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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 out put from a statistical software package is
Summary
Groups Count Sum Average Variance
Group A 3 15.4 5.133333 0.323333
Group B 4 32 8 1.433333
Group C 5 25.2 5.04 0.748
Group D 4 25.9 6.475 0.595833
ANOVA
Source of variation SS DF MS F P-value
Between groups 23.37321 3 7.791069 9.612506 0.001632
With in groups 9.726167 12 0.810514
Total 33.09938 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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