What is the p-value for this hypothesis test?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question 4
Commute times in the U.S. are heavily skewed to the right. We select a random sample of 490
people from the 2000 U.S. Census who reported a non-zero commute time.
In this sample, the mean commute time is 28.3 minutes with a standard deviation of 18.7 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 4 Commute times in the U.S. are heavily skewed to the right. We select a random sample of 490 people from the 2000 U.S. Census who reported a non-zero commute time. In this sample, the mean commute time is 28.3 minutes with a standard deviation of 18.7 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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