Abstract
From each of two dozen populations varying widely in shape and skewness, empirical distributions of Z = (X̄ - μ)/σN−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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James V. Bradley
Dr. Bradley is a Professor in the Psychology Department of New Mexico State University in Las Cruces.