Hypothesis tests for the mean of a normal distribution: AQA A‑Level Maths questions
AQA A-Level Maths past-paper questions on O.2 Hypothesis tests for the mean of a normal distribution, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 8 questions on Hypothesis tests for the mean of a normal distribution, 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, 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 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 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.
- 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 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
- 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, 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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