The Central Limit Theorem States That

The central limit theorem states that

A) The sampling distribution of the mean of any random sample of observations will tend towards the normal distribution with mean equal to the population mean as the sample size tends to infinity
B) The sampling distribution of the mean of any random sample of observations will tend towards the normal distribution with mean equal to the population mean as the sample size tends to zero
C) The cumulative distribution function of the mean of any random sample of observations will tend towards the normal distribution with mean equal to the population mean as the sample size tends to infinity
D) The probability distribution function of the mean of any random sample of observations will tend towards the normal distribution with mean equal to the population mean as the sample size tends to infinity