A theorem that allows us to use the normal probability distribution to approximate the sampling distribution of sample means and sample proportions whenever the sample size is large is known as the _______________.
A)Cluster sampling
B)Sampling error
C)Sampling distribution of the mean
D)Central Limit Theorem

Question

Quizplus · Accepted Answer

The Central Limit Theorem states that when the sample size is large enough (typically n ≥ 30), the sampling distribution of the mean of a random sample from any population will be approximately normal, regardless of the shape of the population distribution. This theorem is used to approximate probabilities for sample means and proportions using the normal distribution. Therefore, the correct answer is D.

A Theorem That Allows Us to Use the Normal Probability