A researcher selects two samples of 64 participants each.In the first sample,the population mean was 10 and the variance was 16.In the 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 is directly proportional to the standard deviation of the population and inversely proportional to the square root of the sample size. Given that the variance of sample 1 is larger than that of sample 2, it follows that the standard deviation is also larger for sample 1. Therefore, with the same sample size, sample 1 will be associated with a larger standard error of the mean.

A Researcher Selects Two Samples of 64 Participants Each