The Central Limit Theorem states that The distribution of the population mean p will be about normal provided that the sample size n is sufficiently large If the sample size n is large, then z follows a standard normal distribution, provided that the population is normally distributed The sample mean X will always equal the population mean / when the sample size n is large enough_ As the sample size n gets larger and larger, the sampling distribution of the sample mean X is less concentrated around the central value The sampling distribution of the sample proportion p will be approximately normal provided that the population is normally distributed The sampling distribution of the sample mean x will be about normal provided that the sample size n is sufficiently large