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Statistical hypothesis testing: OCR MEI A‑Level Maths questions

Every OCR MEI 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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560 questions

  1. June 2025 Paper 2, question 13: According to the Office for National Statistics, in 2022 the proportion of people in England and Wales aged 16 or over who were married or in a civil partnershi
  2. Q17

    June 2025 · Paper 2

    The whole paper ↗
    June 2025 Paper 2, question 17: In this question you must show detailed reasoning Jars of honey contain a nominal mass of 340 grams of honey. The jars are filled by an automated process so tha
  3. Q16

    June 2025 · AS Paper 2

    The whole paper ↗
    June 2025 AS Paper 2, question 16: According to government statistics, 6.45% of people in Britain are vegetarian. A researcher believes the percentage of people who are vegetarian in the village
  4. June 2024 Paper 2, question 11: A householder is investigating whether there is any relationship between his monthly cost of gas and his monthly cost of electricity, both measured in pounds (£
  5. June 2024 Paper 2, question 12: A survey conducted in 2021 showed that 10% of British adults were vegetarians. A dietitian believes that the proportion of British adults who are vegetarians ma
  6. Q12

    June 2024 · AS Paper 2

    The whole paper ↗
    June 2024 AS Paper 2, question 12: Data collected in the twentieth century showed that the probability of a randomly selected person having blue eyes was 0.08. A medical researcher believes that
  7. Q13

    June 2023 · Paper 2

    The whole paper ↗
    June 2023 Paper 2, question 13: A large supermarket chain advertises that the mean mass of apples of a certain variety on sale in their stores is 0.14 kg. Following a poor growing season, the
  8. Q13

    June 2023 · AS Paper 2

    The whole paper ↗
    June 2023 AS Paper 2, question 13: In a report published in October 2021 it is stated that 37% of adults in the United Kingdom never exercise or play sport. A researcher believes that the true pe
  9. Q12

    June 2022 · Paper 2

    The whole paper ↗
    June 2022 Paper 2, question 12: A retailer sells bags of flour which are advertised as containing 1.5 kg of flour. A trading standards officer is investigating whether there is enough flour in
  10. Q13

    June 2022 · Paper 2

    The whole paper ↗
    June 2022 Paper 2, question 13: Records from the 1950s showed that 35% of human babies were born without wisdom teeth. It is believed that as part of the evolutionary process more babies are n
  11. Q8

    June 2022 · AS Paper 2

    The whole paper ↗
    June 2022 AS Paper 2, question 8: In 2018 research showed that 81% of young adults in England had never donated blood. Following an advertising campaign in 2021, it is believed that the percenta
  12. Q11

    November 2021 · Paper 2

    The whole paper ↗
    November 2021 Paper 2, question 11: In 2010 the heights of adult women in the UK were found to have mean 161 6 cm . and variance n = 2 2 .1 96 cm . v = It is believed that the mean height of adult
  13. Q9

    November 2020 · Paper 2

    The whole paper ↗
    November 2020 Paper 2, question 9: A company supplies computers to businesses. In the past the company has found that computers are kept by businesses for a mean time of 5 years before being repl
  14. Q12

    November 2020 · Paper 2

    The whole paper ↗
    November 2020 Paper 2, question 12: In this question you must show detailed reasoning. A 5-sided spinner can give scores of 1, 2, 3, 4 or 5. After observing a large number of spins, Elaine models
  15. November 2020 Paper 2, question 13: The pre-release material contains information concerning median house prices, recycling rates and employment rates. Fig. 13.1 shows a scatter diagram of recycli
  16. Q4

    November 2020 · AS Paper 2

    The whole paper ↗
    November 2020 AS Paper 2, question 4: In a certain country it is known that 11% of people are left-handed. (a) Calculate the probability that, in a random sample of 98 people from this country, 5 or
  17. Q12

    June 2019 · Paper 2

    The whole paper ↗
    June 2019 Paper 2, question 12: The jaguar is a species of big cat native to South America. Records show that 6% of jaguars are born with black coats. Jaguars with black coats are known as bla
  18. Q8

    June 2019 · AS Paper 2

    The whole paper ↗
    June 2019 AS Paper 2, question 8: According to the latest research there are 19.8 million male drivers and 16.2 million female drivers on the roads in the UK. (a) A driver in the UK is selected
  19. Q13

