Commute times in the U.S. are heavily skewed to the right. We select Type numbers in a random sample of 500 people from the 2000 U.S. Census who the boxes. reported a non-zero commute time. 10 points In this sample, the mean commute time is 28.4 minutes with a standard deviation of 18.9 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.) Question 5 Dean Halverson recently read that full-time college students study Type numbers in 20 hours each week. She decides to do a study at her university to see the boxes. if there is evidence to show that this is not true at her university. A 10 points 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. Question 6 A medical researcher is studying the effects of a drug on blood Type numbers in pressure. Subjects in the study have their blood pressure taken at the the boxes. beginning of the study. After being on the medication for 4 weeks, 10 points their blood pressure is taken again. The change in blood pressure is recorded and used in doing the hypothesis test. Change: Final Blood Pressure - Initial Blood Pressure The researcher wants to know if there is evidence that the drug increases blood pressure. At the end of 4 weeks, 34 subjects in the study had an average change in blood pressure of 2.5 with a standard deviation of 5.1. Find the p-value for the hypothesis test. Your answer should be rounded to 4 decimal places. Question 7 Find the p-value for the hypothesis test. A random sample of size 54 Type numbers in is taken. The sample has a mean of 426 and a standard deviation of the boxes. 82. 10 points Ho: H = 400 Ha: H > 400 The p-value for the hypothesis test is Your answer should be rounded to 4 decimal places