You wish to test the following claim (Ha) at a significance level of α=0.001. For the context of this problem, μd=μ2−μ1 where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0 Ha: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 61.2 38.6 59.2 51 53.8 35.1 59.2 -48.4 59.7 64 55.2 -12.5 70.5 77.8 54.5 49.7 60.2 24.3 62.3 23.5 56.5 58 49.5 20.2 63 2.4 59.1 20.3 59.1 -19.4 69.9 31.1 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) α greater than α This test statistic leads to a decision to... reject the null accept the null fail to reject the null
Quick note for SPSS users: To get SPSS to run the analysis in the correct “direction” from the Analyze > Compare Means > Paired-Samples T Test... protocol, please enter the after variable first, and the before variable second. (SPSS analyzes using first variable minus second variable.)
You wish to test the following claim (Ha) at a significance level of α=0.001. For the context of this problem, μd=μ2−μ1 where the first data set represents a pre-test and the second data set represents a post-test.
Ho:μd=0
Ha:μd<0
You believe the population of difference scores is
| pre-test | post-test |
|---|---|
| 61.2 | 38.6 |
| 59.2 | 51 |
| 53.8 | 35.1 |
| 59.2 | -48.4 |
| 59.7 | 64 |
| 55.2 | -12.5 |
| 70.5 | 77.8 |
| 54.5 | 49.7 |
| 60.2 | 24.3 |
| 62.3 | 23.5 |
| 56.5 | 58 |
| 49.5 | 20.2 |
| 63 | 2.4 |
| 59.1 | 20.3 |
| 59.1 | -19.4 |
| 69.9 | 31.1 |
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) α
- greater than α
This test statistic leads to a decision to...
- reject the null
- accept the null
- fail to reject the null
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