Further considerations
(r) In the pre-lab, if you had not had a prior belief as to whether the population mean would be larger or smaller than 8 hours, you would have found the two-sided p-value. Briefly describe how you could find that two-sided p-value and how it would differ from the p-value you found in this lab.
(s) Suppose I wanted to test whether the mean amount of sleep on a typical Sunday night for all Cal Poly students differed from 7 hours (rather than 8 hours). Explain how this would change the p-value and the standardized statistic (larger? smaller? stronger or weaker evidence against the new null hypothesis?)
(t) Do you think that 7 is a plausible value for the population mean number of hours? Briefly justify your answer statistically.
