The shower time of a hotel guest has a mean of n = 11.4 min and a standard deviation of {7 = 2.0" min. In a survey, the hotel asked 34 guests how long their shower times were on the rst night of their stay. Let X be the average shower time of these guests. {a) Fill in the blanks: According to the central limit theorem, X is approximately distributed with mean and standard devia- tion . (b) Approximate PU? > 12]