| Before | After | d = After - Before |
| 63 | 78 | 15 |
| 93 | 92 | -1 |
| 84 | 91 | 7 |
| 72 | 80 | 8 |
| 65 | 69 | 4 |
| 72 | 85 | 13 |
| 91 | 99 | 8 |
| 84 | 82 | -2 |
| 71 | 81 | 10 |
| 80 | 87 | 7 |
| | d-bar = | 6.9 |
| | s = | 5.4252496102 |
| Data: |
| n = n1 = n2 = | 10 |
| d-bar = | 6.9 |
| s (of d) = | 5.4252496102 |
| Hypotheses: |
| Ho: d-bar ≤ | 0 |
| Ha: d-bar > | 0 |
| Decision Rule: |
| α = | 0.01 |
| Degrees of freedom = | | 10 - 1 = | 9 |
| Critical t- score = | | 2.8214379214 |
| Reject Ho if t > | 2.8214379214 |
| Test Statistic: |
| SE = s/Ön = | 5.425249610233/√10 = | 1.7156145643 |
| t = d-bar/SE = | 6.9/1.7156145643277 = | 4.0218823875 |
| p- value = | 0.0015047595 |
| Decision (in terms of the hypotheses): |
| Since | 4.0218823875 | > | 2.8214379214 | we reject Ho and accept Ha |
| Conclusion (in terms of the problem): |
| There is sufficient evidence that the training program Is effective. |