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

Question

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

Quizplus · Accepted Answer

Researcher A has a larger sample size (n = 18) compared to Researcher B (n = 12), which will result in a smaller standard error of the mean. This is because a larger sample size reduces the variability and random error in the sample mean, making it a more accurate representation of the true population mean. Additionally, the values for the sample mean and standard deviation are the same in both samples, so the only difference between the two is the sample size.

The Following Samples Were Selected by Two Researchers