3. A newly promoted manager is present when an experienced manager interviews six candidates, \(A , B , C , D , E\) and \(F\) for a job. Both managers rank the candidates in order of preference, starting with the best candidate, giving the following lists:
$$\begin{array} { l l }
\text { Experienced Manager: } & B F A C E D
\text { New Manager: } & F C B D E A
\end{array}$$
- 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 positive correlation.
- Comment on whether the new manager needs training in the assessment of candidates at interview.
(1 mark)