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Statistical hypothesis testing: AQA A‑Level Maths questions

Every AQA A-Level Maths exam question on O Statistical hypothesis testing, 2018–2025, with its mark scheme and examiner’s report.

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426 questions

  1. Q18

    June 2025 · Paper 3

    The whole paper ↗
    June 2025 Paper 3, question 18: The cholesterol level, X, of an adult can be modelled by a normal distribution with mean 5.7 mmol/l and standard deviation 1.2 mmol/l. 18 (a) The lower quartile
  2. Q16

    June 2024 · Paper 3

    The whole paper ↗
    June 2024 Paper 3, question 16: A medical student believes that, in adults, there is a negative correlation between the amount of nicotine in their blood stream and their energy level. The stu
  3. Q17

    June 2024 · Paper 3

    The whole paper ↗
    June 2024 Paper 3, question 17: In 2019, the lengths of new-born babies at a clinic can be modelled by a normal distribution with mean 50 cm and standard deviation 4 cm. 17 (a) This normal dis
  4. Q19

    June 2024 · Paper 3

    The whole paper ↗
    June 2024 Paper 3, question 19: It is known that 80% of all diesel cars registered in 2017 had carbon monoxide (CO) emissions less than 0.3 g/km. Talat decides to investigate whether the propo
  5. Q14

    June 2023 · Paper 3

    The whole paper ↗
    June 2023 Paper 3, question 14: The mass of aluminium cans recycled each day in a city may be modelled by a normal distribution with mean 24 500 kg and standard deviation 5 200 kg. 14 (a) Stat
  6. Q17

    June 2023 · Paper 3

    The whole paper ↗
    June 2023 Paper 3, question 17: A council found that 70% of its new local businesses made a profit in their first year. The council introduced an incentive scheme for its residents to encourag
  7. Q17

    June 2022 · Paper 3

    The whole paper ↗
    June 2022 Paper 3, question 17: The number of working hours per week of employees in a company is modelled by a normal distribution with mean of 34 hours and a standard deviation of 4.5 hours.
  8. Q19

    June 2022 · Paper 3

    The whole paper ↗
    June 2022 Paper 3, question 19: A bank runs a campaign to promote Internet banking accounts to their customers. Before the campaign, 42% of their customers had an Internet banking account. One
  9. Q15

    November 2021 · Paper 3

    The whole paper ↗
    November 2021 Paper 3, question 15: A team game involves solving puzzles to escape from a room. Using data from the past, the mean time to solve the puzzles and escape from one of these rooms is 6
  10. Q17

    November 2021 · Paper 3

    The whole paper ↗
    November 2021 Paper 3, question 17: James is playing a mathematical game on his computer. The probability that he wins is 0.6 As part of an online tournament, James plays the game 10 times. Let Y
  11. Q14

    November 2020 · Paper 3

    The whole paper ↗
    November 2020 Paper 3, question 14: It is known that a hospital has a mean waiting time of 4 hours for its Accident and Emergency (A&E) patients. After some new initiatives were introduced, a rand
  12. Q16

    November 2020 · Paper 3

    The whole paper ↗
    November 2020 Paper 3, question 16: An educational expert found that the correlation coefficient between the hours of revision and the scores achieved by 25 students in their A-level exams was 0.3
  13. Q18

    November 2020 · Paper 3

    The whole paper ↗
    November 2020 Paper 3, question 18: Tiana is a quality controller in a clothes factory. She checks for four possible types of defects in shirts. Of the shirts with defects, the proportion of each
  14. Q15

    June 2019 · Paper 3

    The whole paper ↗
    June 2019 Paper 3, question 15: Jamal, a farmer, claims that the larger the rainfall, the greater the yield of wheat from his farm. He decides to investigate his claim, at the 5% level of sign
  15. June 2019 Paper 3, question 16: (a) The graph below shows the amount of salt, in grams, purchased per person per week in England between 2001–02 and 2014, based upon the Large Data Set. Salt (
  16. Q17

