As the sample size increases,the standard error of the mean _____,other things being equal.
A)remains constant
B)fluctuates
C)increases
D)decreases

Question

Quizplus · Accepted Answer

The standard error of the mean is defined as the standard deviation of the sampling distribution of the mean. As the sample size increases, the sample mean approaches the population mean, and the sampling distribution becomes narrower. This means that the variation among sample means becomes smaller, resulting in a smaller standard deviation of the sampling distribution and a smaller standard error of the mean. Therefore, the standard error of the mean decreases as the sample size increases, other things being equal.

As the Sample Size Increases,the Standard Error of the Mean