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

Article

Bradley, James V.   (1973, ASQC)   New Mexico State University, Las Cruces, NM

Journal of Quality Technology    Vol. 5    No. 4
QICID: 5148    October 1973    pp. 171-177
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Article Abstract

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.

Keywords

Central Limit Theorem,Normal distribution,Sampling plans


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