The per-pupil costs (in thousands of dollars) for cyber charter school tuition for school districts in three areas of southwestern Pennsylvania are shown. At α = 0.05, is there a difference in the means? If so, give a possible reason for the difference.

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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Area I Area II Area III 6.2 9.3 6.8 6.1 6.7 6.9 7.5 8.2 8.5 8.2 7.0 9.3 5.8 6.4 5.6 7.1 3.0 3.5