Gestation Periods of Humans. For humans, gestation periods are normally distributed with a mean of 266 days and a standard deviation of 16 days.

a. Use the technology of your choice to simulate 2000 samples of nine human gestation periods each.

b. Find the sample mean of each of the 2000 samples.

c. Obtain the mean, the standard deviation, and a histogram of the 2000 sample means.

d. Theoretically, what are the mean, standard deviation, and distribution of all possible sample means for samples of size 9?

e. Compare your results from parts

(c) and (d).