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There are four auto body shops in a community and all claim to promptly serve customers. To check if there is any difference in service, customers are randomly selected from each repair shop and their waiting times in days are recorded. The output from a statistical software package is:
Summary:
Groups
Count
Sum
Average
Variance
Body Shop A
3
15.4
5.1333
0.32333
Body Shop B
4
32
8
1.43333
Body Shop C
5
25
5.04
0.748
Body Shop D
25.9
6.475
0.59583
ANOVA:
Source of Variation
SS
Df
MS
F
p-value
Between Groups
23.37321
7.791069
9.612506
0.001631
Within Groups
9.726167
12
0.819514
Total
44.09938
15
Is there evidence to suggest a difference in the mean waiting times at the four body shops?
Use the .05 significance level.
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