The Mean Annual Income for Adult Women in One City $\$ 28,520$

The mean annual income for adult women in one city is $\$ 28,520$ and the standard deviation of the incomes is $\$ 5,190$ . The distribution of incomes is skewed to the right. For samples of size 30 , which of the following statements best describes the sampling distribution of the mean?

A) Nothing can be said about the distribution of $\bar { x }$ .
B) The distribution of $\bar { x }$ is skewed to the right.
C) $\bar { x }$ is normally distributed.
D) $\bar { x }$ is approximately normally distributed.