A researcher selects a sample of 64 participants from a population with a mean of 10 and a variance of 16.What is the standard error of the mean?
A) 10
B) 2.0
C) 0.5
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 square root of the sample size. Given a variance of 16, the standard deviation is the square root of 16, which is 4. The sample size is 64, so the SEM is 4 divided by the square root of 64, which equals 4/8 or 0.5.

A Researcher Selects a Sample of 64 Participants from a Population