Two researchers select a sample from a population with a mean of 12.4 and a standard deviation of 9.Researcher A selects a sample of 30 participants.Researcher B selects a sample of 40 participants.Which sample is associated with a smaller standard error?
A) Researcher A's, because the sample size was smaller.
B) Researcher B's, because the sample size was smaller.
C) Researcher A's, because the sample size was larger.
D) Researcher B's, because the sample size was larger.

Question

Quizplus · Accepted Answer

The standard error of the mean decreases as the sample size increases, so Researcher B's sample, being larger, would have a smaller standard error.

Two Researchers Select a Sample from a Population with a Mean