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

Quizplus · Accepted Answer

The standard error of the sample mean is given by σ/√n, where σ is the standard deviation of the population and n is the sample size. Therefore, the standard error is inversely proportional to the square root of n (i.e. 1/√n), which is represented by option D.

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