If all possible samples of size n are drawn from an infinite population with a mean of $\mu$ and a standard deviation of $\text { ? }$
,then the standard error of the sample mean is inversely proportional to:
A) ?
B) $\sqrt { \mathrm { n } }$
C) ?
D) n.

Question

If all possible samples of size n are drawn from an infinite population with a mean of $\mu$ and a standard deviation of $\text { ? }$
 ,then the standard error of the sample mean is inversely proportional to:
A) ?
B) $\sqrt { \mathrm { n } }$
C) ?
D) n.

Quizplus · Accepted Answer

The formula for the standard error of the sample mean is $\frac{\sigma}{\sqrt{n}}$, which shows that the standard error is inversely proportional to $\sqrt{n}$. Therefore, the correct choice is B, $\sqrt{n}$.

If All Possible Samples of Size N Are Drawn from an Infinite