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Chapter 6 Review 2008 Solution

# Chapter 6 Review 2008 Solution - CHAPTER 6 SAMPLING...

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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 µ and finite variance 2 σ , then n X Z / σ μ- = 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 = = μ • n X Var n X Var ) ( ) ( 2 = = σ • n σ 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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Chapter 6 Review 2008 Solution - CHAPTER 6 SAMPLING...

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