plumiHypothesis tests for the mean of a normal distribution: OCR A‑Level Maths questions
OCR A-Level Maths past-paper questions on 2.05.2 Hypothesis tests for the mean of a normal distribution, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 7 questions on Hypothesis tests for the mean of a normal distribution, as a list
- June 2025, Paper 2, Q14 (9 marks): The masses of stones on a certain beach are normally distributed with mean 0.36 kg and standard deviation 0.12 kg. (a) Find the probability that two stones chos
- June 2023, Paper 2, Q10 (8 marks): 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 part
- June 2022, Paper 2, Q11 (7 marks): In the past the masses of new-born babies in a certain country were normally distributed with mean 3300 g. Last year a publicity campaign was held to encourage
- November 2021, Paper 2, Q11 (12 marks): Zac is planning to write a report on the music preferences of the students at his college. There is a large number of students at the college. (a) State one rea
- November 2020, Paper 2, Q12 (6 marks): In the past, the time for Jeff’s journey to work had mean 45.7 minutes and standard deviation 5.6 minutes. This year he is trying a new route. In order to test
- June 2019, Paper 2, Q10 (7 marks): The level, in grams per millilitre, of a pollutant at different locations in a certain river is denoted by the random variable X, where X has the distribution N
- June 2018, Paper 2, Q10 (9 marks): A certain forest contains only trees of a particular species. Dipak wished to take a random sample of 5 trees from the forest. He numbered the trees from 1 to 7
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