Hypothesis tests and chi-squared: Edexcel A‑Level Further Maths questions
Every Edexcel 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 25 questions on Hypothesis tests and chi-squared, as a list
- June 2025, Further Statistics 1, Q3 (12 marks): A journalist uses a gender equality test on some randomly chosen films. She believes that whether or not a film passes the test is associated with the period in
- June 2025, Further Statistics 1, Q7 (14 marks): A software company develops computer programs. Its Lovelace program is found to glitch 7 times on average when it is run. The company makes some alterations to
- June 2025, AS Further Statistics 1, Q1 (10 marks): A researcher is investigating the relationship between a person’s age and their preferred method of shopping. A random sample of 300 people is taken and the res
- June 2025, AS Further Statistics 1, Q4 (7 marks): A 5‑question test is taken by 80 students. Each question was answered either correctly or incorrectly. Number of questions answered correctly 0 1 2 3 4 5 Observ
- June 2024, Further Statistics 1, Q2 (7 marks): The number of errors made by a secretary is modelled by a Poisson distribution with a mean of 2.4 per 100 words. A 100‑word piece of work completed by the secre
- June 2024, Further Statistics 1, Q3 (6 marks): Tisam took a survey of students’ favourite colours. The results are summarised in the table below. Colour Red Blue Green Yellow Black Total Year group 1–5 34 15
- June 2024, Further Statistics 1, Q5 (10 marks): Some of the components produced by a factory are defective. The management requires that no more than 3% of the components produced are defective. Niluki monito
- June 2024, AS Further Statistics 1, Q1 (6 marks): Sharma believes that each computer game he sells appeals equally to all age ranges. To investigate this, he takes a random sample of 100 people who play these g
- June 2024, AS Further Statistics 1, Q4 (15 marks): Robin shoots 8 arrows at a target each day for 100 days. The number of times he hits the target each day is summarised in the table below. Number of hits 0 1 2
- June 2023, Further Statistics 1, Q2 (11 marks): Telephone calls arrive at a call centre randomly, at an average rate of 1.7 per minute. After the call centre was closed for a week, in a random sample of 10 mi
- June 2023, Further Statistics 1, Q3 (15 marks): In a class experiment, each day for 170 days, a child is chosen at random and spins a large cardboard coin 5 times and the number of heads is recorded. The resu
- June 2023, AS Further Statistics 1, Q2 (6 marks): A bag contains a large number of balls, all of the same size and weight. The balls are coloured Red, Blue or Yellow. Jasmine asks each child in a group of 150 c
- June 2023, AS Further Statistics 1, Q4 (12 marks): Table 1 below shows the number of car breakdowns in the Snoreap district in each of 60 months. Number of car breakdowns 0 1 2 3 4 5 12 11 19 14 3 1 Frequency Ta
- June 2022, Further Statistics 1, Q1 (9 marks): A researcher is investigating the number of female cubs present in litters of size 4 He believes that the number of female cubs in a litter can be modelled by B
- June 2022, AS Further Statistics 1, Q1 (7 marks): Stuart is investigating a treatment for a disease that affects fruit trees. He has 400 fruit trees and applies the treatment to a random sample of these trees.
- June 2022, AS Further Statistics 1, Q3 (9 marks): In a game, a coin is spun 5 times and the number of heads obtained is recorded. Tao suggests playing the game 20 times and carrying out a chi‑squared test to in
- November 2021, Further Statistics 1, Q1 (7 marks): Kelly throws a tetrahedral die n times and records the number on which it lands for each throw. She calculates the expected frequency for each number to be 43 i
- November 2020, Further Statistics 1, Q5 (13 marks): A factory produces pins. An engineer selects 40 independent random samples of 6 pins produced at the factory and records the number of defective pins in each sa
- November 2020, AS Further Statistics 1, Q2 (15 marks): In an experiment, James flips a coin 3 times and records the number of heads. He carries out the experiment 100 times with his left hand and 100 times with his
- June 2019, Further Statistics 1, Q4 (19 marks): Liam and Simone are studying the distribution of oak trees in some woodland. They divided the woodland into 80 equal squares and recorded the number of oak tree
- June 2019, Further Statistics 1, Q5 (12 marks): Information was collected about accidents on the Seapron bypass. It was found that the number of accidents per month could be modelled by a Poisson distribution
- June 2019, AS Further Statistics 1, Q1 (6 marks): A leisure club offers a choice of one of three activities to its 150 members on a Tuesday evening. The manager believes that there may be an association between
- June 2019, AS Further Statistics 1, Q2 (7 marks): A spinner used for a game is designed to give scores with the following probabilities Score 1 2 3 4 6 Probability 3 10 1 10 1 10 2 5 1 10 The spinner is spun 80
- June 2018, AS Further Statistics 1, Q1 (10 marks): A researcher is investigating the distribution of orchids in a field. He believes that the Poisson distribution with a mean of 1.75 may be a good model for the
- June 2018, AS Further Statistics 1, Q4 (7 marks): Abram carried out a survey of two treatments for a plant fungus. The contingency table below shows the results of a survey of a random sample of 125 plants with
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