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# The Central Limit Theorem - Term Paper Example

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The main aim of this paper “The Central Limit Theorem” is to give a brief introduction about an important topic of the Statistics, which is used in the analysis of Descriptive Statistics with the help of SPSS and also useful in conducting the statistical inference…
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## Extract of sample "The Central Limit Theorem"

Download file to see previous pages The central limit theorem tells us that when an infinite number of successive random samples have been taken from a big or small area of population, and it also states the distribution of sample “Means” which are calculated for each of the sample given and these distributions will become “approximately normally distributed” with mean “μ” and the shape of the population distribution (“Central Limit Theorem”). The central limit theorem is closely related to probability theory or we can say that in probability theory, central limit theorem plays a major role.The central limit theorem tells us that when an infinite number of successive random samples have been taken from a big or small area of population, and it also states the distribution of sample “Means” which are calculated for each of the sample given and these distributions will become “approximately normally distributed size (N) becomes larger, irrespective of the shape of the population distribution (“Central Limit Theorem”). The central limit theorem is closely related to probability theory or we can say that in probability theory, central limit theorem plays a major role.With the help of this paper, we will know that there are three major and different workings of the central limit theorem.1. Successive sampling from a population2. increasing sample size3. population distributionAll along with the concepts of standard deviation and the normal distribution, we generally know that the concept of central limit theorem is one of the backbones of statistics especially for the descriptive testing and hypothesis. CLT, Central Limit Theorem, is also that theorem which is widely spread and it is not a very easy thing to grasp in minutes, as it requires deep study and full understanding. In this paper, we have chosen to discuss the central limit theorem and tried to solve the related problems with the help of formulas and testing methods (Chen, Goldstein and Shao 128).Most of the students are highly interested in knowing how the means of samples are taken from the same population, which all have the same size and from the population, which vary about the population mean. All steps solving the problems using CLT are almost similar to the steps we use to use in solving the problems with the help of “The Normal Distribution" (Chen, Goldstein and Shao 134). ...Download file to see next pagesRead More
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