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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All 17 questions on Statistical hypothesis testing, as a list
- 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
- 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
- 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
- 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
- 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
- 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
- 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.
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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 (
- 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
- 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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