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Unformatted text preview: Name: ____________________________________________ 17 February 2010 IE330 Spring 2010 Test #1a KEY Closed book, closed notes, no calculators ( 29 ( 29 1 2 2 /2 /2, 1 /2 2 2 2, 1 1 2, 1 2 2 2 2 1 2 1 2 1 2 /2 1 2 /2, 1 2 /2, 1 2 1 2 Confidence interval formulae: 1 1 ˆ ˆ (1 ) ˆ , n n n n n s n s p p s x Z x t p z n n n s s x x Z x x t x x t n n n n α α α α α α α ν α σ χ χ σ σ +  ± ± ±  ± + ± + ± ( 29 ( 29 2 1 2 1 2 2 1 2 2 2 1 1 2 2 1 1 1 2, 1, 1 2, 1, 1 1 2 /2 2 2 2 2 1 2 1 1 ˆ ˆ ˆ ˆ 1 1 ˆ ˆ , n p n n n n S n n p p p p s s f f p p z s s n n α α α +  ± + ( 29 ( 29 2 2 1 2 2 2 2 1 2 1 2 * 1 2 1 2 2 2 1 2 1 2 1 2 Some potentially helpful test statistics: 1 1 / 1 1 D p n s x x X np x x Z T Z Z s np p n n n n x x D x x T T T S S n s s S n n n n μ μ χ σ σ σ σ ∆ = = = = = + ∆ ∆ ∆ = = = + + ( 29 ( 29 ( 29 2 2 1 1 2 2 2 1 2 2 1 2 1 2 2 1 2 1 1 2 ˆ ˆ 1 1 ˆ ˆ 1 p n S n S n n P P s Z F s P P n n + = + = =  + # # 2 2 1 2 Power and sample size equations d to obtain sample size or for 1sample test of mean d to obtain sample size or for 2sample test of mean, variance known d to obtain sample size or 2 δ β σ δ β σ σ δ σ = = + = # for 2sample test of mean, equal unknown variance* chart produces *chart produces * 2 1, where is the number of observations in each sample....
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This note was uploaded on 09/12/2011 for the course INDUSTRIAL 201 taught by Professor Jake during the Spring '11 term at Northeast Wisconsin Technical College.
 Spring '11
 Jake

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