Chapter 7.5, Problem 7P

(a)

To determine

The sample size needed to claim that the distribution of sample means $\overline{x}$ from random samples of that size is approximately normal, if we have distribution of x values that is more or less mound-shaped and somewhat symmetric.

(b)

To determine

To explain: If the original distribution of x values is known to be normal, do we need to make any restriction about sample size in order to claim that the distribution of sample means $\overline{x}$ taken from random samples of a given size is normal.