Chapter 6, Problem 74LM

To determine

To generate: The 100 samples of size $n=2$ from a population characterized by a normal probability distribution with a mean of 100 and a standard deviation of 10.

To find: The $\overline{x}$ value for each sample.

To plot: The frequency distribution for the 100 values of $\overline{x}$.

To repeat: The above process for samples of $n=5,10,30\text{and }50$.

To explain: Whether the fact that the sampled population is normal affect the sampling distribution of $\overline{x}$ or not.