420Hw09 - STAT 420 (10 points) (due Friday, November 2, by...

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STAT 420 Fall 2007 Homework #9 (10 points) (due Friday, November 2, by 4:00 p.m.) 1. Prove ( ) ( ) ( ) = = = = = - + - = - I i I i I i i n j i ij i i i n j ij y y y y n y y 1 1 2 1 2 1 1 2 . 2. A transportation analyst wishes to compare the “degree of support” for a new rapid transit system among the following three groups of people in the Madison, Wisconsin, area: group A, University of Wisconsin faculty; group B, downtown businessmen; and group C, state government personnel. A questionnaire was designed from which a “rapid transit support index” could be computed for each respondent. The questionnaire was given to randomly selected people from each group. The results follow. Rapid Transit Support Index Group A B C 66 59 70 65 76 84 45 53 62 72 78 50 57 49 61 53 72 80 Stating any assumptions you make, test for differences between the three populations represented by the three samples using the F test. Specify the null and the alternative hypotheses. Show the calculations leading to your conclusion in the form of an
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This note was uploaded on 04/29/2010 for the course STAT stat 420 taught by Professor Stepanov during the Spring '07 term at University of Illinois at Urbana–Champaign.

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420Hw09 - STAT 420 (10 points) (due Friday, November 2, by...

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