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.
| 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 |
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.
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