A pediatrician has found that the heights of their patients follow a normal distribution with mean u = 40 inches and standard deviation o = 10.2 inches. Each day the doctor sees 15 patients, which can be considered a
representative sample of the doctor's patients Each of their heights is recorded and the mean is calculated
(a) Calculate the mean and standard deviation of the sampling distribution o for SRSs of size 12.
(b) Find the probability that the mean height is greater than 48 2 inches.