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Study Comm215 Formulas

Study Comm215 Formulas - Comm 215 Equation Sheet known x =...

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Comm 215 Equation Sheet We’ve helped over 60,000 students get better grades since 1999! Standard Deviation of Sample Mean x n σ σ = Confidence Interval for Mean ( σ known) n z x σ ± Z Score standardization x z μ σ = Z Test for the Mean of a Population ( σ known) o x z n μ σ = Confidence Interval for Mean ( σ known) n z x σ ± t test for the Mean of a Population ( σ unknown) o x t s n μ = with n – 1 degrees of freedom Large Sample Z Test for a Proportion n p p p p z o ) 1 ( 0 0 = ) Chi Square Test Statistic ( ) = ) ( ) ( 2 2 i i i n E n E n χ Expected Frequency for Two Way Table. total column of sum row of sum f e ) )( ( = Sum of Squares Error (SSE) 2 2 ( ) ( 1) j ij j j Y Y n s = ∑∑ Sum of Squares Total (SSTO) 2 2 ( ) ( ) ij ij ij T Y Y Y Y n = ∑∑ ∑∑ ∑∑ Sum of Squares Regression (SSR) $ 2 2 2 2 ( ) ( ) i i i i i i i x y x y n y y x x n = ∑ ∑ Coefficient of Determination 2 1 SSR SSE R SSTO SSTO = =
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