6 The blood cholesterol levels, measured in suitable units, of a random sample of 11 women and a random sample of 12 men are shown below.

\begin{center}
\begin{tabular}{ l r r r r r r r r r r r r }
Women & 51 & 55 & 242 & 167 & 152 & 256 & 75 & 137 & 98 & 238 & 235 &  \\
Men & 311 & 262 & 170 & 302 & 175 & 320 & 220 & 260 & 72 & 351 & 86 & 333 \\
\end{tabular}
\end{center}

Carry out a Wilcoxon rank-sum test, at the $5 \%$ significance level, to test whether, on average, there is a difference in cholesterol levels between women and men.\\

If you use the following lined page to complete the answer(s) to any question(s), the question number(s) must be clearly shown.\\

\hfill \mbox{\textit{CAIE Further Paper 4 2021 Q6}}