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=0.10. 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 |
---|---|
52.4 | 57.3 |
36.5 | 69 |
46.3 | 55.5 |
36.3 | 56 |
24.4 | 54.7 |
51.6 | 89.8 |
42.8 | 42.1 |
34 | 77.1 |
51.3 | 124.7 |
40.8 | 21.9 |
56.2 | 98 |
29.8 | 61.2 |
37.1 | 59.9 |
43.2 | 39 |
41 | 98.3 |
36.3 | 68.8 |
35 | 92.3 |
46.5 | 93.5 |
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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