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.

The null hypothesis was rejected. Use the Scheffé test when sample sizes are unequal or the Tukey test when sample sizes are equal, to test the differences between the pairs of means. Assume all variables are normally distributed, samples are independent, and the population variances are equal.

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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