A factory operates on 2 shifts a day, a day shift and an afternoon to evening shift. While the production manager believes that the average output per worker is higher during the day shift than it is during the night, there are times that he cannot be certain as he has observed some night shift workers to be quite alert. He decides to find out by recording the output of a sample of 50 workers during the day shift whose average output turned out to be 250 units with a standard deviation of 15 units and those of a sample of 40 workers from the night shift whose mean output was 240 units with a standard deviation of 10 units. At 1% significance level, do the sample results support the manager’s observation about the day shift productivity being higher than that of the night shift?

For day shift x̄1 = 250 s1 = 15 n1 = 50 For night shift x̄2 = 240…

Answered: A factory operates on 2 shifts a day, a…

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A factory operates on 2 shifts a day, a day shift and an afternoon to evening shift. While the production manager believes that the average output per worker is higher during the day shift than it is during the night, there are times that he cannot be certain as he has observed some night shift workers to be quite alert. He decides to find out by recording the output of a sample of 50 workers during the day shift whose average output turned out to be 250 units with a standard deviation of 15 units and those of a sample of 40 workers from the night shift whose mean output was 240 units with a standard deviation of 10 units. At 1% significance level, do the sample results support the manager’s observation about the day shift productivity being higher than that of the night shift?

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