HW9 - Transformation X Given(σ x 2 μ x 2 2 X X n σ =...

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Homework 9 1) Text: 9.32, 9.34, 9.37, 9.42, 10.4 2) Fill in the blanks of the following table. The idea of the table is to summarize the different distributions of sample statistics. This is similar to the summary tables I’ve put together in the online slides, but don’t blindly copy those to fill this in. This is a good opportunity to review where the different pieces come from. Note that this table is useful for both confidence intervals and hypothesis testing. Sample Statistic Population Variance Expected Value Variance of Sample Statistic Distribution of Sample Statistic
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Unformatted text preview: Transformation X Given (σ x 2 ) μ x 2 2 X X n σ = Standard Normal (z) x x X z μ-= X Unknown, use sample variance (s x 2 ) t w/ n-1 d.f. x x X t-= ˆ p Unknown d , matched pairs 2 2 d d s n = t w/ n-1 d.f. d , independent samples Given (σ x 2 , σ y 2 ) x d X z-= d , independent samples 2 2 2 p p d x y s s n n = + 2 2 2 ( 1) ( 1) 2 x x y y p x y n s n s s n n-+-= +-d , independent samples t-dist with (*) d.f. * 2 2 2 2 2 2 2 . . 1 1 ( ) ) ( ) ( y x x y y x y x x y s s n n d f s s n n n n + = +--...
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This note was uploaded on 12/01/2010 for the course ECON 480 taught by Professor Staff during the Spring '08 term at Penn State.

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