The average local cell phone monthly bill is $50.07. A random sample of monthly bills from three different providers is listed below. At α = 0.05 is there a difference in mean bill amounts among providers?

Assume that all variables are normally distributed, that the samples are independent, and that the population variances are equal. Also, for each exercise, perform the following steps.
a. State the hypotheses and identify the claim.
b. Find the critical value.
c. Compute the test value.
d. Make the decision.
e. Summarize the results, and explain where the differences in the means are.
Use the traditional method of hypothesis testing unless otherwise specified.

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Provider X Provider Y Provider Z 48.20 60.59 72.50 55.62 89.47 105.02 85.73 61.95 75.69 82.11 59.27 65.25 70.27 42.19 52.34