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

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

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 6 residents has a mean annual income of $41,600 and a standard deviation of $8500. In County B, a random sample of 8 residents has a mean annual income of $38,900 and a standard deviation of $5100. At o = 0.10, 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 Ho and Ha. Which is the correct claim below? O A. "The mean annual incomes in counties A and B are equal." 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 income in county A is greater than in county B."