For the Population of One Town, the Number of Siblings $\bar { x }$

Multiple Choice

For the population of one town, the number of siblings is a random variable whose relative frequency histogram has a reverse J-shape. Let $\bar { x }$ denote the mean number of siblings for a random sample of size 30. For samples of size 30, which of the following statements concerning the sampling distribution of the mean is true?

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