The Heights of Adult Women in the U $\bar { x }$

The heights of adult women in the U.S are normally distributed. Let $\bar { x }$ denote the mean height for a random sample of 4 women. For samples of size 4 , which of the following statements concerning the sampling distribution of the mean is true?

A) $\bar { x }$ has a uniform distribution.
B) $\bar { x }$ is normally distributed.
C) $\bar { x }$ is approximately normally distributed.
D) None of the above statements is true.