In: Statistics and Probability
|
Salary |
Gender1 |
|
22.8 |
F |
|
23.6 |
F |
|
23.4 |
F |
|
34.1 |
F |
|
35.2 |
F |
|
25.3 |
F |
|
51 |
F |
|
24.4 |
F |
|
22.7 |
F |
|
23.9 |
F |
|
22.6 |
F |
|
24.1 |
F |
|
74.5 |
F |
|
48.9 |
F |
|
57.7 |
F |
|
63.7 |
F |
|
77.7 |
F |
|
79.1 |
F |
|
23 |
F |
|
42.9 |
F |
|
46.2 |
F |
|
28.1 |
F |
|
60 |
F |
|
42.1 |
F |
|
61.5 |
F |
|
36.2 |
M |
|
42.1 |
M |
|
23 |
M |
|
21.8 |
M |
|
40.5 |
M |
|
67.5 |
M |
|
51.1 |
M |
|
77.2 |
M |
|
22.8 |
M |
|
33.5 |
M |
|
65.6 |
M |
|
27.9 |
M |
|
45.5 |
M |
|
74.4 |
M |
|
55.5 |
M |
|
42.3 |
M |
|
24.3 |
M |
|
77.5 |
M |
|
27.2 |
M |
|
62.9 |
M |
|
23 |
M |
|
63.8 |
M |
|
61.8 |
M |
|
54.9 |
M |
|
61.9 |
M |
1. Use the data to determine the salary statistics for each gender
| Male | Female | |
| Mean | ||
| Sample Standard Deviation | ||
| Range |
2. Develope a 5-number summary for the overall, male and female salary variable.
| Overall | Males | Females | |
| Max | |||
|
3rd Q |
|||
| Midpoint | |||
| 1st Q | |||
| Min |
3. Using the entire Salary range and the M and F midpoints found in Q2
What would each midpoint's percentile rank be in the overall range?
| Male | Female |
What is the normal curve z value for each midpoint within overall range?
| Male | Female |
The Empirical Probability of equaling or exceeding (=>) that value for
| Male | Female |
The Normal curve Prob of => that value for each group
| Male | Female |
Conclusions: What do you make of these results?
What does this suggest about our equal pay for equal work question?