A theorem that allows us to use the normal probability distribution to approximate the sampling distribution of the sample mean whenever the sample size is large (over 30) is the
A) approximation theorem
B) central normality theorem
C) central limit theorem
D) normal probability theorem
E) normal sampling theorem

Question

Quizplus · Accepted Answer

The central limit theorem states that the sampling distribution of the sample mean will approach a normal distribution as the sample size increases, regardless of the shape of the population distribution. This allows us to use the normal probability distribution to approximate the sampling distribution of the sample mean for large sample sizes.

A Theorem That Allows Us to Use the Normal Probability