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 12 residents has a mean annual income of $41 ,100 and a standard deviation of $8200. In County B, a random sample of 10 residents has a mean annual income of $38,500 and a standard deviation of $5800. At a = 0.005, 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 \"0 and He. Which is the correct claim below? 0 A. "The mean annual incomes in counties Aand B are not equal." 0 B. "The mean annual incomes in counties Aand B are equal." 0 C. "The mean annual income in county Ais less than in county B." O D. "The mean annual income in county Ais greater than in county B."