plumiEstimation, confidence intervals and tests: Edexcel International A Level Further Maths questions
Every Edexcel International A Level Further Maths exam question on S3.3 Estimation, confidence intervals and tests, 2019–2025, with its mark scheme and examiner’s report.
Paper
All papers
Exam
All years
All 32 questions on Estimation, confidence intervals and tests, as a list
- June 2025, Statistics 3 (S3), Q4 (11 marks): A biologist claims that the mean weight of grey squirrels is 200 grams more than the mean weight of red squirrels. A research student believes that the mean wei
- June 2025, Statistics 3 (S3), Q6 (8 marks): A population has an unknown mean μ and an unknown variance σ 2 A random sample represented by X1 , X2 , … , X20 is taken from the population. (a) Explain why 1
- June 2025, Statistics 3 (S3), Q7 (11 marks): The random variable X is such that X ~ N (μ , σ 2) The mean of a random sample of n observations of X is denoted by X _ n Given that P (X _ n < 45.2) = 0.3446 a
- January 2025, Statistics 3 (S3), Q3 (12 marks): A biologist is investigating the weights of rabbits in two different regions, region A and region B The biologist collects random samples of 50 rabbits from reg
- January 2025, Statistics 3 (S3), Q4 (12 marks): The random variable X is normally distributed with unknown mean μ and known variance σ 2 A random sample of n observations of X produced a 99% confidence interv
- January 2025, Statistics 3 (S3), Q6 (9 marks): The random variable X has a continuous uniform distribution over the interval [2a + 3, 4a + 9] where a is a constant and a > –3 The mean of a random sample of s
- June 2024, Statistics 3 (S3), Q3 (12 marks): The volume of water in a bottle has a normal distribution with unknown mean, μ millilitres, and known standard deviation, σ millilitres. A random sample of 150
- June 2024, Statistics 3 (S3), Q5 (14 marks): A manager of a large company is investigating the time it takes the company’s employees to complete a task. The manager believes that the mean time for full-tim
- June 2024, Statistics 3 (S3), Q7 (8 marks): The continuous random variable D is uniformly distributed over the interval [x – 1, x + 5] where x is a constant. A random sample of n observations of D is take
- January 2024, Statistics 3 (S3), Q5 (9 marks): A professor claims that undergraduates studying History have a typing speed of more than 15 words per minute faster than undergraduates studying Maths. A sample
- January 2024, Statistics 3 (S3), Q6 (15 marks): A random sample of 8 three‑month-old golden retriever dogs is taken. The heights of the golden retrievers are recorded. Using this sample, a 95% confidence inte
- June 2023, Statistics 3 (S3), Q3 (9 marks): A random sample of 2 observations, X1 and X2 , is taken from a population with unknown mean μ and unknown variance σ 2 (a) Explain why 1 2 X X σ is not a statis
- June 2023, Statistics 3 (S3), Q5 (13 marks): The continuous random variable X is normally distributed with X ~ N( μ, 5 2) A random sample of 10 observations of X is taken and X– denotes the sample mean. (a
- June 2023, Statistics 3 (S3), Q6 (13 marks): Roxane, a scientist, carries out an investigation into the fat content of different brands of crisps. Roxane took random samples of different brands of crisps a
- January 2023, Statistics 3 (S3), Q1 (12 marks): 1 A machine fills bottles with mineral water. The machine is checked every day to ensure that it is working correctly. On a particular day a random sample of 10
- January 2023, Statistics 3 (S3), Q5 (10 marks): 5 Claire grows strawberries on her farm. She wants to compare two brands of fertiliser, brand A and brand B. She grows two sets of plants of the same variety of
- January 2023, Statistics 3 (S3), Q6 (10 marks): 6 A garden centre sells bags of stones and large bags of gravel. The weight, X kilograms, of stones in a bag can be modelled by a normal distribution with unkno
- June 2022, Statistics 3 (S3), Q2 (11 marks): An experiment is conducted to compare the heat retention of two brands of flasks, brand A and brand B. Both brands of flask have a capacity of 750 ml. In the ex
- June 2022, Statistics 3 (S3), Q3 (14 marks): The random variable X is normally distributed with unknown mean μ and known variance σ2 A random sample of 25 observations of X produced a 95% confidence interv
- June 2022, Statistics 3 (S3), Q4 (10 marks): Navtej travels to work by train. A train leaves the station every 7 minutes and Navtej’s arrival at the station is independent of when the train is due to leave
- June 2022, Statistics 3 (S3), Q5 (9 marks): A random sample of two observations X1 and X2 is taken from a population with unknown mean μ and unknown variance σ2 (a) Explain why 1 X μ σ − is not a statisti
- January 2022, Statistics 3 (S3), Q1 (10 marks): The weights, x kg, of each of 10 watermelons selected at random from Priya’s shop were recorded. The results are summarised as follows x x ∑ ∑ = = 114 2 1310 46
- January 2022, Statistics 3 (S3), Q2 (8 marks): Secondary schools in a region conduct ability testing at the start of Year 7 and the start of Year 8. Each year a regional education officer randomly selects 24
- October 2021, Statistics 3 (S3), Q1 (5 marks): A machine makes screws with a mean length of 30 mm and a standard deviation of 2.5 mm. A manager claims that, following some repairs, the machine is now making
- October 2021, Statistics 3 (S3), Q5 (8 marks): Assam produces bags of flour. The stated weight printed on the bags of flour is 3 kg. The weights of the bags of flour are normally distributed with standard de
- October 2021, Statistics 3 (S3), Q6 (12 marks): Amala believes that the resting heart rate is lower in men who exercise regularly compared to men who do not exercise regularly. She measures the resting heart
- June 2021, Statistics 3 (S3), Q3 (8 marks): Components are manufactured such that their length in mm is normally distributed with mean μ and variance σ2. Below is a 95% confidence interval for μ calculate
- June 2021, Statistics 3 (S3), Q4 (16 marks): A college runs academic and vocational courses. The college has 1680 academic students and 2520 vocational students. (a) Describe how a stratified sample of 70
- January 2021, Statistics 3 (S3), Q4 (14 marks): The scores in a national test of seven-year-old children are normally distributed with a standard deviation of 18 A random sample of 25 seven-year-old children
- October 2020, Statistics 3 (S3), Q1 (4 marks): The random variable X has the discrete uniform distribution . P for ( ) , , ..., X x x 1 1 2 The mean of a random sample of size n, taken from this distribution
- October 2020, Statistics 3 (S3), Q5 (12 marks): A greengrocer is investigating the weights of two types of orange, type A and type B. She believes that on average type A oranges weigh greater than 5 grams mor
- October 2020, Statistics 3 (S3), Q6 (8 marks): The number of toasters sold by a shop each week may be modelled by a Poisson distribution with mean 4 A random sample of 35 weeks is taken and the mean number o
Questions, mark schemes and examiner’s reports are © Pearson Edexcel, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? Every Edexcel International A Level Further Maths paper.
Rather write your answers by hand on iPad? Plumi marks them against the same mark schemes.