form01 - FORMULA SHEET STA 2023 x x2 (n ) (x x)2 s= = n1 n1...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
STA 2023 FORMULA SHEET Spring, 2001 x = Σ x n s 2 = Σ( x - x ) 2 n - 1 = Σ x 2 - x ) 2 n n - 1 P ( A ) + P ( A c ) = 1 P ( A | B ) = P ( A B ) P ( B ) P ( A B ) = P ( A ) + P ( B ) - P ( A B ) P ( A B ) = P ( A ) P ( B | A ) = P ( B ) P ( A | B ) P ( A ) = P ( A B ) + P ( A B c ) μ = E ( x ) = Σ xp ( x ) σ 2 = E [( x - μ ) 2 ] = Σ( x - μ ) 2 p ( x ) = E ( x 2 ) - μ 2 = Σ x 2 p ( x ) - μ 2 For a binomial random variable: μ = np σ 2 = npq p ( x ) = n x ! p x q n - x where n x ! = n ! x !( n - x )! Population Standard Error Estimated or Hypothesized Parameter Estimator of Estimator Standard Error of Estimator μ x σ n s n p ˆ p = x n r pq n s ˆ p ˆ q n or r p o q o n μ 1 - μ 2 x 1 - x 2 s σ 2 1 n 1 + σ 2 2 n 2 s s 2 1 n 1 + s 2 2 n 2 or s s 2 p ± 1 n 1 + 1 n 2 ² where s 2 p = ( n 1 - 1) s 2 1 + ( n 2 - 1) s 2 2 n 1 + n 2 - 2 p 1 - p 2 ˆ p 1 - ˆ p 2 s
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online