Chapter 12.1, Problem 7E

For Exercises 7 through 20, assume that all variables are normally distributed, that the samples are independent, that the population variances are equal, and that the samples are simple random samples, one front each of the populations. 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.

7. Leading Businesses The following data show the yearly budgets for leading business sectors in the United States. At a = 0.05, is there a significant difference in the mean budgets of the business sectors? The data are in thousands of dollars.