Stat 296 Fall 2007
Hypothesis Tests for a Difference in Means (Review Examples)
Example 1.
Suppose that the
Saskatchewan Department of Agriculture
wants to develop plants that have
an increased resistance to a particular disease.
Two treatments are proposed and a random sample of 6
plants produces the following data. (Higher numbers correspond to greater resistance.)
Treatment #1:
12
14
19
Treatment #2:
4
7
13
Suppose that
μ
1
denotes the true mean of plants receiving treatment #1 and that
μ
2
denotes the true mean
of plants receiving treatment #2. Consider testing the hypotheses
H
0
:
μ
1
=
μ
2
vs.
H
A
:
μ
1
> μ
2
at the
α
= 0
.
15 significance level.
(a)
Based on the twosample
t
test, is there significant evidence to reject
H
0
?
(b)
Based on the permutation test, is there significant evidence to reject
H
0
?
(c)
Based on the Wilcoxon ranksum test, is there significant evidence to reject
H
0
?
Suppose that further studies produce data as follows.
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 Spring '11
 ManWai's
 Statistics, Statistical tests, Type I and type II errors, Prime number

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