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Unformatted text preview: CHAPTER 6 SAMPLING DISTRIBUTIONS SPRING 2008 STA 3032 Random Sample : If n elements are selected from a population in such a way that every set of n elements in the population has an equal probability of being selected, the selection of such a set n elements is said to be a random sample. The probability distribution of a statistic is called a sampling distribution. The standard error of a statistic is the standard deviation of its sampling distribution. Central Limit Theorem : If X is the mean of a sample size n taken from a population having finite mean and finite variance 2 , then n X Z /  = is a random variable whose distribution function approaches that of the standard normal distribution as n. As n gets larger (30 or more), the sampling distribution of the sample mean approaches the normal distribution, and ) ( ) ( X E X E = = n X Var n X Var ) ( ) ( 2 = = n is the standard error (standard deviation) of X Example: Studies have shown that the supercooling temperature of terrestrial frogs frozen at 6...
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This note was uploaded on 04/09/2008 for the course STA 3032 taught by Professor Sapkota during the Spring '08 term at University of Central Florida.
 Spring '08
 Sapkota
 Statistics, Probability

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