(a) Identify the claim and state Ho and Ha, the claim is

(b) Find the critical value(s) and identify the rejection region(s).

Since the alternative hypothesis, mu 1- not equals- mu 2, contains the not equal to symbol, the test is a two-tailed test. Draw the rejection region

(c) Find the standardized test statistic, rounding to three decimal places.

(d) Decide whether to reject or fail to reject the null hypothesis.

(e) Interpret the decision in the context of the original claim.

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 18 residents has a mean annual income of $40,500 and a standard deviation of $8100. In County B, a random sample of 8 residents has a mean annual income of $39,500 and a standard deviation of $5500. At o = 0.10, 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 Ha. Which is the correct claim below? O A. "The mean annual income in County A is greater than in County B." O B. "The mean annual incomes in Counties A and B are not equal." O c. "The mean annual income in County A is less than in County B." O D. "The mean annual incomes in Counties A and B are equal."