In Case Study 9.1, we discussed the National Survey for Professional, Administrative, Technical, and Clerical Pay, which is conducted annually to determine whether federal pay scales are commensurate with private sector salaries. Recall that government and private workers in the study are matched as closely as possible before the salaries are compared. Suppose that the table shows the annual salaries for twelve pairs of individuals in the sample matched on job level and experience. Use these data to construct a 99% confidence interval for the difference between the mean salaries of the private and government sectors. PAIR PRIVATE GOV’T PAIR PRIVATE GOV’T 1 $12,500 $11,700 7 $15,800 $14,500 2 22,300 20,900 8 17,500 17,900 3 14,500 14,800 9 23,300 21,400 4 32,300 29,900 10 42,100 43,200 5 20,800 21,500 11 16,800 15,200 6 19,200 18,400 12 14,500 14,200
In Case Study 9.1, we discussed the National Survey for Professional, Administrative, Technical, and Clerical Pay, which is conducted annually to determine whether federal pay scales are commensurate with private sector salaries. Recall that government and private workers in the study are matched as closely as possible before the salaries are compared. Suppose that the table shows the annual salaries for twelve pairs of individuals in the sample matched on job level and experience. Use these data to construct a 99% confidence interval for the difference between the mean salaries of the private and government sectors.
PAIR |
PRIVATE |
GOV’T |
PAIR |
PRIVATE |
GOV’T |
1 |
$12,500 |
$11,700 |
7 |
$15,800 |
$14,500 |
2 |
22,300 |
20,900 |
8 |
17,500 |
17,900 |
3 |
14,500 |
14,800 |
9 |
23,300 |
21,400 |
4 |
32,300 |
29,900 |
10 |
42,100 |
43,200 |
5 |
20,800 |
21,500 |
11 |
16,800 |
15,200 |
6 |
19,200 |
18,400 |
12 |
14,500 |
14,200 |
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