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
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.
Assembly Line
1
2
3
49
61
55
67
48
50
68
57
64
73
66
56
61
44
53
47
58
49
Given the observations above, test for differences in the mean number of visually
defective cars coming off the assembly lines using the
F
test.
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View Full Document4.9
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
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 Spring '08
 Stepanov
 Statistics, Normal Distribution, Standard Deviation, Variance, transit support index

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