The director of training for a company manufacturing electronic equipment is interested in determining whether different training methods have an effect on the productivity of assembly-line employees. She randomly assigns 42 recently hired employees into two groups of 21, of which the first receive a computer-assisted, individual-based training program and the other receive a team-based training program. Upon completion of the training, the employees are evaluated on the time (in seconds) it took to assemble a part. The results are as follows:
|
Computer-Assisted, Individual-Based Program
|
Team-Based Program
|
|
19.4
|
22.4
|
|
20.7
|
18.7
|
|
21.8
|
19.3
|
|
14.1
|
15.6
|
|
16.1
|
18
|
|
16.8
|
21.7
|
|
14.7
|
30.7
|
|
16.5
|
23.7
|
|
16.2
|
23.2
|
|
16.4
|
12.3
|
|
18.5
|
16
|
|
16.7
|
13.8
|
|
19.3
|
18
|
|
16.8
|
20.8
|
|
17.7
|
17.1
|
|
19.8
|
28.2
|
|
19.3
|
20.8
|
|
16
|
24.7
|
|
17.7
|
17.4
|
|
17.4
|
20.1
|
|
16.8
|
15.2
|
1. Using a .05 level of significance, is there evidence of a difference in the average time to assemble a part between the two programs?
1. Reject, -2.15 < -2.02
2. Fail to reject, -2.15 < -2.02
3. Reject, -2.42 < -2.02
4. Fail to reject, -2.42 < -2.02
2. Using a 0.05 level of significance, is there evidence of a difference in the variances between the two programs?
1. Reject, 4.63 > 2.88
2. Fail to reject, 4.63 > 2.88
3. Reject, 5.60 > 2.46
4. Reject, 5.63 > 2.88
3. Please write the null and alternative hypotheses for both 1 and 2.