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Unformatted text preview: a. The Sampling Distribution of ( Xbar ) i. In taking samples of size n from some population (the parent population ), it is possible to form a different value of ( Xbar ) with each sample. ii. The sampling distribution for ( Xbar ) is the probability distribution of all values ( Xbar ) can take on. 1. Each value of Xbar will have a probability associated with it. Example: Parent Population X1 = 1 X2 = 3 X3 = 3 X4 = 5 X5 = 5 µ = Sum(Xi/N) from i=1 to 5 = (17/5) = 3.4 Consider all samples of size 2: Observation Hypothetical Sample Actual Sample Sample Mean 1 X1, X2 1, 3 2 2 X1, X3 1, 3 2 3 X1, X4 1, 5 (X4 = 5) 3 4 X1, X5 1, 5 (a different 5 X5 = 5) 3 5 X2, X3 3, 3 3 6 X2, X4 3, 5 4 7 X2, X5 3, 5 4 8 X3, X4 3, 5 4 9 X3, X5 3, 5 4 10 X4, X5 5, 5 5 All observations have N = 2...
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This note was uploaded on 06/03/2009 for the course ECON 203 taught by Professor Casler during the Spring '09 term at Allegheny.
 Spring '09
 Casler

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