Doubling the size of the sample will
A) reduce the standard error of the mean to one-half its current value.
B) reduce the standard error of the mean to approximately 70% of its current value.
C) have no effect on the standard error of the mean.
D) double the standard error of the mean.

Question

Quizplus · Accepted Answer

The standard error of the mean is inversely proportional to the square root of the sample size. Thus, doubling the sample size will result in the square root of 2, or approximately 1.41, times reduction in the standard error of the mean. Therefore, the standard error of the mean will be reduced to approximately 70% of its current value.

Doubling the Size of the Sample Will