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 ? ≈ 10.1 thousand dollars. 44.6 35.5 31.3 39.0 54.4 27.8 27.1 26.4 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 (e) Find a 90% confidence interval for ?, the average annual profit per employee for all successful banks. (Round your answers to two decimal places.) lower limit        thousand dollars upper limit        thousand dollars (f) 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 other successful financial institutions? Explain by referring to the confidence interval you computed in part(e). Yes. This confidence interval suggests that the bank profits are less than those of other financial institutions. Yes. This confidence interval suggests that the bank profits do not differ from those of other financial institutions.     No. This confidence interval suggests that the bank profits are less than those of other financial institutions. No. This confidence interval suggests that the bank profits do not differ from those of other financial institutions.

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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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 ? ≈ 10.1 thousand dollars.

44.6 35.5 31.3 39.0 54.4 27.8 27.1 26.4 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

(e) Find a 90% confidence interval for ?, the average annual profit per employee for all successful banks. (Round your answers to two decimal places.)

lower limit        thousand dollars
upper limit        thousand dollars


(f) 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 other successful financial institutions? Explain by referring to the confidence interval you computed in part(e).

Yes. This confidence interval suggests that the bank profits are less than those of other financial institutions.
Yes. This confidence interval suggests that the bank profits do not differ from those of other financial institutions.    
No. This confidence interval suggests that the bank profits are less than those of other financial institutions.
No. This confidence interval suggests that the bank profits do not differ from those of other financial institutions.
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