An educational psychologist wants to check claims that regular physical exercise improves academic achievement. To control for academic aptitude, pairs of college students with similar GPAs are randomly assigned to either a treatment group that attends daily exercise classes or a control group. At the end of the experiment, the following scores were reported for the six pairs of participants: GPAs
Pair number Physical Exercise No Physical exercise
1 4 3.75
2 2.67 2.74
3 3.65 3.42
4 2.11 1.67
5 3.21 3
6 3.6 3.25
7 2.8 2.65
1. Using t, test the null hypothesis at the .01 level of significance
2. Specify the p-value for this test result
3. If appropriate (because the test result is statistically significant), use Cohen’s d to estimate the effect size
4. How might this test result be reported in the literature?