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 population when n is large.
C) It allows us to disregard the shape of the sampling distribution when the size of the population is large.
D) It allows us to disregard the size of the population we are sampling from.

Question

Quizplus · Accepted Answer

The Central Limit Theorem is important to the study of sampling distributions because it allows us to disregard the shape of the population when n is large, which means that we can assume that the distribution of sample means will be approximately normal regardless of the underlying population distribution. This is extremely useful in statistical inference, as it allows us to make accurate predictions about a population based on a sample.

Why Is the Central Limit Theorem So Important to the Study