plumiType I and Type II errors: AQA A‑Level Further Maths questions
Every AQA A-Level Further Maths exam question on SC Type I and Type II errors, 2019–2025, with its mark scheme and examiner’s report.
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All 15 questions on Type I and Type II errors, as a list
- June 2025, Paper 3 Statistics, Q3 (1 mark): Cosmo is carrying out a hypothesis test. He rejects the null hypothesis. State which of the following statements is correct. Tick () one box. [1 mark] He could
- June 2025, AS Paper 2 Statistics, Q7 (8 marks): Kristi set up a website for her new home business. The number of visitors per hour to the website is modelled using a Poisson distribution. During the first mon
- June 2024, Paper 3 Statistics, Q10 (7 marks): The length, X cm, of teeth for an extinct breed of shark is known to have a normal distribution. A random sample of 250 teeth has the following summary statisti
- June 2024, AS Paper 2 Statistics, Q7 (11 marks): Over a period of time, it has been shown that the mean number of customers entering a small store is 6 per hour. The store runs a promotion, selling many produc
- June 2023, Paper 3 Statistics, Q7 (11 marks): Company A uses a machine to produce toys. The number of toys in a week that do not pass Company A’s quality checks is modelled by a Poisson distribution X with
- June 2023, AS Paper 2 Statistics, Q4 (4 marks): The proportion, p, of people in a particular town who use the local supermarket is unknown. A random sample of 30 people in the town is taken and each person is
- June 2022, AS Paper 2 Statistics, Q6 (8 marks): The number of computers sold per day by a shop can be modelled by the random variable Y where Y × Po(42) 6 (a) State the variance of Y [1 mark] 6 (b) One month
- November 2021, Paper 3 Statistics, Q8 (13 marks): A company records the number of complaints, X, that it receives over 60 months. The summarised results are X x = 102 and X (x × x)2 = 103:25 8 (a) Using this da
- November 2021, AS Paper 2 Statistics, Q4 (6 marks): The distance a particular football player runs in a match is modelled by a normal distribution with standard deviation 0.3 kilometres. A random sample of n matc
- November 2020, Paper 3 Statistics, Q2 (1 mark): Jamie is conducting a hypothesis test on a random variable which has a normal distribution with standard deviation 1 The hypotheses are H0 : m = 5 H1 : m > 5 He
- November 2020, Paper 3 Statistics, Q5 (7 marks): Emily claims that the average number of runners per minute passing a shop during a long distance run is 8 Emily conducts a hypothesis test to investigate her cl
- November 2020, Paper 3 Statistics, Q7 (8 marks): The rainfall per day in February in a particular town has been recorded as having a mean of 1.8 inches. Sienna claims that rainfall in February has increased in
- November 2020, AS Paper 2 Statistics, Q8 (9 marks): There are two hospitals in a city. Over a period of time, the first hospital recorded an average of 20 births a day. Over the same period of time, the second ho
- June 2019, Paper 3 Statistics, Q2 (1 mark): Amy takes a sample of size 50 from a normal distribution with mean m and variance 16 She conducts a hypothesis test with hypotheses: H0 : m = 52 H1 : m > 52 She
- June 2019, AS Paper 2 Statistics, Q2 (1 mark): A binomial hypothesis test was carried out at the 5% level of significance with the hypotheses H0 : p = 0:6 H1 : p > 0:6 A sample of size 30 was used to carry o
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