As the sample size ______________ the variance of the sampling distribution of $\bar { x }$___________.
A)decreases,decreases
B)increases,remains the same
C)decreases,remains the same
D)increases,decreases
E)increases,increases

Question

Quizplus · Accepted Answer

As the sample size increases, the variance of the sampling distribution of the sample mean ($\bar{x}$) decreases due to the central limit theorem, which states that as the sample size becomes larger, the sampling distribution of the mean will become approximately normally distributed with a smaller variance.

As the Sample Size ______________ the Variance of the Sampling xˉ\bar { x }xˉ

As the Sample Size ______________ the Variance of the Sampling $\bar { x }$