Which of the following options reflect the Central Limit Theorem?
A) A large set of sample means will be normally distributed and the means of the samples that make up this large set will approximate the mean of the population.
B) A small set of sample means will be normally distributed and the means of the samples that make up this small set will approximate the mean of the population.
C) A small set of sampling errors will be normally distributed and the means of the samples that make up this small set will approximate the variability of the population.
D) A large set of sampling errors will be normally distributed and the means of the samples that make up this small set will approximate the variability of the population.

Question

Quizplus · Accepted Answer

The Central Limit Theorem states that a large set of sample means will be normally distributed and the means of the samples that make up this large set will approximate the mean of the population. This means that as the sample size increases, the distribution of sample means will become more normal in shape, regardless of the distribution of the population from which they are drawn. Additionally, the mean of the sample means will be close to the true population mean.

Which of the Following Options Reflect the Central Limit Theorem