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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

  1. 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

16.7

22.4

13.8

20.7

19.3

18.7

18.0

21.8

16.8

19.3

20.8

14.1

17.7

15.6

17.1

16.1

19.8

18.0

28.2

16.8

19.3

21.7

20.8

14.7

16.0

30.7

24.7

16.5

17.7

23.7

17.4

16.2

17.4

23.2

20.1

16.4

16.8

12.3

15.2

18.5

16.0

    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.

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