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    Interpreation of results of ANOVA

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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 5.133333 0.323333
    Body Shop B 4 32 8 1.433333
    Body Shop C 5 25.2 5.04 0.748
    Body Shop 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
    Within 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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