As the sample size increases,the variability of the sampling distribution of the mean ______________.
A)Increases
B)Stays the same
C)Is variable
D)Decreases

Question

Quizplus · Accepted Answer

As the sample size increases, the variability of the sampling distribution of the mean decreases. This is due to the central limit theorem, which states that as the sample size increases, the distribution of sample means approaches a normal distribution with a smaller standard deviation. Therefore, with a larger sample size, the sample mean is more likely to be closer to the true population mean, and there is less variability in the estimates of the sample mean.

As the Sample Size Increases,the Variability of the Sampling Distribution