5 A test was carried out to compare the breaking strengths of two brands of elastic band, \(A\) and \(B\), of the same size. Random samples of 6 were selected from each brand and the breaking strengths were measured. The results, in suitable units and arranged in ascending order for each brand, are as follows.
| Brand \(A :\) | 5.6 | 8.7 | 9.2 | 10.7 | 11.2 | 12.6 |
| Brand \(B :\) | 10.1 | 11.6 | 12.0 | 12.2 | 12.9 | 13.5 |
- Give one advantage that a non-parametric test might have over a parametric test in this context.
- Carry out a suitable Wilcoxon test at the \(5 \%\) significance level of whether there is a difference between the average breaking strengths of the two brands.
- An extra elastic band of brand \(B\) was tested and found to have a breaking strength exceeding all of the other 12 bands. Determine whether this information alters the conclusion of your test.