Final Exam Formulas on Statistics Methods I | ST 301, Study notes of Data Analysis & Statistical Methods

Download Final Exam Formulas on Statistics Methods I | ST 301 and more Study notes Data Analysis & Statistical Methods in PDF only on Docsity! ST 301: Final Exam Name: P AC( ) = 1− P A( ) P A or B( ) = P A( ) + P B( ) P A and B( ) = P A( ) × P B( ) P A | B( ) = P A and B( ) / P B( ) µX = np σ X = np(1− p) µ p̂ = p σ p̂ = p(1− p) n µx = µ σ x = σ n µX = xi pi∑ µX = xf (x)dx∫ σ x 2 = (xi − µ) 2 pi∑ σ x2 = (x − µ)2∫ f (x)dx µa+bX = a + bµX σ a+bX 2 = b2σ X 2 µX+Y = µX + µY σ X+Y 2 = σ X 2 +σY 2 x ± z* σ n z = x − µ0σ n x = 1 n xi∑ s2 = (xi − x ) 2∑ n −1 z = X − µ σ r = xi − x sx ⎛ ⎝⎜ ⎞ ⎠⎟∑ yi − y sy ⎛ ⎝⎜ ⎞ ⎠⎟ n −1 b = r sy sx a = y − bx residual = y − ŷ P(X = k) = n! k!(n − k)! pk (1− p)n− k p̂ = X n x ± t* s n , df = n −1 d ± t* sd n , df = n −1 x1 − x2( ) ± t* s1 2 n1 + s2 2 n2 , df = min(n1,n2 ) −1 t = x − µ0 s n , df = n −1 t = x1 − x2 s1 2 n1 + s2 2 n2 , df = min(n1,n2 ) −1