Which of the following statements is not consistent with the Central Limit Theorem?
A) The Central Limit Theorem applies without regard to the size of the sample.
B) The Central Limit Theorem applies to non-normal distributions.
C) The Central Limit Theorem indicates that the sampling distribution will be approximately normal when the sample size is sufficiently large.
D) The Central Limit Theorem indicates that the mean of the sampling distribution will be equal to the population mean.

Question

Quizplus · Accepted Answer

The Central Limit Theorem (CLT) specifically states that the sampling distribution of the sample mean will be approximately normal if the sample size is sufficiently large, typically n ≥ 30. It does not apply "without regard to the size of the sample," making statement A incorrect. Statements B, C, and D correctly describe aspects of the CLT.

Which of the Following Statements Is Not Consistent with the Central