Class Meeting 15

Class Meeting 15 - CHEN 3010 Applied Data Analysis Class...

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1 CHEN 3010 Applied Data Analysis Class Meeting #15 Tuesday, Oct. 19 th Today's Topics Reading for Thursday: pages 185-191 Inferences on proportions binomial measurements hypothesis tests confidence intervals direct binomial approach vs normal approximation Homework #7 due Thursday Mid-Semester Course Evaluation – in lieu of Workshop
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2 Inferences on proportions binomial measurements Common setting: discrete product manufacturing Sampling with replacement or sampling without replacement, large population Product item subjected to pass/fail quality test Sample of n items tested, x items fail Fraction rejected: x n Assumption: ( ) X binomial n, p X ˆ P n = random variable that is an estimator for p ( ) p1 p ˆˆ P p Var P n Ε  = = 
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3 Two Approaches to Inferences use binomial distribution or use normal approximation to binomial Recall restrictions on normal approximation: 1n p n1 << ++ ( ) ( ) p1 p ˆ p3 P nn −− <<+ and 5 ) 1 ( , p n np The estimate P ˆ should fall within +/- 3 σ ’s of the true p
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This note was uploaded on 10/11/2011 for the course CHEN 3010 taught by Professor Kompala,dh during the Spring '08 term at Colorado.

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Class Meeting 15 - CHEN 3010 Applied Data Analysis Class...

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