The following samples were selected by two researchers.Which is associated with a smaller standard error of the mean?
Researcher A: n = 18,$\mu$ = 8, $\sigma$= 2.4
Researcher B: n = 12,$\mu$ = 8, $\sigma$ = 2.4
A) Researcher A.
B) Researcher B.
C) They both have the same standard error.

Question

Quizplus · Accepted Answer

The standard error of the mean decreases as the sample size (n) increases. Researcher A has a larger sample size (n = 18) compared to Researcher B (n = 12), which leads to a smaller standard error for Researcher A.

The Following Samples Were Selected by Two Researchers μ\muμ = 8 σ\sigmaσ

The Following Samples Were Selected by Two Researchers $\mu$ = 8 $\sigma$