Solved: Testing the Difference Between Two Means In Exercises 1322, (a) identify the

Chapter 8, Problem 18

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Testing the Difference Between Two Means In Exercises 1322, (a) identify the claim and state H0 and Ha, (b) find the critical value(s) and identify the rejection region(s), (c) find the standardized test statistic t, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. Assume the samples are random and independent, and the populations are normally distributed. If convenient, use technology.Annual Income A personnel director from Hawaii claims that the meanhousehold income is the same in Kauai County and Maui County. InKauai County, a sample of 18 residents has a mean household income of$56,900 and a standard deviation of $12,100. In Maui County, a sample of20 residents has a mean household income of $57,800 and a standarddeviation of $8000. At a = 0.10, can you reject the personnel directorsclaim? Assume the population variances are not equal. (Adapted fromU.S. Census Bureau)

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