Question 565415: Clark Heter is an industrial engineer at Lyons Products. He would like to determine
whether there are more units produced on the night shift than on the day shift. Assume
the population standard deviation for the number of units produced on the day shift is
21 and is 28 on the night shift. A sample of 54 day-shift workers showed that the mean
number of units produced was 345. A sample of 60 night-shift workers showed that the
mean number of units produced was 351. At the .05 significance level, is the number of
units produced on the night shift larger?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Assume the population standard deviation for the number of units produced on the day shift is 21 and is 28 on the night shift.
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A sample of 54 day-shift workers showed that the mean number of units produced was 345.
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A sample of 60 night-shift workers showed that the mean number of units produced was 351.
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At the .05 significance level, is the number of units produced on the night shift larger?
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Ho: u(night) u(day) <= 0
Ha: u(night) u(day) > 0 (claim)
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I ran a 2-Sample Ztest and got the following:
test statistic: 1.3921
p-value = 0.0964
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Conclusion: Since the p-value is greater than 5%,
fail to reject Ho.
The test results do not support the claim.
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Cheers,
Stan H.
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