Central limit theorem in a skewed leptokurtic distribution

Nor Aishah Ahad

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Type :	Article
Subject :	Q Science
ISSN :	1985-7918
Main Author :	Nor Aishah Ahad
Additional Authors :	Che Rohani Yaacob Abdul Rahman Othman
Title :	Central limit theorem in a skewed leptokurtic distribution
Hits :	10

Place of Production :	Tanjong Malim
Publisher :	Fakulti Sains dan Matematik
Year of Publication :	2011
Notes :	Vol. 3 No. 1 (2011): Journal of Science and Mathematics
Corporate Name :	Perpustakaan Tuanku Bainun
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Abstract : Perpustakaan Tuanku Bainun

According to the central limit theorem, the distribution of the sample mean is approximately normal if the sample size, n, is sufficiently large, regardless of original data distribution. However there seems to be a difference in opinion on how large n should be. Some books said that n = 25 is sufficient enough while some considered n = 30 to be sufficient. This paper investigates the size of n that would allow us to apply the central limit theorem when samples taken are from a population. Keywords normal, central limit theorem

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