Using the Salary Data Set what is the probability of randomly selecting one individual (male or female) with a current annual salary of over $55,000?
You are a consultant working for Kaplan Consulting. The Director of Human Resources for a multi-national company has requested help in investigating a pay discrimination complaint brought by a female executive. The company provided the data in the Salary Data Set. Use PHStat and the appropriate t test, to investigate the claim of pay discrimination in the current salaries. Be sure to include:
1. Your null and alternative hypotheses;
2. The level of alpha you elect to use and why in terms of Type I or Type II error;
3. Show the output from the analysis;
4. Your interpretation of the results; and
5. A written statement to the director of Human Resources as to whether they should be concerned about the complaint.
Gender (1=male, 2=female) |
Education (years) |
Beginning Salary |
Current Salary |
Previous Experience (months) |
1 |
8 |
$10,200 |
$27,100 |
0 |
1 |
8 |
$11,550 |
$31,300 |
24 |
2 |
8 |
$12,000 |
$28,350 |
26 |
2 |
8 |
$12,750 |
$24,150 |
96 |
2 |
8 |
$12,000 |
$21,150 |
159 |
1 |
8 |
$13,200 |
$31,900 |
190 |
1 |
8 |
$13,500 |
$21,600 |
228 |
1 |
8 |
$16,050 |
$36,250 |
264 |
2 |
8 |
$12,450 |
$21,750 |
318 |
1 |
8 |
$18,750 |
$35,200 |
344 |
2 |
8 |
$15,000 |
$30,750 |
451 |
1 |
12 |
$12,750 |
$31,900 |
0 |
1 |
12 |
$11,250 |
$44,900 |
0 |
1 |
12 |
$11,250 |
$23,400 |
0 |
1 |
12 |
$10,950 |
$28,150 |
0 |
2 |
12 |
$11,250 |
$20,400 |
0 |
2 |
12 |
$11,250 |
$20,700 |
2 |
2 |
12 |
$11,250 |
$21,300 |
3 |
2 |
12 |
$11,250 |
$28,500 |
4 |
2 |
12 |
$11,250 |
$19,650 |
5 |
2 |
12 |
$11,250 |
$22,350 |
5 |
1 |
12 |
$16,500 |
$42,200 |
7 |
2 |
12 |
$10,950 |
$24,300 |
8 |
2 |
12 |
$11,250 |
$19,950 |
8 |
2 |
12 |
$10,950 |
$22,050 |
9 |
2 |
12 |
$11,400 |
$25,500 |
9 |
1 |
12 |
$12,000 |
$45,500 |
11 |
2 |
12 |
$13,050 |
$26,550 |
11 |
2 |
12 |
$12,000 |
$27,750 |
11 |
2 |
12 |
$10,950 |
$19,650 |
11 |
2 |
12 |
$11,250 |
$23,100 |
13 |
1 |
12 |
$12,900 |
$26,700 |
18 |
1 |
12 |
$11,250 |
$23,400 |
18 |
1 |
12 |
$15,000 |
$40,800 |
24 |
1 |
12 |
$13,500 |
$29,700 |
26 |
1 |
12 |
$13,500 |
$27,900 |
32 |
2 |
12 |
$15,750 |
$33,540 |
47 |
2 |
12 |
$15,000 |
$30,750 |
56 |
2 |
12 |
$13,500 |
$27,300 |
66 |
2 |
12 |
$16,500 |
$35,700 |
72 |
1 |
12 |
$15,000 |
$37,500 |
75 |
2 |
12 |
$15,750 |
$30,270 |
80 |
2 |
12 |
$15,750 |
$24,450 |
87 |
1 |
12 |
$14,250 |
$24,450 |
117 |
1 |
12 |
$15,000 |
$35,000 |
121 |
1 |
12 |
$15,750 |
$37,650 |
132 |
2 |
12 |
$13,950 |
$19,650 |
133 |
1 |
12 |
$15,000 |
$25,800 |
143 |
1 |
12 |
$11,250 |
$28,500 |
154 |
2 |
12 |
$15,750 |
$31,200 |
155 |
2 |
12 |
$12,000 |
$20,850 |
163 |
2 |
12 |
$10,200 |
$16,350 |
163 |
2 |
12 |
$12,000 |
$23,100 |
228 |
1 |
12 |
$13,500 |
$44,000 |
244 |
2 |
12 |
$33,750 |
$49,400 |
272 |
2 |
12 |
$12,000 |
$21,450 |
381 |
1 |
12 |
$15,750 |
$30,600 |
460 |
2 |
15 |
$12,750 |
$28,200 |
19 |
2 |
15 |
$13,950 |
$22,950 |
22 |
2 |
15 |
$16,500 |
$29,400 |
24 |
2 |
15 |
$15,000 |
$30,900 |
25 |
1 |
15 |
$14,250 |
$27,750 |
34 |
2 |
15 |
$14,250 |
$46,000 |
48 |
2 |
15 |
$15,000 |
$35,250 |
54 |
2 |
15 |
$15,750 |
$30,300 |
55 |
1 |
15 |
$15,000 |
$26,700 |
56 |
1 |
15 |
$14,250 |
$34,650 |
61 |
2 |
15 |
$15,000 |
$32,400 |
64 |
2 |
15 |
$13,500 |
$32,100 |
67 |
2 |
15 |
$16,500 |
$40,350 |
80 |
2 |
15 |
$16,500 |
$28,050 |
84 |
2 |
15 |
$20,550 |
$49,000 |
86 |
2 |
15 |
$18,750 |
$26,000 |
114 |
1 |
15 |
$12,750 |
$27,900 |
115 |
1 |
15 |
$13,500 |
$23,850 |
122 |
2 |
15 |
$16,800 |
$35,100 |
137 |
2 |
15 |
$21,000 |
$45,000 |
138 |
1 |
15 |
$27,000 |
$57,000 |
144 |
2 |
15 |
$13,500 |
$23,700 |
359 |
1 |
16 |
$17,250 |
$34,500 |
3 |
2 |
16 |
$30,000 |
$56,750 |
15 |
2 |
16 |
$21,750 |
$70,000 |
19 |
1 |
16 |
$19,500 |
$52,650 |
20 |
2 |
16 |
$18,750 |
$40,200 |
36 |
1 |
16 |
$20,250 |
$34,950 |
55 |
1 |
16 |
$23,250 |
$45,625 |
60 |
2 |
16 |
$27,510 |
$67,500 |
70 |
2 |
16 |
$12,750 |
$25,050 |
123 |
2 |
16 |
$26,250 |
$32,300 |
126 |
1 |
16 |
$44,100 |
$110,500 |
128 |
2 |
16 |
$16,500 |
$30,300 |
143 |
1 |
16 |
$47,490 |
$66,000 |
150 |
2 |
16 |
$60,000 |
$79,500 |
150 |
2 |
17 |
$32,490 |
$60,000 |
17 |
1 |
17 |
$12,750 |
$29,100 |
375 |
1 |
18 |
$32,490 |
$68,125 |
29 |
1 |
19 |
$33,000 |
$61,250 |
9 |
1 |
19 |
$19,500 |
$36,000 |
21 |
2 |
19 |
$36,750 |
$51,875 |
199 |
2 |
19 |
$27,480 |
$52,125 |
221 |