Jobs and productivityt How do banks rate? One way to answer this question is to examine annusl profits per employee. The following is data about annuasl profits per employee (in unts of i thousand dollars per employee) for representative companins in finandal services. Assume e 10.7 thousand dollars. 55.8 412 425 40.4 12.0 419 565 42.5 33.0 11.6 32.9 23.1 54.9 ALR 369 319 25.5 23.2 29.8 22.3 26.5 26.7 (a) Use a calculator or appropriate computer software to find x for the preceding data. (Round your answer to two deomal places.) thousand dolars (b) Let us say that the preceding data are representative of the entire sector of (suocesstul) financial services corporations. Find a 75 conficence interval for , the average annual profit per employen for all successtul banks. (Round your answers to two deamal places.) lower imt upper imt thousand dollars thousand dollars (C) Let us say that you are the manager of a local bank with a large number of employees. Suppose the annual profits per employee are less than 30 thousand dollars per employee. Do you think this might be somewhat low compared with ather successful financial institutions? Explain by refering to the confidenae interval you computed in part (b). • Yes. This confidence interval suoonsts that the bank profits are less than thase ot other financial institutions. O ves. This confidence interval suggests that the bank profits do nat differ from those of other financial institutions. O Na. This contidence interval suggests that the bank profits are less than those of other financial institutions. O No. This contdence interval suggests that the bank profits do nat affer from those of other finanoal institutions. (0) Suppose the annual profits are more than 40 thousand dollars per employee. As manager of the bank, would you feel somewhat better? Explain by refering to the contidence interval you computed in part (b). O Na. This contidence interval sugoests that the bank profits are higher than those of other financial institutions. O Na. This contidence interval sugoests that the bank profits do nat dffer from thone of other financal institutions. • Ves. This confidence interval sugoests that the bank profits are higher than those of other finandal institutions. O Yes. This confidence interval suggests that the bank profits do nat differ from those of other financial institutions. (e) Find a 90% contidence interval for , the average annual profit per employee for all successtul banks. (Round your answers to two decimal places.) lower imt upper imt thousand dollars thousand dollars