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For one of the tasks in a manufacturing process, the mean time for tasks completion has historically been 35.0 minutes, with a standard deviation of 2.5 minutes. Workers have recently complained that the machinery used in the task in wearing out and slowing down. In response to the complaints, plant engineers have measured the time required for a sample consisting of 100 task operations.

minutes
41.70
35.54
35.31
35.04
40.61
33.25
39.36
34.88
37.89
38.30
37.86
33.70
35.68
32.64
38.72
32.99
34.08
36.57
32.24
34.65
32.43
34.44
37.03
34.62
34.97
41.63
37.67
38.51
39.26
39.14
34.20
37.28
36.35
36.11
39.16
38.72
37.33
40.89
37.35
38.96
36.55
31.82
37.69
36.85
40.73
37.72
37.67
37.32
38.60
40.47
35.15
37.75
36.51
39.13
33.30
35.33
41.05
29.04
37.21
39.76
34.47
43.76
39.54
33.41
34.82
34.97
38.98
35.68
38.53
35.21
36.09
36.38
34.92
38.01
41.71
32.31
37.21
36.17
37.80
35.30
37.00
35.51
40.27
38.60
38.01
36.68
37.92
30.71
35.08
35.84
34.89
37.10
38.57
41.41
38.90
37.35
37.33
34.39
33.84
35.77

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Solution Summary

The solution provides step by step method for the calculation of test statistic for one sample t test . Formula for the calculation and Interpretations of the results are also included.

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