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

Question

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

Quizplus · Accepted Answer

The standard error of the sample mean is calculated as the population standard deviation ($σ$) divided by the square root of the sample size ($n$), which is $\frac{σ}{\sqrt{n}}$. Therefore, it is inversely proportional to the square root of the sample size ($\sqrt{n}$).

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