Identify the Distribution of the Sample Mean $\bar { x }$

Multiple Choice

Identify the distribution of the sample mean. In particular, state whether the distribution of $\bar { x }$ is normal or approximatelynormal and give its mean and standard deviation.
-The weights of people in a certain population are normally distributed with a mean of 152 lb and a standard deviation of 22 lb. Determine the sampling distribution of the mean for samples of size 2.

A) Approximately normal, mean = 152 lb, standard deviation = 11 lb
B) Approximately normal, mean = 152 lb, standard deviation = 15.56 lb
C) Normal, mean = 152 lb, standard deviation = 22 lb
D) Normal, mean = 152 lb, standard deviation = 15.56 lb