As the size of the sample increases, what happens to the shape of the distribution of sample 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 distribution of sample means tends to approach a normal distribution. This is known as the Central Limit Theorem, which states that if samples of a particular size are drawn repeatedly from any population with a finite mean and standard deviation, then the distribution of sample means will become approximately normal, regardless of the shape of the original population. Therefore, option B is the correct answer.

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