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 17 residents has a mean annual income of $42,000 and a standard deviation of $8500. in County B, a random sample of 8 residents has a mean annual income of $39,500 and a standard deviation of $5600. At or: 0.05, 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 H0 and Ha. Which is the correct claim below? > i A. "The mean annual incomes in counties A and B are not equal." {:23 B. "The mean annual income in countyA is less than in county B." L3 C. "The mean annual income in countyA is greater than in county B." nui' D. "The mean annual incomes in counties Aand B are equal." What are H0 and Ha? The null hypothesis, H0, is V . The alternative hypothesis, Ha, is V . Which hypothesis is the claim? 5:3 The null hypothesis, Ho {:3 The alternative hypothesis, Ha (b) Find the critical value(s) and identify the rejection region(s). Enter the critical value(s) below. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) Select the correct rejection region(s) below. 1A -L(O(L 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 17 residents has a mean annual income of $42,000 and a standard deviation of $8500. In County B, a random sample of 8 residents has a mean annual income of $39,500 and a standard deviation of $5600. At a = 0.05, answer parts (a) through (e). Assume the population variances are not equal. If convenient, use technology to solve the problem. C] The alternative hypothesis, Ha (b) Find the critical value(s) and identify the rejection region(s). Enter the critical value(s) below. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) Select the correct rejection region(s) below. C} A. -t0to xiii\" c. t>t0 C} D. t