A random sample of 12 second-year university students enrolled in a business statistics course wasdrawn. At the course's completion, each student was asked how many hours he or she spent doinghomework in statistics. The data are listed here. It is known that the population standard deviation is ? = 8.0. The instructor has recommended that students devote 3 hours per week for the duration ofthe 12-week semester, for a total of 36 hours. Test to determine whether there is evidence that the average student spent less than the recommended amount of time. Use a 5% significance level.
31 40 26 30 36 38 29 40 38 30 35 38
1. what are the hypotheses?
2. what is the rejection region?
3. what is the test statistic?
4. what is the p-value?
5. The conclusion of the hypothesis testing is: