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A personnel director in a particular state claims that the mean annual income is greater in...

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 random sample of 13 residents had a mean annual income of $40600 and a standard deviation of $8300. In county B, a random sample of 11 residents has a mean annual income of $38500 and a standard deviation of $5700. At a=.025, answer b through e. Assume the population variance s are not equal. If convenient, use technology to solve the problem.

b. Find the critical value (s) and identify the rejection regions
c. Find the standardized test statistic t=___.
D. Decide whether to reject or fail to reject the null hypothesis.
e. Interpret the decision in the context of the original claim with%.

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