The fact that the sampling distribution of the sample mean can be approximated by a normal probability distribution whenever the sample size is large is based on the
A)central limit theorem
B)fact that there are tables of areas for the normal distribution
C)assumption that the population has a normal distribution
D)All of these answers are correct.

Question

Quizplus · Accepted Answer

The fact that the sampling distribution of the sample mean can be approximated by a normal probability distribution whenever the sample size is large is based on the central limit theorem, which states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution. The other choices are not directly related to this fact.

The Fact That the Sampling Distribution of the Sample Mean