According to the Central Limit Theorem, if is 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 of nevertheless approaches a normal distribution as sample size, n, increases.

Question

According to the Central Limit Theorem, if  is 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 of  nevertheless approaches a normal distribution as sample size, n, increases.

Quizplus · Accepted Answer

This is a statement of the Central Limit Theorem, which states that as sample size increases, the sampling distribution of the mean approaches a normal distribution regardless of the shape of the population distribution. Therefore, the statement is true.

According to the Central Limit Theorem, If Is the Mean