If all possible samples of size n are drawn from an infinite population with a mean of $\mu$ and a standard deviation of $\sigma$,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 formula for standard error of the mean is SE = sigma/sqrt(n), where sigma 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 (choice D). Choices A and B are not correct because the mean and standard deviation of the population do not directly affect the standard error. Choice C is also not correct because the standard error does not depend solely on the sample size, but rather the square root of the sample size.

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