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# formulas - Test of Mean(s Hypotheses One Sample H 0 Ha Two...

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Test of Mean(s): One Sample Two Sample Hypotheses: H 0 : µ = µ 0 H a : µ > µ 0 µ < µ 0 µ ≠ µ 0 H 0 : µ 1 = µ 2 H a : µ 1 > µ 2 µ 1 < µ 2 µ 1 ≠ µ 2 IF you DO know σ: Test of Significance: 0 X z n μ σ - = ( 29 ( 29 1 2 1 2 2 2 1 2 1 2 X X z n n - - - = + Confidence Interval: * X z n ± ( 29 2 2 1 2 1 2 1 2 * X X z n n - ± + IF you do NOT know σ: Test of Significance: 0 X t s n - = ( 29 ( 29 1 2 1 2 2 2 1 2 1 2 X X t s s n n - - - = + Confidence Interval: * s X t n ± ( 29 2 2 1 2 1 2 1 2 * s s X X t n n - ± + Proportions: One Sample Two Sample Hypotheses: H 0 : p = p 0 H a : p > p 0 p < p 0 p ≠ p 0 H 0 : p 1 = p 2 H a : p 1 > p 2 p 1 < p 2 p 1 ≠ p 2 Test of Significance: ( 29 0 0 0 ˆ 1 p p z p p n - = - ( 29 ( 29 ( 29 1 2 1 2 1 2 ˆ ˆ 1 1 ˆ ˆ 1 p p p p z p p n n - - -
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