Which of the following is a true statement about the Central Limit Theorem for sample means?
A)The Normal distribution is a good approximation to the sampling distribution.
B)If conditions are met, the mean of the sampling distribution is equal to the population mean.
C)The Central Limit Theorem helps us find probabilities for sample means when those means are based on a random sample from a population.
D)All of the following statements are true about the Central Limit Theorem for sample means.

Question

Quizplus · Accepted Answer

The Central Limit Theorem (CLT) states that the sampling distribution of the sample mean will be approximately normally distributed, regardless of the shape of the population distribution, provided the sample size is sufficiently large. This explains why choices A, B, and C are all correct aspects of the CLT. A) highlights the approximation to a normal distribution, B) states that the mean of the sampling distribution equals the population mean, and C) explains the CLT's utility in finding probabilities for sample means from random samples.

Which of the Following Is a True Statement About the Central