Question 43 Commute times in the U.S. are heavily skewed to the right. We select a random sample of 510 people from the 2000 U.S. Census who reported a non-zero commute time. In this sample, the mean commute time is 28.0 minutes with a standard deviation of 19.1 minutes. Can we conclude from this data that the mean commute time in the U.S. is less than half an hour? Conduct a hypothesis test at the 5% level of significance. What is the p-value for this hypothesis test? (Your answer should be rounded to 4 decimal places.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Question 43
Commute times in the U.S. are heavily skewed to the right. We select a random sample of 510
people from the 2000 U.S. Census who reported a non-zero commute time.
In this sample, the mean commute time is 28.0 minutes with a standard deviation of 19.1 minutes. Can we conclude
from this data that the mean commute time in the U.S. is less than half an hour? Conduct a hypothesis test at the 5%
level of significance.
What is the p-value for this hypothesis test?
(Your answer should be rounded to 4 decimal places.)
Transcribed Image Text:Question 43 Commute times in the U.S. are heavily skewed to the right. We select a random sample of 510 people from the 2000 U.S. Census who reported a non-zero commute time. In this sample, the mean commute time is 28.0 minutes with a standard deviation of 19.1 minutes. Can we conclude from this data that the mean commute time in the U.S. is less than half an hour? Conduct a hypothesis test at the 5% level of significance. What is the p-value for this hypothesis test? (Your answer should be rounded to 4 decimal places.)
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