Chapter 7.3, Problem 66E

According to the central limit theorem, for a relatively large sample size, the variable $\bar{x}$ is approximately normally distributed.

1. a. What rule of thumb is used for deciding whether the sample size is relatively large?
2. b. Roughly speaking, what property of the distribution of the variable under consideration determines how large the sample size must be for a normal distribution to provide an adequate approximation to the distribution of $\bar{x}$?