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?
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?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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
Transcribed Image Text: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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