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

WJEC 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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All 5 questions on Hypothesis tests for the mean of a normal distribution, as a list
  1. Summer 2025, Unit 4, Q4 (16 marks): 4. Collectable football cards come in packs. The masses, in grams, of the packs are normally distributed with mean 28.3 and standard deviation 0.3. (a) Calculat
  2. Summer 2024, Unit 4, Q4 (21 marks): 4. Jake works for a parcel delivery company. The masses, in kilograms, of parcels he delivers are normally distributed with mean 2.2 and standard deviation 0.3.
  3. Summer 2023, Unit 4, Q4 (15 marks): with mean μ and variance σ2. 0 4 A bakery produces large loaves with masses, in grams, that are normally distributed It is found that 11% of the large loaves we
  4. Summer 2022, Unit 4, Q4 (13 marks): 4 In a driving simulator, the stopping distances, in metres, for cars travelling at 20 mph and 30 mph can be modelled by normal distributions with means and sta
  5. Summer 2019, Unit 4, Q4 (12 marks): 4 A company produces kettlebells whose weights are normally distributed with mean 16 kg and standard deviation 0.08 kg. a) Find the probability that the weight

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