    June 2018 · Paper 3

    The whole paper ↗
    June 2018 Paper 3, question 17: Suzanne is a member of a sports club. For each sport she competes in, she wins half of the matches. 17 (a) After buying a new tennis racket Suzanne plays 10 mat
  17. Q18

    June 2018 · Paper 3

    The whole paper ↗
    June 2018 Paper 3, question 18: In a region of England, the government decides to use an advertising campaign to encourage people to eat more healthily. Before the campaign, the mean consumpti
All 17 questions on Statistical hypothesis testing, as a list
  1. June 2025, Paper 3, Q18 (10 marks): The cholesterol level, X, of an adult can be modelled by a normal distribution with mean 5.7 mmol/l and standard deviation 1.2 mmol/l. 18 (a) The lower quartile
  2. June 2024, Paper 3, Q16 (4 marks): A medical student believes that, in adults, there is a negative correlation between the amount of nicotine in their blood stream and their energy level. The stu
  3. June 2024, Paper 3, Q17 (14 marks): In 2019, the lengths of new-born babies at a clinic can be modelled by a normal distribution with mean 50 cm and standard deviation 4 cm. 17 (a) This normal dis
  4. June 2024, Paper 3, Q19 (9 marks): It is known that 80% of all diesel cars registered in 2017 had carbon monoxide (CO) emissions less than 0.3 g/km. Talat decides to investigate whether the propo
  5. June 2023, Paper 3, Q14 (10 marks): The mass of aluminium cans recycled each day in a city may be modelled by a normal distribution with mean 24 500 kg and standard deviation 5 200 kg. 14 (a) Stat
  6. June 2023, Paper 3, Q17 (6 marks): A council found that 70% of its new local businesses made a profit in their first year. The council introduced an incentive scheme for its residents to encourag
  7. June 2022, Paper 3, Q17 (6 marks): The number of working hours per week of employees in a company is modelled by a normal distribution with mean of 34 hours and a standard deviation of 4.5 hours.
  8. June 2022, Paper 3, Q19 (6 marks): A bank runs a campaign to promote Internet banking accounts to their customers. Before the campaign, 42% of their customers had an Internet banking account. One
  9. November 2021, Paper 3, Q15 (7 marks): A team game involves solving puzzles to escape from a room. Using data from the past, the mean time to solve the puzzles and escape from one of these rooms is 6
  10. November 2021, Paper 3, Q17 (11 marks): James is playing a mathematical game on his computer. The probability that he wins is 0.6 As part of an online tournament, James plays the game 10 times. Let Y
  11. November 2020, Paper 3, Q14 (7 marks): It is known that a hospital has a mean waiting time of 4 hours for its Accident and Emergency (A&E) patients. After some new initiatives were introduced, a rand
  12. November 2020, Paper 3, Q16 (4 marks): An educational expert found that the correlation coefficient between the hours of revision and the scores achieved by 25 students in their A-level exams was 0.3
  13. November 2020, Paper 3, Q18 (14 marks): Tiana is a quality controller in a clothes factory. She checks for four possible types of defects in shirts. Of the shirts with defects, the proportion of each
  14. June 2019, Paper 3, Q15 (3 marks): Jamal, a farmer, claims that the larger the rainfall, the greater the yield of wheat from his farm. He decides to investigate his claim, at the 5% level of sign
  15. June 2019, Paper 3, Q16 (10 marks): (a) The graph below shows the amount of salt, in grams, purchased per person per week in England between 2001–02 and 2014, based upon the Large Data Set. Salt (
  16. June 2018, Paper 3, Q17 (12 marks): Suzanne is a member of a sports club. For each sport she competes in, she wins half of the matches. 17 (a) After buying a new tennis racket Suzanne plays 10 mat
  17. June 2018, Paper 3, Q18 (8 marks): In a region of England, the government decides to use an advertising campaign to encourage people to eat more healthily. Before the campaign, the mean consumpti

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