For Exercises 8 through 19, assume that all variables are

Chapter 12, Problem 13

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For Exercises 8 through 19, 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.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 in the means? If so, give a possible reason for the difference. (The information in this exercise will be used in Exercise 5 of Section 122.) 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