Question 967540: The mean travel time to work in minutes for all workers in the U.S. is 25.1 minutes. A company with offices in several states sampled 100 of its workers to find out their commute times. The sample mean was 23.9 minutes, and the population standard deviation is 6.39 minutes. At the 0.01 level of significance, can it be concluded that the mean commuting time is less for this company?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The mean travel time to work in minutes for all workers in the U.S. is 25.1 minutes. A company with offices in several states sampled 100 of its workers to find out their commute times. The sample mean was 23.9 minutes, and the population standard deviation is 6.39 minutes. At the 0.01 level of significance, can it be concluded that the mean commuting time is less for this company?
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Ho:: u >= 25.1
Ha:: u < 25.1 (clsim)
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t(23.9) = (23.9-25.1)/[6.39/sqrt(100)] = -0.1878
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p-value = P(t<-0.1878 when df = 99) = tcdf(-100,-0.1878,99) = 0.0317
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Conclusion:: Since the p-value is greater than 1%, fail to reject Ho.
The test results do not support the claim that the commuting time
is less for this company.
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Cheers,
Stan H.
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