Formulas for Test-2

Formulas for Test-2 - n n--+ For Tests: 1 2 1 1 1 p( p ) n...

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Some formulae you may need Parameter Estimator Estimate of SE(Estimator) Test Statistic and its distribution X μ X S / n 0 1 ( n ) X T ~ t S / n - - = 1 2 d = - (Dependent Samples) d X d = d S / n 0 1 d ( n ) d X T ~ t S / n - - = 1 2 - (Independent Samples) 2 2 1 2 σ 1 2 X X - 2 2 1 2 1 2 S S n n + 1 2 0 2 2 1 2 1 2 ( df ) ( X X ) T ~ t S S n n δ - - = + df = min of (n 1 –1), (n 2 –1) 1 2 - (Independent Samples) 2 2 1 2 = 1 2 X X - 1 2 1 1 pooled S n n × + 1 2 0 1 2 1 1 ( df ) pooled ( X X ) T ~ t S n n - - = × + df = (n 1 + n 2 –2) π ˆp For CI: 1 ˆ ˆ p( p ) n - , ˆ X p n = For tests: 0 0 1 ( ) n - 0 0 0 0 1 1 ˆp Z ~ N( , ) ( ) n - = - 1 2 - (Independent Samples) 1 2 ˆ ˆ p p - For CI: 1 1 2 2 1 2 1 1 ˆ ˆ ˆ ˆ p ( p ) p ( p )
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Unformatted text preview: n n--+ For Tests: 1 2 1 1 1 p( p ) n n -+ ( 29 1 2 1 2 0 1 1 1 1 p p Z ~ N( , ) p( p ) n n-= -+ 2 2 2 / 2 / 2 z z n n * (1 *) B B -...
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