plumit-tests and tests on means: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 7.3 t-tests and tests on means, 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 12 questions on t-tests and tests on means, as a list
- June 2025, Further Statistics 2, Q3 (6 marks): A scientist investigated the effects of nitrogen-fixing bacteria on cereal crop yield, x kg ha –1 The data come from independent random samples from normal dist
- June 2025, Further Statistics 2, Q6 (17 marks): Xiang owns a takeaway restaurant and wants to employ a delivery company. Xiang uses two companies, A and B, for one week each and records the delivery rate, x m
- June 2024, Further Statistics 2, Q6 (12 marks): A researcher set up a trial to assess the effect that a food supplement has on the increase in weight of Herdwick lambs. The researcher randomly selected 8 sets
- June 2023, Further Statistics 1, Q5 (8 marks): A machine fills cartons with juice. The amount of juice in a carton is normally distributed with mean µ ml and standard deviation 8 ml. A manager wants to test
- June 2023, Further Statistics 2, Q2 (12 marks): Camilo grows two types of apple, green apples and red apples. The standard deviation of the weights of green apples is known to be 3.5 grams. A random sample of
- June 2023, Further Statistics 2, Q5 (9 marks): A psychologist claims to have developed a technique to improve a person’s memory. A random sample of 8 people are each given the same list of words to memorise
- June 2022, Further Statistics 1, Q7 (11 marks): A machine fills bags with flour. The weight of flour delivered by the machine into a bag, X grams, is normally distributed with mean μ grams and standard deviat
- June 2022, Further Statistics 2, Q2 (12 marks): A factory produces yellow tennis balls and white tennis balls. Independent samples, one of yellow tennis balls and one of white tennis balls, are taken. The tab
- June 2022, Further Statistics 2, Q4 (8 marks): A doctor believes that a four-week exercise programme can reduce the resting heart rate of her patients. She takes a random sample of 7 patients and records the
- November 2021, Further Statistics 2, Q2 (9 marks): A company produces two colours of candles, blue and white. The standard deviation of the burning times of the blue candles is 2.6 minutes and the standard devia
- June 2019, Further Statistics 2, Q5 (7 marks): 5 Alexa believes that students are equally likely to achieve the same percentage score on each of two tests, paper I and paper II. She randomly selects 8 studen
- June 2019, Further Statistics 2, Q6 (9 marks): 6 A company manufactures bolts. The diameter of the bolts follows a normal distribution with a mean diameter of 5 mm. Stan believes that the mean diameter of th
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