The mean of the sample average $\bar { Y } , E ( \bar { Y } )$ is
A) $\frac { 1 } { n } \mu _ { Y }$
B) $\mu _ { Y }$
C) $\frac { \mu _ { Y } } { \sqrt { n } }$
D) $\frac { \sigma _ { Y } } { \mu _ { Y } }$ for n30 .

Question

The mean of the sample average $\bar { Y } , E ( \bar { Y } )$ is
A) $\frac { 1 } { n } \mu _ { Y }$
B) $\mu _ { Y }$
C) $\frac { \mu _ { Y } } { \sqrt { n } }$
D) $\frac { \sigma _ { Y } } { \mu _ { Y } }$ for  n>30 .

Quizplus · Accepted Answer

The mean of the sample average $\bar{Y}$ is equal to the population mean $\mu_Y$, according to the properties of the expected value of the sample mean.

The Mean of the Sample Average Yˉ,E(Yˉ)\bar { Y } , E ( \bar { Y } )Yˉ,E(Yˉ)

The Mean of the Sample Average $\bar { Y } , E ( \bar { Y } )$