ConceptConceptDocsDocuments

Pearson Edexcel IAL Mathematics S3.3.3 Concept of a confidence interval

Practise interpreting confidence intervals, linking them to claims and reasoning about whether intervals contain the true mean.

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

S3.3.3 - Concept of a confidence interval 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.

All question bank results loaded