The Central Limit Theorem is important in statistics because
A) for a large n, it says the population is approximately normal.
B) for any population, it says the sampling distribution of the sample mean is approximately normal, regardless of the sample size.
C) for a large n, it says the sampling distribution of the sample mean is approximately normal, regardless of the shape of the population.
D) for a sample of any size, it says the sampling distribution of the sample mean is approximately normal.

Question

Quizplus · Accepted Answer

The Central Limit Theorem says that for a large n, the sampling distribution of the sample mean is approximately normal, regardless of the shape of the population. This is important because it allows us to use techniques that rely on the assumption of normality, even when we don't know the shape of the underlying population.

The Central Limit Theorem Is Important in Statistics Because