9 A national athletics coach suspects that, on average, 200-metre runners' indoor times exceed their outdoor times by more than 0.1 seconds. In order to test this, the coach randomly selects eight 200 -metre runners and records their indoor and outdoor times. The results, in seconds, are shown in the table.
| Runner | \(A\) | \(B\) | \(C\) | \(D\) | \(E\) | \(F\) | \(G\) | \(H\) |
| Indoor time | 21.5 | 21.8 | 20.9 | 21.2 | 21.4 | 21.4 | 21.2 | 21.0 |
| Outdoor time | 21.1 | 21.7 | 20.7 | 20.9 | 21.3 | 21.0 | 21.1 | 20.8 |
Stating suitable hypotheses and any necessary assumption that you make, test the coach's suspicion at the 2.5\% level of significance.