OCR H240/02 2023 June — Question 10

Exam BoardOCR
ModuleH240/02 (Pure Mathematics and Statistics)
Year2023
SessionJune
TopicHypothesis 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.