Chapter 12.2, Problem 5E

For Exercises 3 through 8, the null hypothesis was rejected. Use the Scheffe 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.

5. Exercise 13 in Section 12-1.

13. Expenditures per Pupil 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 a = 0.05, is there a difference m the means? If so, give a possible reason for the difference. (The information in this exercise will be used in Exercise 5 of Section 12-2.)

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

Source: Tribune-Review.