Who makes more? A manufacturing company is reviewing the salaries of its full-time

Chapter 1, Problem 63

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QUESTION:

Who makes more? A manufacturing company is reviewing the salaries of its full-time employees below the executive level at a large plant. The clerical staff is almost entirely female, while a majority of the production workers and technical staff is male. As a result, the distributions of salaries for male and female employees may be quite different. The following table gives the frequencies and relative frequencies for women and men. Women Men Salary ($1000) Number % Number % 1015 89 11.8 26 1.1 1520 192 25.4 221 9.0 2025 236 31.2 677 27.6 2530 111 14.7 823 33.6 3035 86 11.4 365 14.9 3540 25 3.3 182 7.4 4045 11 1.5 91 3.7 4550 3 0.4 33 1.3 5055 2 0.3 19 0.8 5560 0 0.0 11 0.4 6065 0 0.0 0 0.0 6570 1 0.1 3 0.1 Total 756 100.1 2451 99.9 (a) Explain why the total for women is greater than 100%. (b) Make histograms for these data, choosing the vertical scale that is most appropriate for comparing the two distributions. (c) Write a few sentences comparing the salary distributions for men and women.

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QUESTION:

Who makes more? A manufacturing company is reviewing the salaries of its full-time employees below the executive level at a large plant. The clerical staff is almost entirely female, while a majority of the production workers and technical staff is male. As a result, the distributions of salaries for male and female employees may be quite different. The following table gives the frequencies and relative frequencies for women and men. Women Men Salary ($1000) Number % Number % 1015 89 11.8 26 1.1 1520 192 25.4 221 9.0 2025 236 31.2 677 27.6 2530 111 14.7 823 33.6 3035 86 11.4 365 14.9 3540 25 3.3 182 7.4 4045 11 1.5 91 3.7 4550 3 0.4 33 1.3 5055 2 0.3 19 0.8 5560 0 0.0 11 0.4 6065 0 0.0 0 0.0 6570 1 0.1 3 0.1 Total 756 100.1 2451 99.9 (a) Explain why the total for women is greater than 100%. (b) Make histograms for these data, choosing the vertical scale that is most appropriate for comparing the two distributions. (c) Write a few sentences comparing the salary distributions for men and women.

ANSWER:

Step 1 of 4

Given:

The frequencies and relative frequencies of salaries of men and women in a manufacturing company under two different departments are given.

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