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

Question

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

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. Therefore, while the sample mean may be close to the population mean, it is not always exactly equal to it.

The Central Limit Theorem States That the Sample Mean