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Formula for Final Exam (1)

# Formula for Final Exam (1) - Formula x x= n s= 2(x x 2 n 1...

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Formula n x x = - 1 ) ( 2 2 - - = - n x x s 100 × = - x s CV Mean= E(x) = = μ ) ( x P X Variance = = - 2 2 ) ( ) ( σ μ x p x µ = np σ 2 = np ( 1- p ) σ μ - = x z n x z σ μ - = - Z test P p-value > , don’t reject h α n s x t μ - = - T test p-value > , don’t reject α 0 H 1 1 1 b s b t β - = n z x for erval confidence σ μ 025 . : int % 95 ± - when σ is known. Stat test Z interval insert stats or data and you get the confidence interval n s t x for erval confidence 025 . : int % 95 ± - μ when σ is not given in the problem Stat test t interval insert stats or data n p p p p z ) 1 ( 0 0 0 - - = - stat test 1-prop Z test, For 95% confidence interval for P: use n p p z p ) 1 ( 025 . - - - - ± 1 Prop Z interval 2 2 / = E z n σ α ) 1 ( 2 2 / p p E z n - = α 2 2 2 1 S S F = + - - - = - - 2 1 2 2 1 2 1 1 1 ) ( ) ( n n s x x T p μ μ 2 ) 1 ( ) 1 ( 2 1 2 2 2 2 1 1 2 - + - + - = n n s n s n s p : int % 95 2 1 μ μ - for erval confidence for when 2 2 2 1 σ σ =

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+ ± - - - 2 2 1 2 025 . 2 1 ) ( n s n s t x x p p Df= (n 1 + n 2 -2)
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