Suppose You Take a Sample of Size 4 from a Population

Multiple Choice

Suppose you take a sample of size 4 from a population with a mean of 70 and a standard deviation of 10.Based on such a sample,what are the mean and standard deviation of the sampling distribution of $\bar { x }$
?

A) $\mu _ { \bar { x } }$ = 70, $\sigma _ { \bar { x } }$ = 5
B) $\mu _ { \bar { x } }$ = 70, $\mu _ { \bar { x } }$ = 2.5
C) $\mu _ { \bar { x } }$ = 17.5, $\mu _ { \bar { x } }$ = 5
D) $\mu _ { \bar { x } }$ = 17.5, $\mu _ { \bar { x } }$ = 10
E) Cannot be determined unless the sample size is at least 30.