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

Chapter 8, Problem 17

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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 Pennsylvania claims that themean household income is greater in Allegheny County than it is in ErieCounty. In Allegheny County, a sample of 19 residents has a mean householdincome of $49,700 and a standard deviation of $8800. In Erie County, asample of 15 residents has a mean household income of $42,000 and astandard deviation of $5100. At a = 0.05, can you support the personneldirectors claim? Assume the population variances are not equal. (Adaptedfrom U.S. Census Bureau)