The fact that the sampling distribution of sample means 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 we have tables of areas for the normal distribution
C)assumption that the population has a normal distribution
D)None of these alternatives is correct.

Question

Quizplus · Accepted Answer

The central limit theorem states that for a sufficiently large sample size, the sampling distribution of sample means will be approximately normal regardless of the shape of the population distribution. This is a key concept in statistical inference and allows us to make inferences about a population based on a sample. The other options are not accurate explanations for why the sampling distribution of sample means is approximately normal.

The Fact That the Sampling Distribution of Sample Means Can