ISSN Print: 2381-1218  ISSN Online: 2381-1226
Computational and Applied Mathematics Journal  
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Sample Size and Its Role in Central Limit Theorem (CLT)
Computational and Applied Mathematics Journal
Vol.4 , No. 1, Publication Date: Feb. 27, 2018, Page: 1-7
839 Views Since February 27, 2018, 1151 Downloads Since Feb. 27, 2018
 
 
Authors
 
[1]    

Mohammad Rafiqul Islam, Department of Mathematics and Natural Sciences (MNS), BRAC University, Dhaka, Bangladesh.

 
Abstract
 

It is very important to determine the proper or accurate sample size in any field of research. Sometimes researchers cannot take the decision that how many number of individuals or objects will they select for their study purpose. Also, a set of survey data is used to verify that central limit theorem (CLT) for different sample sizes. From the data of 1348 students we got the average weight for our population of BRAC University students is 62.62 kg with standard deviation 11.79 kg. We observed that our sample means became better estimators of true population mean. In addition, the shape of the distribution became more Normal as the sample size increased. So it is concluded that our simulation results were consistent with central limit theorem.


Keywords
 

Sample Size, Inference, Precision, Confidence Interval (CI), Population and Sample


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