For a population that is not normally distributed,the distribution of the sample means will ________.
A)be negatively skewed
B)approach a normal distribution
C)be positively skewed
D)take the same shape as the population

Question

Quizplus · Accepted Answer

The central limit theorem states that as the sample size increases, the distribution of the sample means will approach a normal distribution, regardless of the shape of the population distribution. Therefore, for a non-normal population, the distribution of the sample means will approach a normal distribution as the sample size increases.

For a Population That Is Not Normally Distributed,the Distribution of the Sample