    June 2018 · Paper 2

    The whole paper ↗
    June 2018 Paper 2, question 13: Each weekday Keira drives to work with her son Kaito. She always sets off at 8.00 a.m. She models her ^ h. journey time, x minutes, by the distribution X N 15 4
  20. Q9

    June 2018 · AS Paper 2

    The whole paper ↗
    June 2018 AS Paper 2, question 9: In this question you must show detailed reasoning. Research showed that in May 2017 62% of adults over 65 years of age in the UK used a certain online social me
All 20 questions on Statistical hypothesis testing, as a list
  1. June 2025, Paper 2, Q13 (9 marks): According to the Office for National Statistics, in 2022 the proportion of people in England and Wales aged 16 or over who were married or in a civil partnershi
  2. June 2025, Paper 2, Q17 (9 marks): In this question you must show detailed reasoning Jars of honey contain a nominal mass of 340 grams of honey. The jars are filled by an automated process so tha
  3. June 2025, AS Paper 2, Q16 (9 marks): According to government statistics, 6.45% of people in Britain are vegetarian. A researcher believes the percentage of people who are vegetarian in the village
  4. June 2024, Paper 2, Q11 (5 marks): A householder is investigating whether there is any relationship between his monthly cost of gas and his monthly cost of electricity, both measured in pounds (£
  5. June 2024, Paper 2, Q12 (7 marks): A survey conducted in 2021 showed that 10% of British adults were vegetarians. A dietitian believes that the proportion of British adults who are vegetarians ma
  6. June 2024, AS Paper 2, Q12 (6 marks): Data collected in the twentieth century showed that the probability of a randomly selected person having blue eyes was 0.08. A medical researcher believes that
  7. June 2023, Paper 2, Q13 (9 marks): A large supermarket chain advertises that the mean mass of apples of a certain variety on sale in their stores is 0.14 kg. Following a poor growing season, the
  8. June 2023, AS Paper 2, Q13 (6 marks): In a report published in October 2021 it is stated that 37% of adults in the United Kingdom never exercise or play sport. A researcher believes that the true pe
  9. June 2022, Paper 2, Q12 (8 marks): A retailer sells bags of flour which are advertised as containing 1.5 kg of flour. A trading standards officer is investigating whether there is enough flour in
  10. June 2022, Paper 2, Q13 (8 marks): Records from the 1950s showed that 35% of human babies were born without wisdom teeth. It is believed that as part of the evolutionary process more babies are n
  11. June 2022, AS Paper 2, Q8 (11 marks): In 2018 research showed that 81% of young adults in England had never donated blood. Following an advertising campaign in 2021, it is believed that the percenta
  12. November 2021, Paper 2, Q11 (8 marks): In 2010 the heights of adult women in the UK were found to have mean 161 6 cm . and variance n = 2 2 .1 96 cm . v = It is believed that the mean height of adult
  13. November 2020, Paper 2, Q9 (9 marks): A company supplies computers to businesses. In the past the company has found that computers are kept by businesses for a mean time of 5 years before being repl
  14. November 2020, Paper 2, Q12 (15 marks): In this question you must show detailed reasoning. A 5-sided spinner can give scores of 1, 2, 3, 4 or 5. After observing a large number of spins, Elaine models
  15. November 2020, Paper 2, Q13 (7 marks): The pre-release material contains information concerning median house prices, recycling rates and employment rates. Fig. 13.1 shows a scatter diagram of recycli
  16. November 2020, AS Paper 2, Q4 (4 marks): In a certain country it is known that 11% of people are left-handed. (a) Calculate the probability that, in a random sample of 98 people from this country, 5 or
  17. June 2019, Paper 2, Q12 (10 marks): The jaguar is a species of big cat native to South America. Records show that 6% of jaguars are born with black coats. Jaguars with black coats are known as bla
  18. June 2019, AS Paper 2, Q8 (10 marks): According to the latest research there are 19.8 million male drivers and 16.2 million female drivers on the roads in the UK. (a) A driver in the UK is selected
  19. June 2018, Paper 2, Q13 (10 marks): Each weekday Keira drives to work with her son Kaito. She always sets off at 8.00 a.m. She models her ^ h. journey time, x minutes, by the distribution X N 15 4
  20. June 2018, AS Paper 2, Q9 (7 marks): In this question you must show detailed reasoning. Research showed that in May 2017 62% of adults over 65 years of age in the UK used a certain online social me

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