A sports scientist wanted to investigate whether playing high-tempo background music (>130 BPM) affects the number of repetitions completed during a bench press endurance task compared to low-tempo background music (<90 BPM). She conducted a repeated measures experiment using a sample of 11 trained athletes. Each athlete completed the bench press task to failure twice: once while listening to high-tempo music and once while listening to low-tempo music.
In a Wilcoxon Signed-Ranks test conducted on this data, one athlete completed the exact same number of repetitions under both conditions. Consequently, their data was discarded, leaving N=10N = 10N=10 active pairs. The calculated value of T T\,T was determined to be 9.
Use the table of critical values for the Wilcoxon Signed-Ranks test below to answer the question.
Table: Critical values of T T\,T for the Wilcoxon Signed-Ranks test
| NNN (number of active pairs) | Two-tailed level of significance: 0.05 | Two-tailed level of significance: 0.01 |
|---|---|---|
| 9 | 5 | 1 |
| 10 | 8 | 3 |
| 11 | 10 | 5 |
Note: For significance to be shown, the calculated value of T T\,T must be equal to or less than the table (critical) value.
Write the significance statement for the analysis carried out above at a 5% significance level (p≤0.05p \le 0.05p≤0.05), assuming a non-directional (two-tailed) hypothesis.
513 exam-style questions on OCR A Level Psychology Data recording, analysis and presentation. Each one has a worked solution and a mark scheme showing where the marks go.