As the size of the sample increases, what happens to the shape of the sampling means?
A) Cannot be predicted in advance
B) Approaches a normal distribution
C) Positively skewed
D) Negatively skewed

Question

Quizplus · Accepted Answer

As the size of the sample increases, the shape of the sampling means approaches a normal distribution. This is a result of the Central Limit Theorem, which states that as the sample size increases, the distribution of sample means from any population approaches a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

As the Size of the Sample Increases, What Happens to the Shape