2. The table below shows the number of students per member of staff and the student satisfaction scores for 7 universities.
| University | \(A\) | \(B\) | \(C\) | \(D\) | \(E\) | \(F\) | \(G\) |
| Number of | | students per | | member of staff |
| 14.2 | 13.1 | 13.3 | 11.7 | 10.5 | 15.9 | 10.8 |
| 4.1 | 4.2 | 3.8 | 4.0 | 3.9 | 4.3 | 3.7 |
- Calculate Spearman's rank correlation coefficient for these data.
- Stating your hypotheses clearly test, at the \(5 \%\) level of significance, whether or not there is evidence of a correlation between the number of students per member of staff and the student satisfaction score.