plumiHypothesis tests: Edexcel International A Level Maths questions
Every Edexcel International A Level Maths exam question on S2.4 Hypothesis tests, 2019–2025, with its mark scheme and examiner’s report.
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All 35 questions on Hypothesis tests, as a list
- June 2025, Statistics 2 (S2), Q2 (10 marks): On Friday evenings, a shop opens from 7 pm to 11 pm. During this time customers are known to enter the shop at a mean rate of 20 per hour. (a) State a suitable
- June 2025, Statistics 2 (S2), Q4 (9 marks): A bag contains a large number of beads of the same size and shape. The beads are either black or white. Black beads and white beads occur in the ratio 2 : 5 res
- June 2025, Statistics 2 (S2), Q7 (14 marks): When purchasing a pair of glasses from an optician, customers are offered insurance to cover accidental damage. Past records from the optician show that 30% of
- January 2025, Statistics 2 (S2), Q2 (11 marks): (i) Nima wants to investigate the distribution of a discrete random variable X The unknown mean of the distribution is µ Nima takes a sample and finds the sampl
- January 2025, Statistics 2 (S2), Q5 (10 marks): A meteor shower occurs for several weeks every summer. One Monday night during this meteor shower, Chris goes out to look for meteors and sees an average of 15
- October 2024, Statistics 2 (S2), Q3 (11 marks): During Monday afternoons, customers are known to enter a certain shop at a mean rate of 7 customers every 10 minutes. (a) Suggest a suitable distribution to mod
- October 2024, Statistics 2 (S2), Q6 (11 marks): Two boxes, A and B, each contain a large number of coins. In box A • there are only 1p coins and 2p coins • the ratio of 1p coins to 2p coins is 1 : 3 In box B
- June 2024, Statistics 2 (S2), Q1 (13 marks): 1 A garage sells tyres. The number of customers arriving at the garage to buy tyres in a 10‑minute period is modelled by a Poisson distribution with mean 2 (a)
- June 2024, Statistics 2 (S2), Q3 (15 marks): 3 Jian owns a large group of shops. She decides to visit a random sample of the shops to check if the stocktaking system is being used incorrectly. (a) Suggest
- June 2024, Statistics 2 (S2), Q4 (10 marks): 4 A bag contains 50 counters, each with one of the numbers 4, 7 or 10 written on it in the ratio 2 : 3 : 5 respectively. A random sample of 2 counters is taken
- January 2024, Statistics 2 (S2), Q3 (12 marks): Rowan believes that 35% of type A vacuum tubes shatter when exposed to alternating high and low temperatures. Rowan takes a random sample of 15 of these type A
- January 2024, Statistics 2 (S2), Q6 (9 marks): A bag contains a large number of counters with an odd number or an even number written on each. Odd and even numbered counters occur in the ratio 4 : 1 In a gam
- October 2023, Statistics 2 (S2), Q4 (10 marks): A manufacturer makes t‑shirts in 3 sizes, small, medium and large. 20% of the t‑shirts made by the manufacturer are small and sell for £10 30% of the t‑shirts m
- October 2023, Statistics 2 (S2), Q5 (16 marks): A supermarket receives complaints at a mean rate of 6 per week. (a) State one assumption necessary, in order for a Poisson distribution to be used to model the
- June 2023, Statistics 2 (S2), Q2 (4 marks): (a) State one characteristic of a population that would make a census a practical alternative to sampling. A leisure centre has 2500 members. It asks a sample o
- June 2023, Statistics 2 (S2), Q4 (13 marks): (a) Given n is large, state a condition for which the binomial distribution B(n, p) can be reasonably approximated by a Poisson distribution. A manufacturer pro
- January 2023, Statistics 2 (S2), Q1 (11 marks): A shop sells shoes at a mean rate of 4 pairs of shoes per hour on a weekday. (a) Suggest a suitable distribution for modelling the number of sales of pairs of s
- January 2023, Statistics 2 (S2), Q2 (11 marks): A bag contains a large number of coins. It only contains 20p and 50p coins. A random sample of 3 coins is taken from the bag. (a) List all the possible combinat
- January 2023, Statistics 2 (S2), Q3 (11 marks): Superbounce is a manufacturer of tennis balls. It knows from past records that 10% of its tennis balls fail a bounce test. (a) Find the probability that from a
- October 2022, Statistics 2 (S2), Q3 (10 marks): A company produces packets of sunflower seeds. Each packet contains 40 seeds. The company claims that, on average, only 35% of its sunflower seeds do not germin
- October 2022, Statistics 2 (S2), Q6 (9 marks): A bag contains a large number of counters with one of the numbers 5, 10 or 20 written on each of them in the ratio 5 : 2 : a A jar contains a large number of co
- June 2022, Statistics 2 (S2), Q4 (9 marks): Past evidence shows that 7% of pears grown by a farmer are unfit for sale. This season it is believed that the proportion of pears that are unfit for sale has d
- June 2022, Statistics 2 (S2), Q7 (12 marks): A bag contains 10 counters each with exactly one number written on it. There are 6 counters with the number 7 on them There are 3 counters with the number 8 on
- January 2022, Statistics 2 (S2), Q3 (9 marks): 3 A photocopier in a school is known to break down at random at a mean rate of 8 times per week. (a) Give a reason why a Poisson distribution could be used to m
- January 2022, Statistics 2 (S2), Q5 (14 marks): 5 Applicants for a pilot training programme with a passenger airline are screened for colour blindness. Past records show that the proportion of applicants iden
- January 2022, Statistics 2 (S2), Q6 (10 marks): 6 (a) Explain what you understand by the sampling distribution of a statistic. At Sam’s cafe a standard breakfast consists of 6 breakfast items. Customers can t
- October 2021, Statistics 2 (S2), Q1 (14 marks): A research project into food purchases found that 35% of people who buy eggs do not buy free range eggs. A random sample of 30 people who bought eggs is taken.
- October 2021, Statistics 2 (S2), Q5 (8 marks): A bag contains a large number of counters. 40% of the counters are numbered 1 35% of the counters are numbered 2 25% of the counters are numbered 3 In a game Al
- June 2021, Statistics 2 (S2), Q1 (14 marks): Spany sells seeds and claims that 5% of its pansy seeds do not germinate. A packet of pansy seeds contains 20 seeds. Each seed germinates independently of the o
- June 2021, Statistics 2 (S2), Q2 (15 marks): Luis makes and sells rugs. He knows that faults occur randomly in his rugs at a rate of 3 every 4 m2 (a) Find the probability of there being exactly 5 faults in
- June 2021, Statistics 2 (S2), Q4 (10 marks): A bag contains a large number of balls, each with one of the numbers 1, 2 or 5 written on it in the ratio 2 : 3 : 4 respectively. A random sample of 3 balls is
- January 2021, Statistics 2 (S2), Q1 (14 marks): Jim farms oysters in a particular lake. He knows from past experience that 5% of young oysters do not survive to be harvested. In a random sample of 30 young oy
- January 2021, Statistics 2 (S2), Q6 (10 marks): The owner of a very large youth club has designed a new method for allocating people to teams. Before introducing the method he decided to find out how the memb
- October 2020, Statistics 2 (S2), Q4 (16 marks): In a peat bog, Common Spotted-orchids occur at a mean rate of 4.5 per m2 (a) Give an assumption, not already stated, that is required for the number of Common S
- October 2020, Statistics 2 (S2), Q6 (11 marks): (a) Explain what you understand by the sampling distribution of a statistic. A factory produces beads in bags for craft shops. A small bag contains 40 beads, a
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