Holding all else constant, as sample size increases, the value of the standard error of the mean ______.
A) increases
B) decreases
C) stays the same
D) explodes

Question

Holding all else constant, as sample size increases, the value of the standard error of the mean  ______.
A) increases 
B) decreases 
C) stays the same 
D) explodes

Quizplus · Accepted Answer

The standard error of the mean (SEM) is equal to the standard deviation (SD) divided by the square root of the sample size. As sample size increases, the denominator (square root of the sample size) increases, resulting in a smaller value for SEM. Therefore, as sample size increases, the value of SEM decreases.

Holding All Else Constant, as Sample Size Increases, the Value