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A personnel director in a particular state claims that the mean annual income is greater in one of the? state's counties? (county A) than it is in another county? (county B). In County? A, a random sample of 17 residents has a mean annual income of $42,300 and a standard deviation of $8400. In County? B, a random sample of 8 residents has a mean annual income of $39,800 and a standard deviation of $5800. At (alpha) α = 0.05?, answer parts? (a) through? (e). Assume the population variances are not equal. If? convenient, use technology to solve the problem.
(a) Identify the claim and state H0 and Ha.
Which is the correct claim? below?
What are H0 and Ha??
?(b) Find the critical? value(s) and identify the rejection? region(s).
?(c) Find the standardized test statistic
?(d) Decide whether to reject or fail to reject the null hypothesis.
(e) Interpret the decision in the context of the original claim.
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