**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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- Fall '08
- staff
- Normal Distribution, Variance, w/ n-1 d.f