The Central Limit Theorem states that the sample mean, , is equal to the population mean, , provided that .

Question

The Central Limit Theorem states that the sample mean,  , is equal to the population mean,  , provided that  .

Quizplus · Accepted Answer

The Central Limit Theorem states that as the sample size increases, the distribution of sample means approaches a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size. It does not say that the sample mean is equal to the population mean for any sample size.

The Central Limit Theorem States That the Sample Mean