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Edexcel A-Level Mathematics A2 S3.3.8 Use of Large Sample Results Questions

Practise large-sample inference by forming z tests for one or two means, then linking the decision to a contextual recommendation.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
A2

Exam points

  • Use sample variances and sample sizes to form the standard error for a large-sample z test.
  • Compare the test statistic with the critical value before accepting or rejecting the claim.
  • Use the statistical decision with costs, yields or context to justify a recommendation.

Edexcel A-Level Mathematics A2 S3.3.8 Use of Large Sample Results Questions question 1

[Maximum number: 9]

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 more than type B oranges. She collects a random sample of 40 type A oranges and 32 type B oranges and records the weight, x grams, of each orange.

The table shows a summary of her data.

Table for Question Edexcel A-Level Mathematics A2 S3.3.8 Use of Large Sample Results Questions question 1 — Edexcel A-Level Mathematics A2

Question (a)

(a)

Test, at the 5% level of significance, the greengrocer's belief. You should state the hypotheses and the critical value used for this test.

[ 7 ]

Question (b)

(b)

Explain how you have used the fact that the sample sizes are large in your answer to part (b).

[ 2 ]
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