plumiStatistical hypothesis testing: OCR A‑Level Maths questions
Every OCR A-Level Maths exam question on S.5 Statistical hypothesis testing, 2018–2025, with its mark scheme and examiner’s report.
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All 23 questions on Statistical hypothesis testing, as a list
- June 2025, Paper 2, Q11 (8 marks): A train company claims that a particular daily service arrives on time on 95% of days. Riley suspects that the true percentage is less than 95%. Riley tests the
- 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 2025, AS Paper 1, Q12 (8 marks): A school contains 552 students. In the past the proportion of students who bought lunch at the 1. Following a change in the lunches provided in the canteen, the
- June 2024, Paper 2, Q10 (11 marks): Each month, the manager of a large store records the number, c, of customers who visit the store, and the amount, £h, spent on heating during that month. The ma
- June 2024, Paper 2, Q13 (5 marks): At an election last year, 20% of voters in Aytown voted for the Now Party. A researcher plans to test whether the proportion of voters in Aytown who support the
- June 2024, AS Paper 1, Q13 (10 marks): Some students at a large school are doing a survey about attitudes to school uniform. They want to give a questionnaire to a random sample of 50 students at the
- 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 2023, Paper 2, Q12 (4 marks): A student has an ordinary six-sided dice. The student suspects that it is biased against six, so that when it is thrown, it is less likely to show a six than if
- June 2023, AS Paper 1, Q11 (8 marks): Casey and Riley attend a large school. They are discussing the music preferences of the students at their school. Casey believes that the favourite band of 75%
- 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
- June 2022, Paper 2, Q12 (6 marks): A firm claims that no more than 2% of their packets of sugar are underweight. A market researcher believes that the actual proportion is greater than 2%. In ord
- June 2022, AS Paper 1, Q9 (10 marks): Last year, market research showed that 8% of adults living in a certain town used a particular local coffee shop. Following an advertising campaign, it was expe
- November 2021, Paper 2, Q10 (6 marks): A researcher plans to carry out a statistical investigation to test whether there is linear correlation between the time (T weeks) from conception to birth, and
- November 2021, AS Paper 1, Q12 (7 marks): 1). The probabilities ( 12 The variable X has the distribution B(50, 6 P X r ) for r = 0 to 50 are given = b n by the terms of the expansion of ( a ) for specif
- November 2020, Paper 2, Q10 (7 marks): Pierre is a chef. He claims that 90% of his customers are satisfied with his cooking. Yvette suspects that Pierre is over-confident about the level of satisfact
- 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
- November 2020, AS Paper 1, Q10 (8 marks): Some packets of a certain kind of biscuit contain a free gift. The manufacturer claims that the proportion of packets containing a free gift is 1 in 4. Marisa s
- 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 2019, Paper 2, Q11 (8 marks): A trainer was asked to give a lecture on population profiles in different Local Authorities (LAs) in the UK. Using data from the 2011 census, he created the fol
- June 2019, AS Paper 1, Q11 (8 marks): It is known that, under the standard treatment for a certain disease, 9.7% of patients with the disease experience side effects within one year. In a trial of a
- June 2018, Paper 2, Q9 (7 marks): Briony suspects that a particular 6-sided dice is biased in favour of 2. She plans to throw the dice 35 times and note the number of times that it shows a 2. Sh
- 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
- June 2018, AS Paper 1, Q12 (7 marks): It is known that 20% of plants of a certain type suffer from a fungal disease, when grown under normal conditions. Some plants of this type are grown using a ne
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