formula_sheet

# formula_sheet - Statistics 400 – Formula Sheet Sample...

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Unformatted text preview: Statistics 400 – Formula Sheet Sample Mean: n x x i ∑ = Sample Variance: 1 ) ( 2 2- ∑- = n x x s i 5-Number Summary: Minimum Q 1 Median Q 3 Maximum Interquartile Range: IQR=Q 3-Q 1 Probability: • For any event A , 1 ) ( ≤ ≤ A P • If S is the sample space, 1 ) ( = S P • Complement Rule: ) ( 1 ) ( A P A P- = • Addition Rule: ) ( ) ( ) ( ) ( B A P B P A P B A P ∩- + = ∪ • Multiplication Rule for Independent Events: ) ( ) ( ) and ( B P A P B A P = • Conditional Probability: ) ( ) and ( ) | ( B P B A P B A P = • If A and B are independent events, P(A|B)=P(A) Discrete Random Variables: ∑ = = ) ( ) ( i i x f x X E μ 2 2 2 2 )) ( ( ) ( ) ( ∑- = ∑- = μ μ σ i i i i x f x x f x Binomial Distribution: x n x p p x n x f-- = ) 1 ( ) ( for x = 0,1, 2, …, n npq np x = = x ; σ μ Recall, )! ( ! ! x n x n x n- = Z-Transformation: σ μ- = x Z Inference for the Population Mean: • Sample Size for a desired Margin of Error,...
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## This note was uploaded on 02/06/2012 for the course STAT 400 taught by Professor Derekbingham during the Fall '01 term at University of Michigan-Dearborn.

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formula_sheet - Statistics 400 – Formula Sheet Sample...

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