decimal places. Pivalue (d) what ls the conclusion regarding the null hypothesis at the 0,30 significance leve? o reject Ho O fall to reject Ha (e) Choose the appropriate concluding statement. O We have proven that all of the mean number of clients served per hour for these employees are the same O There is sufficient evidence to conclude that the mean number of clients served per hour for these employees are different. There is not enough evidence to conclude that the mean number of clients served per hour for these employees are different.

Explanation / Answer

a) Option (A)

b) Option (A)

c)

Below is the output of ANOVA analysis

c) p-value = 0.027

d) Reject H0

e) Option B

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Alan 6 24 4 1.2 Beth 9 48 5.333333333 2.25 Carl 7 26 3.714285714 1.571428571 Denise 9 29 3.222222222 2.694444444 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 21.72555044 3 7.241850145 3.556116367 0.027362743 2.960351318 Within Groups 54.98412698 27 2.036449148 Total 76.70967742 30

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