Jobs and productivity! How do banks rate? One way to answer this question is to examine annual profits per employee. The following is data about annual profits per employee (in units of 1 thousand dollars per employee) for representative companies in financial services. Assume a 9.2 thousand dollars. 42.5 29.2 41.8 26.4 29.9 34.8 43.2 50.9 42.5 33.0 33.6 36.9 27.0 47.1 33.8 28.1 28.5 29.1 36.5 36.1 26.9 27.8 28.8 29.3 31.5 31.7 31.1 38.0 32.0 31.7 32.9 23.1 54.9 43.8 36.9 31.9 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 decimal places.) thousand dollars (b) Let us say that the preceding data are representative of the entire sector of (successful) financial services corporations. Find a 75% confidence interval for u, the average annual profit per employee for all successful banks. (Round your answers to two decimal places.) lower limit 31.64 thousand dollars upper limit 34.90 thousand dollars (d) Suppose the annual profits are more than 40 thousand dollars per employee. As manager of the bank, would you feel somewhat better? Explain by referring to the confidence interval you computed in part (b). O No. This confidence interval suggests that the bank profits are higher than those of other financial institutions. O Yes. This confidence interval suggests that the bank profits are higher than those of other financial institutions. O Yes. This confidence interval suggests that the bank profits do not differ from those of other financial institutions.

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Jobs and productivity! How do banks rate? One way to answer this question is to examine annual profits per employee. The following is data about annual profits per employee (in units of 1 thousand dollars per employee) for representative companies in financial services. Assume ? ≈ 9.2 thousand dollars.
42.5 29.2 41.8 26.4 29.9 34.8 43.2 50.9 42.5 33.0 33.6
36.9 27.0 47.1 33.8 28.1 28.5 29.1 36.5 36.1 26.9 27.8
28.8 29.3 31.5 31.7 31.1 38.0 32.0 31.7 32.9 23.1 54.9
43.8 36.9 31.9 25.5 23.2 29.8 22.3 26.5 26.7

Jobs and productivity! How do banks rate? One way to answer this question is to examine annual profits per employee. The following is data about annual profits per employee (in units of 1 thousand dollars per employee) for representative
companies in financial services. Assume o x 9.2 thousand dollars.
42.5
29.2
41.8 26.4
29.9
34.8 43.2 50.9 42.5 33.0 33.6
36.9
27.0
47.1
33.8
28.1
28.5
29.1
36.5 36.1 26.9 27.8
31.7 32.9 23.1
26.5 26.7
28.8
29.3
31.5
31.7
31.1
38.0 32.0
54.9
43.8
36.9
31.9
25.5
23.2
29.8
22.3
(a) Use a calculator or appropriate computer software to find x for the preceding data. (Round your answer to two decimal places.)
thousand dollars
(b) Let us say that the preceding data are representative of the entire sector of (successful) financial services corporations. Find a 75% confidence interval for µ, the average annual profit per employee for all successful banks. (Round your
answers to two decimal places.)
31.64
lower limit
thousand dollars
upper limit
34.90
thousand dollars
(d) Suppose the annual profits are more than 40 thousand dollars per employee. As manager of the bank, would you feel somewhat better? Explain by referring to the confidence interval you computed in part (b).
O No. This confidence interval suggests that the bank profits are higher than those of other financial institutions.
Yes. This confidence interval suggests that the bank profits are higher than those of other financial institutions.
O Yes. This confidence interval suggests that the bank profits do not differ from those of other financial institutions.
O O
Transcribed Image Text:Jobs and productivity! How do banks rate? One way to answer this question is to examine annual profits per employee. The following is data about annual profits per employee (in units of 1 thousand dollars per employee) for representative companies in financial services. Assume o x 9.2 thousand dollars. 42.5 29.2 41.8 26.4 29.9 34.8 43.2 50.9 42.5 33.0 33.6 36.9 27.0 47.1 33.8 28.1 28.5 29.1 36.5 36.1 26.9 27.8 31.7 32.9 23.1 26.5 26.7 28.8 29.3 31.5 31.7 31.1 38.0 32.0 54.9 43.8 36.9 31.9 25.5 23.2 29.8 22.3 (a) Use a calculator or appropriate computer software to find x for the preceding data. (Round your answer to two decimal places.) thousand dollars (b) Let us say that the preceding data are representative of the entire sector of (successful) financial services corporations. Find a 75% confidence interval for µ, the average annual profit per employee for all successful banks. (Round your answers to two decimal places.) 31.64 lower limit thousand dollars upper limit 34.90 thousand dollars (d) Suppose the annual profits are more than 40 thousand dollars per employee. As manager of the bank, would you feel somewhat better? Explain by referring to the confidence interval you computed in part (b). O No. This confidence interval suggests that the bank profits are higher than those of other financial institutions. Yes. This confidence interval suggests that the bank profits are higher than those of other financial institutions. O Yes. This confidence interval suggests that the bank profits do not differ from those of other financial institutions. O O
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