# 420Hw09ans - STAT 420(10 points(due Friday November 2 by...

This preview shows pages 1–3. Sign up to view the full content.

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 . ( ) ( ) = = = = - + - = - I i n j i i ij I i n j ij i i y y y y y y 1 1 2 1 1 2 = ( ) ( ) ( ) ( ) = = = = = = - + - - + - I i n j i I i n j i i ij I i n j i ij i i i y y y y y y y y 1 1 2 1 1 1 1 2 2 = ( ) ( ) ( ) ( ) = = = = = = - + - - + - I i n j i I i n j i ij i I i n j i ij i i i y y y y y y y y 1 1 2 1 1 1 1 2 2 . Since ( ) = - i n j i ij y y 1 = 0, i = 1, … , I , ( ) ( ) = = - - I i n j i ij i i y y y y 1 1 2 = 0, and ( ) ( ) ( ) = = = = = = - + - = - I i n j i I i n j i ij I i n j ij i i i y y y y y y 1 1 2 1 1 2 1 1 2 .

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 7

420Hw09ans - STAT 420(10 points(due Friday November 2 by...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online