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 A and Restaurant B both believe they provide the shortest wait time to get a table at their respective restaurants. To investigate their claims, Restaurant A plans to collect a random sample of 100 customer wait times whereas Restaurant B will gather 36. a) Which restaurant's sampling distribution of the sample mean will have smaller variability? Enter either A or B. b) Based on the 100 wait times that Restaurant A collects, the average wait time is 20 minutes. What is the z-score associated with this sample mean? c) For Restaurant B to have the same z-score as Restaurant A, the average wait time for their 36 observations needs to be