You wish to test the following claim (H1H1) at a significance level of α=0.05α=0.05. 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 wish to test the following claim (H1H1) at a significance level of α=0.05α=0.05. 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
| pre-test | post-test |
|---|---|
| 47.2 | -2.7 |
| 45.4 | 34.9 |
| 27.6 | 15.1 |
| 43.3 | 92.7 |
| 41.3 | -21.2 |
| 15.5 | 8.4 |
| 32.4 | 28.7 |
| 55.3 | 53.8 |
| 45.7 | 54.7 |
| 33.2 | 56.4 |
| 27.6 | 17.1 |
| 30.8 | 5.9 |
| 46.8 | 14.6 |
| 45.4 | 8.6 |
| 43 | 25.8 |
| 50 | 17 |
| 32 | 36.6 |
| 33.6 | -22.7 |
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
The p-value is...
- less than (or equal to) αα
- greater than αα
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 less than 0. - There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is less than 0.
- The sample data support the claim that the mean difference of post-test from pre-test is less than 0.
- There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is less than 0.
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