Question

1) A group of 41 college students from a certain liberal arts college were randomly sampled and asked about the number of alcoholic drinks they have in a typical week. The purpose of this study was to compare the drinking habits of the students at the college to the drinking habits of college students in general. In particular, the dean of students, who initiated this study, would like to check whether the mean number of alcoholic drinks that students at his college in a typical week differs from the mean of U.S. college students in general, which is estimated to be 4.73.

The group of 41 students in the study reported an average of 4.44 drinks per with a standard deviation of 3.55 drinks.

Find the p-value for the hypothesis test.

The p-value should be rounded to 4-decimal places.

2) Commute times in the U.S. are heavily skewed to the right. We select a random sample of 520 people from the 2000 U.S. Census who reported a non-zero commute time.

In this sample, the mean commute time is 28.1 minutes with a standard deviation of 19.2 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.)

3) Dean Halverson recently read that full-time college students study 20 hours each week. She decides to do a study at her university to see if there is evidence to show that this is not true at her university. A random sample of 34 students were asked to keep a diary of their activities over a period of several weeks. It was found that the average number of hours that the 34 students studied each week was 17.9 hours. The sample standard deviation of 4.6 hours.

Find the p-value.

The p-value should be rounded to 4-decimal places.

Answer 1