The average number of hours that a person works normally distributed with mean of 27 hours and standard deviation of 7 hours. (a) Suppose a sample of 1 6 people were selected, according to the Central Limit Theorem. what distribution of the sample mean hours x of 16 people. (b) Using the distribution you found in part a. determine the probability that the mean hours of the individuals worked in a week is less than 29 hours