If Selecting Samples of Size N $\mathrm { n } \leq 30$

Multiple Choice

If selecting samples of size n $\mathrm { n } \leq 30$ from a population with a known mean and standard deviation, what requirement, if any, must be satisfied in order to assume that the distribution of the sample means is a normal distribution?

A) The population must have a standard deviation of 1.
B) The population must have a normal distribution.
C) None; the distribution of sample means will be approximately normal.
D) The population must have a mean of 0.