The following samples were selected by two researchers.Which is associated with a smaller standard error of the mean?
Researcher A: n = 36,$\mu$ = 12, $\sigma$= 9
Researcher B: n = 36,$\mu$ = 12, $\sigma$ = 6
A) Researcher A.
B) Researcher B.
C) They both have the same standard error.

Question

Quizplus · Accepted Answer

A smaller standard error of the mean is associated with a smaller standard deviation (σ) of the population. As researcher B has a smaller value of σ compared to researcher A, it is associated with a smaller standard error of the mean. Therefore, option B is the best choice.

The Following Samples Were Selected by Two Researchers μ\muμ = 12 σ\sigmaσ

The Following Samples Were Selected by Two Researchers $\mu$ = 12 $\sigma$