| Exam Board | OCR |
| Module | H240/02 (Pure Mathematics and Statistics) |
| Year | 2023 |
| Session | June |
| Topic | Hypothesis test of a normal distribution |
10 The mass, in kilograms, of a species of fish in the UK has population mean 4.2 and standard deviation 0.25.
An environmentalist believes that the fish in a particular river are smaller, on average, than those in other rivers in the UK.
A random sample of 100 fish of this species, taken from the river, has sample mean 4.16 kg .
Stating a necessary assumption, test at the \(5 \%\) significance level whether the environmentalist is correct.