Suppose a Sample of N = 50 Items Is Selected $\mu$

Multiple Choice

Suppose a sample of n = 50 items is selected from a population of manufactured products and the weight, X, of each item is recorded.Prior experience has shown that the weight has a probabilitydistribution with $\mu$ = 6 ounces and $\sigma$ = 2.5 ounces.Which of the following is true about thesampling distribution of the sample mean if a sample of size 15 is selected?

A) The mean of the sampling distribution is 6 ounces.
B) The standard deviation of the sampling distribution is 2.5 ounces.
C) The shape of the sampling distribution is approximately normal.
D) All the above are correct.