Given the same value for the standard deviation from two distributions but different sample sizes,
A) the smaller sample will more accurately predict the population mean.
B) the amount of standard error will be the same for both distributions.
C) the smaller sample will produce less standard error.
D) the larger sample will produce less standard error.

Question

Quizplus · Accepted Answer

The larger sample size will produce less standard error because as the sample size increases, the standard error decreases. This is due to the fact that with a larger sample size, the estimate of the population mean is more precise and therefore the standard error of the mean decreases.

Given the Same Value for the Standard Deviation from Two