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

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A personnel director in a particular state claims that the mean annual income is the same in one of the state's counties (County A) as it is in another county (County B). In County A, a random sample of 15 residents has a mean annual income of $42,300 and a standard deviation of $8500. In County B, a random sample of 9 residents has a mean annual income of $39,600 and a standard deviation of $6000. At a=0.01, answer parts (a) through (e). Assume the population variances are not equal. Assume the samples are random and independent, and the populations are normally distributed.(a) Identify the claim and state Ho and HaWhich is the correct claim below?A. "The mean annual income in County A is greater than in County B."B. "The mean annual incomes in Counties A and B are not equal."C. "The mean annual income in County A is less than in County B."D. "The mean annual incomes in Counties A and B are equal."

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