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Estimation, confidence intervals and tests: OCR A‑Level Further Maths questions

Every OCR A-Level Further Maths exam question on FS.7 Estimation, confidence intervals and tests, 2018–2025, with its mark scheme and examiner’s report.

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648 questions

  1. Q3

    June 2025 · Statistics

    The whole paper ↗
    June 2025 Statistics, question 3: The length, in cm, of sand lizards when fully grown is a random variable which is known to have the distribution N(13.2, .3 42). Some scientists discover a colo
  2. Q3

    June 2024 · Statistics

    The whole paper ↗
    June 2024 Statistics, question 3: Research suggests that the mean reading age of a child about to start secondary school is 10.75. The reading ages, X years, of a random sample of 80 children wh
  3. Q5

    June 2023 · Statistics

    The whole paper ↗
    June 2023 Statistics, question 5: An historian has reason to believe that the average age at which men got married in the seventeenth century was higher in urban areas compared to rural areas. T
  4. Q7

    June 2023 · Statistics

    The whole paper ↗
    June 2023 Statistics, question 7: A club secretary collects data about the time, T minutes, needed to process the details of a new 2 member. The mean of T is denoted by n. The variance of T is d
  5. Q6

    June 2022 · Statistics

    The whole paper ↗
    June 2022 Statistics, question 6: The random variable X was assumed to have a normal distribution with mean n. Using a random sample of size 128, a significance test was carried out using the fo
  6. Q4

    November 2021 · Statistics

    The whole paper ↗
    November 2021 Statistics, question 4: A random sample of 160 observations of a random variable X is selected. The sample can be summarised as follows. x2 = n = 160 x = 2688 48 398 / / (a) Calculate
  7. Q1

    November 2020 · Statistics

    The whole paper ↗
    November 2020 Statistics, question 1: The continuous random variable X has the distribution N(n, 30). The mean of a random sample of 8 observations of X is 53.1. Determine a 95% confidence interval
  8. Q3

    November 2020 · Statistics

    The whole paper ↗
    November 2020 Statistics, question 3: Jo can use either of two different routes, A or B, for her journey to school. She believes that route A has shorter journey times. She measures how long her jou
  9. Q4

    June 2019 · Statistics

    The whole paper ↗
    June 2019 Statistics, question 4: The greatest weight W N that can be supported by a shelving bracket of traditional design is a normally distributed random variable with mean 500 and standard d
  10. Q8

    June 2019 · Statistics

    The whole paper ↗
    June 2019 Statistics, question 8: A university course was taught by two different professors. Students could choose whether to attend the lectures given by Professor Q or the lectures given by P
All 10 questions on Estimation, confidence intervals and tests, as a list
  1. June 2025, Statistics, Q3 (9 marks): The length, in cm, of sand lizards when fully grown is a random variable which is known to have the distribution N(13.2, .3 42). Some scientists discover a colo
  2. June 2024, Statistics, Q3 (11 marks): Research suggests that the mean reading age of a child about to start secondary school is 10.75. The reading ages, X years, of a random sample of 80 children wh
  3. June 2023, Statistics, Q5 (10 marks): An historian has reason to believe that the average age at which men got married in the seventeenth century was higher in urban areas compared to rural areas. T
  4. June 2023, Statistics, Q7 (10 marks): A club secretary collects data about the time, T minutes, needed to process the details of a new 2 member. The mean of T is denoted by n. The variance of T is d
  5. June 2022, Statistics, Q6 (7 marks): The random variable X was assumed to have a normal distribution with mean n. Using a random sample of size 128, a significance test was carried out using the fo
  6. November 2021, Statistics, Q4 (9 marks): A random sample of 160 observations of a random variable X is selected. The sample can be summarised as follows. x2 = n = 160 x = 2688 48 398 / / (a) Calculate
  7. November 2020, Statistics, Q1 (4 marks): The continuous random variable X has the distribution N(n, 30). The mean of a random sample of 8 observations of X is 53.1. Determine a 95% confidence interval
  8. November 2020, Statistics, Q3 (9 marks): Jo can use either of two different routes, A or B, for her journey to school. She believes that route A has shorter journey times. She measures how long her jou
  9. June 2019, Statistics, Q4 (9 marks): The greatest weight W N that can be supported by a shelving bracket of traditional design is a normally distributed random variable with mean 500 and standard d
  10. June 2019, Statistics, Q8 (10 marks): A university course was taught by two different professors. Students could choose whether to attend the lectures given by Professor Q or the lectures given by P

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