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Unformatted text preview: CEE 304 Section #11 Handout (111704) Hypothesis Testing Examples: TwoSample Test vs. Paired Data Test 1. Sample Final Exam Question: Professor Stedingers TQM project team decided to investigate the claim that professor X really assigned more homework than professor Y. They randomly chose 8 students from each class (16 students all together) and had them record the length of time they spent on homework over two weeks. The data look like: Students with X Students with Y 22.8 13.0 15.9 12.9 13.7 11.9 15.7 14.9 23.1 14.1 15.5 19.7 19.1 9.1 9.4 15.4 _______ ________ Average: 16.90 13.88 St. Dev.: 4.61 3.07 a.) What are the appropriate null and alternative hypotheses? H o : X = Y H a : X > Y b.) What is the rejection region for a ttest with a type I error of 5%? Reject H o if T test t , Where 2 2 ( ) ( ) X Y test y x x y X Y T s s n n  = + And 2 2 2 2 2 2 4 4 4 4 2 2 2 2 4.61 3.07 8 8 12.2 12 4.61 3.07 8 8 8 1 8 1 1 1 y x x y y x y x x y s s n n s s n n n n + + = = = 2245 + + So, Reject H o if T test t 0.05,12 = 1.782 c.) What is the pvalue for this data? 2 2 (16.90 13.88) 0 1.542 4.61 3.07 8 8 test T = = + pvalue = Pr[t T test  ] = Pr[t 1.542  = 12] = 0.075 What do you conclude based on this data? pvalue = 0.075 > = 0.05 Fail to reject H o at the 5% level Or, T test = 1.542 < t 0.05,12 = 1.782 Fail to reject H o at the 5% level d.) If the true means are d....
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This note was uploaded on 02/02/2008 for the course CEE 3040 taught by Professor Stedinger during the Fall '08 term at Cornell University (Engineering School).
 Fall '08
 Stedinger

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