| Exam Board | CAIE |
| Module | FP2 (Further Pure Mathematics 2) |
| Year | 2011 |
| Session | June |
| Topic | Hypothesis test of a normal distribution |
7 A greengrocer claims that his cabbages have a mean mass of more than 1.2 kg . In order to check his claim, he weighs 10 cabbages, chosen at random from his stock. The masses, in kg, are as follows.
$$\begin{array} { l l l l l l l l l l }
1.26 & 1.24 & 1.17 & 1.23 & 1.18 & 1.25 & 1.19 & 1.20 & 1.21 & 1.18
\end{array}$$
Stating any assumption that you make, test at the \(10 \%\) significance level whether the greengrocer's claim is supported by this evidence.