A personnel director in a particular state claims that the meanannual income is greater in one of the​ state's counties​ (countyA) than it is in another county​ (county B). In County​ A, a randomsample of 1818 residents has a mean annual income of $ 40 comma800$40,800 and a standard deviation of $ 8500$8500. In County​ B, arandom sample of 88 residents has a mean annual income of $ 37comma 700$37,700 and a standard deviation of $ 5500$5500. Atalphaαequals=0.100.10​, answer parts​ (a) through​ (e). Assume thepopulation variances are not equal. If​ convenient, use technologyto solve the problem.