Commute times in the U.S. are heavily skewed to the right. We select a random sample of 500 people from the 2000 U.S. Census who reported a non-zero commute time. In this sample the mean commute time is 27.6 minutes with a standard deviation of 19.6 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. Here is the t-test applet. Click here to open the applet.What can we conclude? Nothing. The distribution of the variable in the population is heavily skewed, so the conditions for use of a t-model are not met. We cannot trust that the p-value is accurate for this reason. With a mean of 27.6 minutes, the data supports the claim that the average commute time is less than 30 minutes, but the difference is not statistically significant. We fail to reject the null hypothesis that the mean commute time in the U.S. in the year 2000 was 30 minutes. With a mean of 27.6 minutes, the data supports the claim that the average commute time is significantly less than 30 minutes. We reject the null hypothesis that the mean commute time in the U.S. in the year 2000 was 30 minutes.

Commute times in the U.S. are heavily skewed to the right. We select a random sample of 500 people from the 2000 U.S. Census who reported a non-zero commute time. In this sample the mean commute time...

Commute times in the U.S. are heavily skewed to the right. We select a random sample of 500 people from the 2000 U.S. Census who reported a non-zero commute time. In this sample the mean commute time is 27.6 minutes with a standard deviation of 19.6 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. Here is the t-test applet. Click here to open the applet.

What can we conclude?

Nothing. The distribution of the variable in the population is heavily skewed, so the conditions for use of a t-model are not met. We cannot trust that the p-value is accurate for this reason.

With a mean of 27.6 minutes, the data supports the claim that the average commute time is less than 30 minutes, but the difference is not statistically significant. We fail to reject the null hypothesis that the mean commute time in the U.S. in the year 2000 was 30 minutes.

With a mean of 27.6 minutes, the data supports the claim that the average commute time is significantly less than 30 minutes. We reject the null hypothesis that the mean commute time in the U.S. in the year 2000 was 30 minutes.

Jun 09, 2022

SOLUTION.PDF

Commute times in the U.S. are heavily skewed to the right. We select a random sample of 500 people from the 2000 U.S. Census who reported a non-zero commute time. In this sample the mean commute time...

Get Answer To This Question

Related Questions & Answers

Submit New Assignment