Examples for 08-25-2009 (part 3)

# Examples for - σ 2 respectively Given the n 1 = 6 observations of Y 1 65 68 67 66 71 68 and the n 2 = 8 observations of Y 2 68 70 67 71 70 72 73

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STAT 420 Examples for 08/25/2009 Fall 2009 ( 29 ( 29 2 1 1 2 1 2 2 2 2 1 1 2 pooled - + - + - = n n s n s n s To test H 0 : μ 1 μ 2 = δ 0 Assumptions: 1) Both populations are normal. 2) The population standard deviations are equal. Test Statistic: t = ( 29 2 1 pooled 0 2 1 1 1 δ n n s y y + - - . n 1 + n 2 – 2 degrees of freedom 1. Assume that the distributions of Y 1 and Y 2 are N ( μ 1 , σ 2 ) and N ( μ 2 ,

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Unformatted text preview: σ 2 ), respectively. Given the n 1 = 6 observations of Y 1 , 65, 68, 67, 66, 71, 68 and the n 2 = 8 observations of Y 2 , 68, 70, 67, 71, 70, 72, 73, 69 test H : μ 1 = μ 2 vs. H 1 : μ 1 ≠ μ 2 . Use a 5% level of significance. What can you say about the p-value of this test?...
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## This note was uploaded on 12/17/2010 for the course STAT 420 taught by Professor Stepanov during the Spring '08 term at University of Illinois, Urbana Champaign.

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Examples for - σ 2 respectively Given the n 1 = 6 observations of Y 1 65 68 67 66 71 68 and the n 2 = 8 observations of Y 2 68 70 67 71 70 72 73

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