Question

Why is the central limit theorem so important to the study of sampling distributions group of answer choices?

Answer 1

Central limit Theorem:

The central limit theorem states that if you have a population with mean $\mu$ and standard deviation $\sigma$ and sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

The central limit theorem is known to be important to the study of sampling distributions because it enables us to disregard the shape of the population when the value of n is relatively large.