Which of the Following Correctly Describes the Central Limit Theorem

Multiple Choice

Which of the following correctly describes the central limit theorem with respect to ?

A) Ifis the mean of a simple random sample taken from a large population and if the N population values are not normally distributed, the sampling distribution ofnevertheless approaches a normal distribution as sample size, n increases.
B) Ifis the mean of a simple random sample taken from a large population and if the N population values are not normally distributed, the sampling distribution ofnevertheless approaches a normal distribution when n30 and also n < .05 N, because these values make the approximation near-perfect.
C) Ifis the mean of a simple random sample taken from a large population and if the N population values are normally distributed, the sampling distribution ofis also normally distributed, regardless of sample size, n.
D) Ifis the mean of a simple random sample taken from a large population and if the N population values are not normally distributed, the sampling distribution ofnevertheless approaches a normal distribution as sample size, n increases and Ifis the mean of a simple random sample taken from a large population and if the N population values are not normally distributed, the sampling distribution ofnevertheless approaches a normal distribution when n30 and also n < .05 N, because these values make the approximation near-perfect.
E) Ifis the mean of a simple random sample taken from a large population and if the N population values are not normally distributed, the sampling distribution ofnevertheless approaches a normal distribution when n30 and also n < .05 N, because these values make the approximation near-perfect and Ifis the mean of a simple random sample taken from a large population and if the N population values are normally distributed, the sampling distribution ofis also normally distributed, regardless of sample size, n.