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10. A law professor at the University of Utah is interested in how many hours her students spend studying for the Utah Bar exam upon graduation. She sends the survey to 83 graduates that the alumni association has contact information for. Of the 76 responses, the average amount of time spent studying for the Utah Bar exam is 276.5 hours. We will treat this as a SRS from a normally distributed population with standard deviation 0 = 30. a. Compute a 98% condence interval for the true average number of hours students spent studying for the Utah Bar exam. (5 pts) b. Do you trust the condence interval you computed in part a? (3 pts) i. No, because this was a convenience sample, not a SRS. ii. No, because the professor should have asked her current students how much they plan to study. iii. Yes, because 98% condence is very high. iv. Yes, because students who have already graduated have no reason to lie