A researcher investigates the average number of customer complaints per week received by three different service centers: Center A, Center B, and Center C. A random sample of weekly complaints was recorded over several weeks for each center, as shown below:At the 0.050.05 significance level, test the claim that the mean number of weekly complaints is the same across the three service centers. If the null hypothesis is rejected, identify which center appears different and describe how.

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Determining the Minimum Sample Size Required
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Problem 14Multiple Choice

A researcher investigates the average number of customer complaints per week received by three different service centers: Center A, Center B, and Center C. A random sample of weekly complaints was recorded over several weeks for each center, as shown below:

At the $0.05$ significance level, test the claim that the mean number of weekly complaints is the same across the three service centers. If the null hypothesis is rejected, identify which center appears different and describe how.

Fail to reject the null hypothesis; all three centers appear to have similar average complaints

Reject the null hypothesis; Center C is different by having the highest average number of complaints

Reject the null hypothesis; Center B is different by having the lowest average number of complaints

Fail to reject the null hypothesis; Center A is different by having the highest average number of complaints

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