Question

Which of the following statements is NOT true about the Central Limit Theorem?

a. If the population itself is normal, the sampling distribution of the mean will be exactly normal regardless of sample size.

b. The Central Limit Theorem is a factual statement about the distribution of means.

c. If the population is skewed, it may require a sample size of 30 or more before the means closely approximate a normal distribution.

d. The distribution of sample means is always a Uniform Distribution.

Answer 1

The distribution of sample means is approximately normal, not uniform.

Step-by-step explanation:

The Central Limit Theorem states that the distribution of sample means approaches a normal distribution as the sample size increases, even if the population distribution is not normal. The statement 'The distribution of sample means is always a Uniform Distribution' is NOT true about the Central Limit Theorem. In fact, the distribution of sample means is approximately normal, not uniform.