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Edexcel A-Level Mathematics A2 S3.3.3 Concept of a Confidence Interval Questions

Practise interpreting confidence intervals and linking interval coverage to claims with verified Edexcel IAL questions and mark schemes.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
A2

Exam points

  • use whether a claimed mean lies inside the interval to comment on the claim
  • calculate the probability that exactly one of two independent confidence intervals contains µ

Edexcel A-Level Mathematics A2 S3.3.3 Concept of a Confidence Interval Questions question 1

[Maximum number: 2]

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 unknown mean μ\mu and known standard deviation 0.4

The stones in each of a random sample of 36 bags from a large batch is weighed. The total weight of stones in these 36 bags is found to be 806.4 kg

Using your answer to part (a), comment on the claim made by the manufacturer.

The weight, Y kilograms, of gravel in a large bag can be modelled by a normal distribution with mean 850 kg and standard deviation 5 kg

A builder purchases 10 large bags of gravel.

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