If the sample size is multiplied by 4, what happens to the standard deviation of the distribution of sample means?
A)The standard error is halved.
B)The standard error is decreased by a factor of 4.
C)The standard error is doubled.
D)The standard error is increased by a factor of 4.

Question

Quizplus · Accepted Answer

The standard error of the mean decreases as the sample size increases, specifically, it is inversely proportional to the square root of the sample size. Therefore, if the sample size is multiplied by 4, the standard error is divided by the square root of 4, which is 2, effectively halving the standard error.

If the Sample Size Is Multiplied by 4, What Happens