| Exam Board | OCR |
| Module | S4 (Statistics 4) |
| Year | 2015 |
| Session | June |
| Topic | Wilcoxon tests |
2 The manufacturer of a painkiller, designed to relieve headaches, claims that people taking the painkiller feel relief in at most 30 minutes, on average. A random sample of eight users of the painkiller recorded the times it took for them to feel relief from their headaches. These times, in minutes, were as follows:
$$\begin{array} { l l l l l l l l }
33 & 39 & 29 & 35 & 40 & 32 & 26 & 37
\end{array}$$
Use a Wilcoxon single-sample signed-rank test at the \(5 \%\) significance level to test the manufacturer's claim, stating a necessary assumption.