Assume the distribution of the time spent waiting for a table at a restaurant is approximately normal with a mean of 23 minutes and a standard deviation of 8 minutes. Restaurant B collects a random sample of 36 wait times and finds the average wait time to be 19 minutes. 4 pts. a) Construct a 95% confidence interval for the average time spent waiting for a table at Restaurant B. 2 pts. b) Interpret the interval in context of the problem. 2 pts. c) The 95% confidence interval for Restaurant A's average wait time is (18.432, 21.568). Using the interval found in part a, can we be certain that Restaurant B's average wait time is shorter than Restaurant A's? Explain