The numbers of state parks found in selected states in three different regions of the country are listed below. At α = 0.05 can it be concluded that the average number of state parks differs by region?

If the null hypothesis is rejected, use the Scheffé test when the sample sizes are unequal to test the differences between the means, and use the Tukey test when the sample sizes are equal. Perform these steps.
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results, and explain where the differences in means are.
Use the traditional method of hypothesis testing unless otherwise specified.

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South New England 94 72 14 52 West 51 64 35 24 47 28 24 31 40