Kiplinger€™s listed the top 100 public colleges based on many factors. From that list, here is the average debt at graduation for various schools in four selected states. At α = 0.05, can it be concluded that the average debt at graduation differs for these four states?

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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New York Virginia California Pennsylvania 14,734 16,000 14,347 14,392 12,500 14,524 15,176 12,665 12,591 18,385 13,171 14,431 14,689 13,788 15,297 18,105 17,051 16,103 22,400 17,976