For Exercises assume that all variables are normally distributed, that the samples are independent, that the population variances are equal, and that the samples are simple random samples, one from each of the populations. 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.

A large tire company held an end-of-season clearance sale. Listed are sale prices for random samples of different models for three different brands. Is there sufficient evidence at α = 0.05 to conclude a difference in mean prices for the three brands?

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Brand A 112 100 120 93 119 108 103 Brand B 125 150 103 120 131 166 158 Brand C 113 119 136 151 162 141 150