plumiHypothesis tests and chi-squared: OCR MEI A‑Level Further Maths questions
Every OCR MEI A-Level Further Maths exam question on FS.2 Hypothesis tests and chi-squared, 2018–2025, with its mark scheme and examiner’s report.
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All 21 questions on Hypothesis tests and chi-squared, as a list
- June 2025, Statistics Major, Q9 (13 marks): A consultant is modelling the number of trades per minute of a particular share in a stock exchange. The number of trades per minute in a random sample of 200 m
- June 2025, AS Statistics A, Q7 (15 marks): The manager of a Health Service Trust receives data from two hospitals, Hospital A and Hospital B, about the lengths of stays in hospital for patients with a pa
- June 2024, Statistics Major, Q9 (13 marks): A cyclist has 3 bicycles, a road bike, a gravel bike and an electric bike. She wishes to know if the bicycle which she is riding makes any difference to whether
- June 2024, Statistics Minor, Q4 (12 marks): A genetics researcher is investigating whether there is any association between natural hair colour and natural eye colour. A random sample of 800 adults is sel
- June 2024, AS Statistics A, Q3 (14 marks): A glassware factory produces a large number of ornaments each week. Just before they leave the factory, all the ornaments are checked and some may be found to b
- June 2023, Statistics Major, Q9 (10 marks): A cyclist who lives on an island suspects that car drivers with locally registered number plates allow more space when passing her than those with non-locally r
- June 2023, Statistics Minor, Q4 (13 marks): Eve lives in a narrow lane in the country. She wonders whether the number of vehicles passing her house per minute can be modelled by a Poisson distribution wit
- June 2023, AS Statistics A, Q6 (15 marks): An eight-sided dice has its faces numbered 1, 2, …, 8. (a) In this part of the question you should assume that the dice is fair. (i) State the probability that,
- June 2022, Statistics Major, Q10 (13 marks): A scientist is researching dietary fat intake and cholesterol level. A random sample of 60 people is selected and their dietary fat intakes and cholesterol leve
- June 2022, Statistics Minor, Q3 (15 marks): Jane wonders whether the number of wasps entering a wasp’s nest per 5 second interval can be modelled by a Poisson distribution with mean n. She counts the numb
- June 2022, AS Statistics A, Q5 (14 marks): A researcher is investigating whether there is any relationship between the overall performance of a student at GCSE and their grade in A Level Mathematics. The
- November 2021, Statistics Major, Q6 (14 marks): Cosmic rays passing through the upper atmosphere cause muons, and other types of particle, to be formed. Muons can be detected when they reach the surface of th
- November 2021, Statistics Minor, Q3 (13 marks): A student wants to know whether there is any association between age and whether or not people smoke. The student takes a sample of 120 adults and asks each of
- November 2021, AS Statistics A, Q7 (13 marks): A biologist is investigating migrating butterflies. Fig. 7.1 shows the numbers of migrating butterflies passing her location in 100 randomly chosen one-minute p
- November 2020, Statistics Major, Q9 (16 marks): A supermarket sells trays of peaches. Each tray contains 10 peaches. Often some of the peaches in a tray are rotten. The numbers of rotten peaches in a random s
- November 2020, Statistics Minor, Q3 (8 marks): In this question you must show detailed reasoning. In a survey into pet ownership, one of the questions was ‘Do you own either a cat or a dog (or both)?’. A tot
- November 2020, AS Statistics A, Q6 (12 marks): A researcher is investigating whether there is any relationship between whether a cyclist wears a helmet and the distance, x m, the cyclist is from the kerb (th
- June 2019, Statistics Major, Q5 (13 marks): In an investigation into the possible relationship between smoking and weight in adults in a particular country, a researcher selected a random sample of 500 ad
- June 2019, Statistics Minor, Q4 (17 marks): Zara uses a metal detector to search for coins on a beach. She wonders if the numbers of coins that she finds in an area of 10m2 can be modelled by a Poisson di
- June 2019, AS Statistics A, Q5 (13 marks): A researcher is investigating births of females and males in a particular species of animal which very often produces litters of 7 offspring. The table shows so
- June 2018, AS Statistics A, Q5 (13 marks): A random sample of workers for a large company were asked whether they are smokers, ex-smokers or have never smoked. The responses were classified by the type o
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