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A Central Limit Effect for a Variety of Populations and the Influence of Population Moments

Summary: From each of two dozen populations varying widely in shape and skewness, empirical distributions of Z = (X-bar - ()/(N-1/2 were obtained for several sample sizes to investigate the approach of the sampling distribution of Z to a normal distribution. For many populations the approach to normality is very slow as N increases. Unequally long or unequally thick opposite tails appear to be the population features most deleterious to the Central Limit Effect.

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  • Topics: Sampling
  • Keywords: Central Limit Theorem,Normal distribution,Sampling plans
  • Author: Bradley, James V.
  • Journal: Journal of Quality Technology