Central Limit Theorem

• The central limit theorem applies only to sample means; its tenets cannot be applied to any other statistic.
  
  
• The central limit theorem tells that what to expect of the distribution of sample means when we take an infinite number of relatively large samples of a given size from a population.
  
  
• The central limit theorem works no matter what how the population distribution is shaped.
  
  
• The central limit theorem helps us test hypotheses about means because it tells us what to expect when we draw samples from a population.