C Consider Sampling from a Normal Population with a Population $\mu$

Essay

C Consider sampling from a normal population with a population mean $\mu$ and standard deviation $\sigma$ . As the sample size, $n$ , increases, some characteristics of the sampling distribution of the sample mean, $\bar { x }$ , may change. Which of the following characteristics will change as $n$ increases, and what is the nature of the change?
a) The mean of the sampling distribution of $\bar { x }$


b) The standard deviation of the sampling distribution of $\bar { x }$


c) The shape of the sampling distribution of $\bar { x }$