Chapter Eight Homework Assignment
Due October 21, 2010
There are two parts: problems assigned from your text and example examination
problems. You are responsible for both parts. Of course, you are encouraged to use a
statistical computing package to perform the calculations.
8.4. In example 8.2, suppose the psychologist wanted to compare method 1 to method 2.
What is the advantage of using a
t
test having
2
W
s
in the denominator as opposed to using
the conventional pooled
t
test of Chapter 5, with
2
p
s
, the average of the sample variances
from method 1 and method 2 data?
8.5. For an experiment comparing
t
treatments with samples sizes
t
n
n
n
,
,
,
2
1
and
sample variances
2
2
2
2
1
,
,
,
t
s
s
s
, consider the following questions.
a. If the sample sizes satisfy
t
n
n
n
=
=
=
2
1
, show the
2
W
s
is the average of the
t
sample
variances
2
2
2
2
1
,
,
,
t
s
s
s
.
b. Does this hold if the sample sizes are not equal? If not, why not just use the average?
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