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 any sized sample,it says the sampling distribution of the sample mean is approximately normal.

Question

Quizplus · Accepted Answer

The Central Limit Theorem states that for a large n (typically n>30), the sampling distribution of the sample mean is approximately normal, regardless of the shape of the population. This theorem is important in statistics because it allows us to make inferences about a population based on a sample mean, even if we don't know anything about the population's distribution.

The Central Limit Theorem Is Important in Statistics Because