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

Question

Quizplus · Accepted Answer

The Central Limit Theorem states that the sampling distribution of the sample mean will be approximately normal if the sample size is large enough, regardless of the shape of the population distribution. This is why option A is correct.

The Central Limit Theorem Is Important in Statistics Because _____