7.1 Exercise 22

Determine which of the following are true and which are false. Then, in complete sentences, justify your answers.

1. When the sample size is large, the mean of $\bar{X}$ is approximately equal to the mean of Χ.
2. When the sample size is large, $\bar{x}$ is approximately normally distributed.
3. When the sample size is large, the standard deviation of $\bar{x}$ is approximately the same as the standard deviation of Χ.