In: Math
Commute times in the U.S. are heavily skewed to the right. We select a random sample of 230 people from the 2000 U.S. Census who reported a non-zero commute time.
In this sample the mean commute time is 28.6 minutes with a standard deviation of 19.3 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