A researcher selects two samples of 25 participants each.In the first sample,the population mean was 32 and the variance was 8.In the second sample,the population mean was 4 and the variance was 8.Which sample will be associated with a larger standard error of the mean?
A) Sample 1
B) Sample 2
C) None, both samples will have the same value for standard error.
D) There is not enough information to answer this question.

Question

Quizplus · Accepted Answer

The standard error of the mean is calculated as the square root of the variance divided by the sample size. Since both samples have the same variance and sample size, they will have the same standard error of the mean, regardless of the difference in their means.

A Researcher Selects Two Samples of 25 Participants Each