A researcher selects two samples of 64 participants each.In the first sample the population mean was 10 and the variance was 16.In this second sample,the population mean was 25 and the variance was 9.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 (SEM) is calculated as the square root of the variance divided by the sample size. For Sample 1, SEM = sqrt(16/64) = 0.5. For Sample 2, SEM = sqrt(9/64) = 0.375. Therefore, Sample 1 has a larger standard error of the mean.

A Researcher Selects Two Samples of 64 Participants Each