HW #2 solution

# HW #2 solution - STAT 420 Homework#2(10 points(due Friday...

This preview shows pages 1–4. Sign up to view the full content.

STAT 420 Spring 2007 Homework #2 (10 points) (due Friday, February 2, by 4:00 p.m.) From the textbook: 4.5 Prove the algebraic identity ( ) ( ) ( ) & & & & & = = = = = - + - = - J j n i j ij J j j J j n i ij Y Y Y Y n Y Y 1 1 2 1 2 1 1 2 ( ) ( ) & & & & = = = = - + - = - J j n i j j ij J j n i ij j j Y Y Y Y Y Y 1 1 2 1 1 2 = ( ) ( ) ( ) ( ) & & & & & & = = = = = = - + - - + - J j n i j J j n i j j ij J j n i j ij j j j Y Y Y Y Y Y Y Y 1 1 2 1 1 1 1 2 2 = ( ) ( ) ( ) ( ) & & & & & = = = = = - + - - + - J j j j J j n i j ij j J j n i j ij Y Y n Y Y Y Y Y Y j j 1 2 1 1 1 1 2 2 . Since ( ) & = - j n i j ij Y Y 1 = 0, j = 1, … , J , ( ) ( ) & & = = - - J j n i j ij j j Y Y Y Y 1 1 2 = 0, and ( ) ( ) ( ) & & & & & = = = = = - + - = - J j j j J j n i j ij J j n i ij Y Y n Y Y Y Y j j 1 2 1 1 2 1 1 2 . OR ( ) 2 1 1 1 1 2 1 1 2 2 1 1 2 2 2 Y Jn Y Y Y Y Y Y Y Y Y J j n i ij J j n i ij J j n i ij ij J j n i ij + - = ± ² ³ ´ µ + - = - & & & & & & & & = = = = = = = = = ( ) 2 1 1 2 2 1 1 2 2 Y Jn Y Y Jn Y Jn Y Y J j n i ij J j n i ij - = + - & & & & = = = = .

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

View Full Document
( ) 2 1 1 2 1 2 2 1 2 2 2 Y Jn Y n Y Y n Y Y Y Y n Y Y n J j j J j j J j j j J j j + - = & ± ² ³ ´ µ + - = - = = = = = ( )
4.6 The American Car Company is interested in the average number of cars coming off three assembly lines with obvious defects (determined by visual inspection). The number of defects per week for each of the assembly lines is recorded for several weeks. The data follow.

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

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

{[ snackBarMessage ]}

### Page1 / 8

HW #2 solution - STAT 420 Homework#2(10 points(due Friday...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online