Question
You wish to test the following claim (H 1 H1 ) at a significance level of = 0.001 =0.001 . For the context of this
You wish to test the following claim (H
1
H1
) at a significance level of
=
0.001
=0.001
. For the context of this problem,
d
=
2
1
d=2-1
where the first data set represents a pre-test and the second data set represents a post-test.
H
o
:
d
=
0
Ho:d=0
H
1
:
d
>
0
H1:d>0
You believe the population of difference in scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:
pre-test
55.1
61.4
55.3
48.8
55.6
56.9
52.6
56.4
51.6
58.7
48.2
54.4
------------------------------------------------------------------------------
post test
87.5
60.7
103.8
68.1
48.3
122.3
27.1
79.5
30.7
67.1
57.6
78.4
----------------------------------------------
What is the test statistic for this sample? (Report answer accurate to 2 decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to 4 decimal places.)
p-value =
The p-value is...
- less than (or equal to)
- greater than
This test statistic leads to a decision to...
- reject the null
- accept the null
- fail to reject the null
As such, the final conclusion is that...
- There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is greater than 0.
- There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is greater than 0.
- The sample data support the claim that the mean difference of post-test from pre-test is greater than 0.
- There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is greater than 0.
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