plumiHypothesis tests and chi-squared: OCR A‑Level Further Maths questions
Every OCR A-Level Further Maths exam question on FS.2 Hypothesis tests and chi-squared, 2018–2025, with its mark scheme and examiner’s report.
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All 15 questions on Hypothesis tests and chi-squared, as a list
- June 2025, Statistics, Q6 (9 marks): The editor of a mathematical journal investigated whether there was association between the types of articles published in the journal and the academic backgrou
- June 2025, AS Statistics, Q1 (7 marks): A six-sided dice may or may not be equally likely to land on any one of its faces. It has two faces numbered 5 and the other four faces are numbered 1, 2, 3 and
- June 2024, Statistics, Q5 (12 marks): Some bird-watchers study the song of chaffinches in a particular wood. They investigate whether the number, N, of separate bursts of song in a 5 minute period c
- June 2024, AS Statistics, Q2 (8 marks): For a random sample of 160 employees of a large company, the principal method of transport for getting to work, arranged according to grade of employee, is show
- June 2023, Statistics, Q8 (16 marks): A team of researchers have reason to believe that the number of calls received in randomly chosen 10-minute intervals to a call centre can be well modelled by a
- June 2023, AS Statistics, Q6 (12 marks): A machine is used to toss a coin repeatedly. Rosa believes that the outcome of each toss made by the machine is not independent of the previous toss. Rosa gets
- June 2022, Statistics, Q9 (10 marks): The head teacher of a school believes that, on average, pupil absences on the days Monday, Tuesday, Wednesday, Thursday and Friday are in the ratio 3 : 2 : 2 :
- June 2022, AS Statistics, Q4 (7 marks): A school pupil keeps a note of whether her journeys to school and from school are delayed. The results for a random sample of journeys are shown in the table. D
- November 2021, Statistics, Q6 (11 marks): A practice examination paper is taken by 500 candidates, and the organiser wishes to know what continuous distribution could be used to model the actual time, X
- November 2021, AS Statistics, Q6 (9 marks): A student believes that if you ask people to choose an integer between 1 and 10, not all integers are equally likely to be chosen. The student asks a random sam
- November 2020, Statistics, Q7 (10 marks): A biased spinner has five sides, numbered 1 to 5. Elmer spins the spinner repeatedly and counts the number of spins, X, up to and including the first time that
- November 2020, AS Statistics, Q5 (12 marks): At a cinema there are three film sessions each Saturday, “early”, “middle” and “late”. The numbers of the audience, in different age groups, at the three showin
- June 2019, Statistics, Q6 (10 marks): Yusha investigates the proportion of left-handed people living in two cities, A and B. He obtains data from random samples from the two cities. His results are
- June 2019, AS Statistics, Q7 (9 marks): In a standard model from genetic theory, the ratios of types a, b, c and d of a characteristic from a genetic cross are predicted to be 9:3:3:1. Andrei collects
- June 2018, AS Statistics, Q8 (9 marks): The table shows the results of a random sample drawn from a population which is thought to have the distribution U(20). Range 1 x 8 9 x 12 13 x 20 G G G G G G O
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