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Hypothesis tests for the mean of a normal distribution: OCR MEI A‑Level Maths questions

OCR MEI A-Level Maths past-paper questions on 5.2 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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  1. Q17

    June 2025 · Paper 2

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  2. Q13

    June 2023 · Paper 2

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  3. Q12

    June 2022 · Paper 2

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  4. Q11

    November 2021 · Paper 2

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All 7 questions on Hypothesis tests for the mean of a normal distribution, as a list
  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. June 2019, Paper 2, Q10 (16 marks): Club 65–80 Holidays fly jets between Liverpool and Magaluf. Over a long period of time records show that half of the flights from Liverpool to Magaluf take less
  7. 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

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