Discussion:
Q: Assume equal variances for the two populations.
A) Test the null hypothesis that the average length of service for males is the same as for females.
B) Test the null hypothesis that the average length of service for individuals without prior call center experience is the same as those with experience.
C) Test the null hypothesis that the average length of service for individuals with a college degree is the same as for individuals without a college degree.
D) Now conduct tests of hypothesis for equality of variances. Were your assumptions of equal variances valid? If not, repeat the test(s) for means using the unequal variance test.
| Call Center Data |
|
|
|
|
|
|
|
|
|
Male = 1
Female = 0 |
|
Yes = 1
No = 0 |
Yes = 1
No = 0 |
|
| Gender |
Starting Age |
Prior Call Center Experience |
College Degree |
Length of Service (years) |
| 0 |
18 |
0 |
0 |
7.02 |
| 1 |
18 |
1 |
0 |
3.47 |
| 0 |
19 |
0 |
0 |
2.07 |
| 0 |
19 |
0 |
0 |
1.78 |
| 0 |
19 |
0 |
0 |
4.42 |
| 0 |
19 |
0 |
0 |
3.29 |
| 0 |
19 |
1 |
0 |
3.05 |
| 1 |
19 |
1 |
0 |
0.49 |
| 1 |
19 |
1 |
0 |
0.61 |
| 1 |
19 |
0 |
0 |
3.12 |
| 0 |
20 |
0 |
0 |
2.95 |
| 0 |
20 |
1 |
0 |
2.15 |
| 0 |
20 |
0 |
0 |
4.03 |
| 1 |
20 |
0 |
0 |
3.53 |
| 1 |
20 |
0 |
0 |
2.47 |
| 0 |
21 |
0 |
0 |
2.15 |
| 1 |
21 |
0 |
0 |
3.27 |
| 1 |
21 |
0 |
0 |
1.10 |
| 1 |
21 |
0 |
0 |
1.78 |
| 0 |
22 |
0 |
0 |
1.94 |
| 0 |
22 |
1 |
0 |
2.91 |
| 0 |
23 |
1 |
0 |
3.02 |
| 0 |
23 |
1 |
0 |
2.53 |
| 0 |
23 |
0 |
1 |
1.84 |
| 1 |
23 |
1 |
0 |
2.88 |
| 1 |
23 |
0 |
0 |
2.20 |
| 1 |
23 |
0 |
1 |
1.44 |
| 1 |
24 |
0 |
0 |
2.53 |
| 1 |
24 |
0 |
1 |
1.41 |
| 1 |
24 |
0 |
1 |
1.08 |
| 0 |
25 |
1 |
1 |
0.98 |
| 1 |
25 |
1 |
0 |
0.63 |
| 1 |
25 |
0 |
1 |
1.30 |
| 1 |
25 |
1 |
1 |
2.13 |
| 0 |
26 |
1 |
0 |
2.30 |
| 0 |
26 |
1 |
1 |
2.05 |
| 0 |
26 |
1 |
1 |
2.13 |
| 1 |
26 |
1 |
1 |
2.12 |
| 1 |
26 |
0 |
1 |
2.16 |
| 1 |
27 |
0 |
0 |
2.04 |
| 0 |
28 |
0 |
0 |
1.70 |
| 0 |
28 |
0 |
1 |
2.11 |
| 1 |
29 |
0 |
1 |
1.75 |
| 0 |
30 |
0 |
1 |
2.15 |
| 1 |
30 |
1 |
0 |
2.12 |
| 1 |
30 |
0 |
1 |
0.37 |
| 0 |
31 |
0 |
0 |
1.95 |
| 0 |
31 |
0 |
0 |
1.02 |
| 0 |
31 |
0 |
1 |
1.26 |
| 1 |
31 |
0 |
0 |
1.04 |
| 0 |
32 |
0 |
1 |
1.64 |
| 1 |
32 |
1 |
0 |
1.75 |
| 1 |
32 |
1 |
1 |
1.71 |
| 1 |
33 |
0 |
0 |
1.29 |
| 0 |
34 |
1 |
0 |
1.48 |
| 0 |
34 |
0 |
1 |
1.31 |
| 1 |
34 |
0 |
0 |
1.46 |
| 1 |
34 |
1 |
0 |
1.88 |
| 1 |
36 |
0 |
1 |
1.16 |
| 0 |
39 |
0 |
0 |
1.16 |
| 0 |
39 |
0 |
1 |
1.05 |
| 1 |
39 |
0 |
0 |
0.96 |
| 0 |
40 |
1 |
0 |
1.24 |
| 0 |
40 |
0 |
0 |
0.81 |
| 1 |
41 |
1 |
0 |
0.87 |
| 0 |
43 |
1 |
0 |
0.99 |
| 0 |
43 |
1 |
0 |
0.76 |
| 0 |
45 |
0 |
0 |
0.32 |
| 0 |
47 |
1 |
1 |
0.35 |
| 0 |
50 |
1 |
0 |
0.57 |