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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?

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?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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using the sequential step of hypothesis testing

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?
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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