Use a statistical software package to generate 150 random samples of size n = 5 from a population characterized by a normal probability distribution with a mean of 75 and a standard deviation of 8. Compute x for each sample, and plot a frequency distribution for the 150 values of x.

Repeat this process for n = 10, 25, 50, and 75. How does the fact that the sampled population is normal affect the sampling distribution of x?