In: Statistics and Probability
You wish to test the following claim (H1H1) at a significance
level of α=0.10α=0.10. For the context of this problem,
d=x2−x1d=x2-x1 where the first data set represents a pre-test and
the second data set represents a post-test.
Ho:μd=0Ho:μd=0
H1:μd≠0H1:μd≠0
You believe the population of difference scores is normally
distributed, but you do not know the standard deviation. You obtain
the following sample of data:
pre-test | post-test |
---|---|
36.3 | -5.6 |
40.9 | 14.2 |
40.2 | -21.3 |
52.1 | 8.3 |
45.5 | 24.7 |
33.6 | 15.4 |
56.9 | 10.4 |
45.5 | -12.3 |
What is the critical value for this test? (Report answer accurate
to three decimal places.)
critical value = ±±
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
The test statistic is...
This test statistic leads to a decision to...
As such, the final conclusion is that...