Why is the Central Limit Theorem so important to the study of sampling distributions?
A)It allows us to disregard the size of the sample selected when the population is not normal.
B)It allows us to disregard the shape of the sampling distribution when the size of the population is large.
C)It allows us to disregard the size of the population we are sampling from.
D)It allows us to disregard the shape of the population when n is large.

Question

Quizplus · Accepted Answer

The Central Limit Theorem allows us to assume that the sampling distribution will be approximately normal as the sample size increases, regardless of the shape of the population. This is particularly important when studying large populations because it allows us to make probability statements about the population based on the sample.

Why Is the Central Limit Theorem So Important to the Study