Chapin Manufacturing Company operates 24 hours a day, five days a week. The workers rotate shifts each week. Management is interested in whether there is a difference in the number of units produced when the employees work on various shifts. A sample of five workers is selected and their output recorded on each shift.

Units Produced

Employee Day Afternoon Night

Skaff 38 24 34

Lum 35 23 37

Clark 28 26 38

Treece 35 26 23

Morgan 22 23 24

1. At the 0.01 significance level, can we conclude there is a difference in the mean production rate by shift or by employee?

Question

Mathematics

Jase Patterson

20 July, 07:56

Chapin Manufacturing Company operates 24 hours a day, five days a week. The workers rotate shifts each week. Management is interested in whether there is a difference in the number of units produced when the employees work on various shifts. A sample of five workers is selected and their output recorded on each shift.

Units Produced

Employee Day Afternoon Night

Skaff 38 24 34

Lum 35 23 37

Clark 28 26 38

Treece 35 26 23

Morgan 22 23 24

1. At the 0.01 significance level, can we conclude there is a difference in the mean production rate by shift or by employee?

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Answers (1)

Know the Answer?

Dominique Mercer · Answer 1

The answer is there is a difference in the mean production rate by shift

Step-by-step explanation:

The level of significance is actually very low since the same production level is maintained for each of the 5 workers at the same time in the afternoon.

As for the other shifts, that is, the day shift and the night shift, the level of significance varies according to the production established by each worker. h