Let $x$ Represent the Number Which Shows Up When a Balanced Die

Multiple Choice

Let $x$ represent the number which shows up when a balanced die is rolled. Then $x$ is a random variable with a uniform distribution. Let $\bar { x }$ denote the mean of the numbers obtained when the die is rolled 32 times. For samples of size 32, which of the following statements concerning the sampling distribution of the mean is true?

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