What happens to the standard deviation of the sample mean, if we change the sample size from 25 to 100?
A)It is decreased by a factor of 4.
B)It is increased by a factor of 4.
C)It is decreased by a factor of 2.
D)It is decreased by a factor of 16.
E)None of the above.

Question

Quizplus · Accepted Answer

The standard deviation of the sample mean is inversely proportional to the square root of the sample size. When the sample size is increased from 25 to 100, the square root of the sample size increases from 5 to 10. Therefore, the standard deviation of the sample mean decreases by a factor of 2.

What Happens to the Standard Deviation of the Sample Mean