According to the central limit theorem:
A)As the size of the sample increases, the theoretical sampling distribution based on that sample size will become more skewed.
B)As the size of the sample increases, its mean will become increasingly closer to the population mean.
C)As the size of the sample increases, its mean will become farther away from the population mean
D)None of these are correct.

Question

Quizplus · Accepted Answer

The central limit theorem states that as the sample size increases, the distribution of sample means will approach a normal distribution, regardless of the shape of the population distribution. Additionally, the mean of the sample means will be equal to the population mean. Therefore, choice B is correct. Choice A is incorrect because the central limit theorem actually suggests the opposite - as the sample size increases, the theoretical sampling distribution becomes less skewed. Choice C is also incorrect because the central limit theorem states that the mean of the sample means will become closer to the population mean as the sample size increases.

According to the Central Limit Theorem