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A personnel employee in a particular state claims that the mean annual income is greater in one of the state's counties a(county a) than it

A personnel employee in a particular state claims that the mean annual income is greater in one of the state's counties a(county a) than it is in another county (county b). In county A, a random sample of 6 residents has a mean annual income of $40,100 and a standard deviation of $8900.

In county B, a random sample of 8 residents has a mean annual income of $38500 and a standard deviation of $5400. At a=.10, answer parts c through e. Assume the population variances are not equal. If convenient, use technology to solve the problem.

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 if the original claim.

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