Chapter 8 - Chapter 8. Fundamental Sampling Distributions...

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Chapter 8. Fundamental Sampling Distributions and Data Descriptions 8.1 Random Sampling A population consists of the totality of the observations with which we are concerned. sample is a subset of a population. Let 12 ,, , n X XX be n independent random variables, each giving the same probability distribution () f x . We then define , n X to be a random sample of size of n from the population f x and write its joint probability distribution as 1 2 (, , , ) ()() nn fxx x fxfx fx = …"
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8.2 Some Important Statistics Any function of the random variables constituting a random sample is called a statistic . If 12 ,, , n X XX represent a random sample of size n , then the sample mean is defined by the statistic 1 n i i X X n = = If , n X represent a random sample of size n , then the sample variance is defined by the statistic 2 2 1 () 1 n i i X X S n = = The sample standard deviation, denoted by S, is the positive square root of the sample variance.
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8.3 Data displays and Graphical Methods
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This note was uploaded on 10/02/2011 for the course STAT 3011 taught by Professor Wang,zhan during the Spring '09 term at Minnesota.

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Chapter 8 - Chapter 8. Fundamental Sampling Distributions...

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