CourseCourseConceptConceptDocsDocuments

CAIE A-Level Further Math AS 4.4 Non Parametric Tests Questions

Practise selecting and carrying out sign, signed-rank or rank-sum tests, using population-median hypotheses, correct ranks and contextual conclusions.

Syllabus
2028–2030
Course
Further Mathematics 9231
Level
AS

Exam points

  • choose a sign, signed-rank or rank-sum procedure from the pairing and distribution assumptions
  • state population-median hypotheses and calculate the signed or combined ranks accurately
  • compare the test statistic or probability with its threshold and conclude in the claim's context

Covered syllabus points

4.4.1—Non-parametric tests4.4.2—The basis of the sign test4.4.3—Single-sample sign tests4.4.4—Paired non-parametric tests

Question 1

[Maximum number: 10]

A school is conducting an experiment to see whether the distance that children can throw a ball increases in hot weather. On a cold day, all the children at the school were asked to throw a ball as far as possible. The distances thrown were measured and recorded. The median distance thrown by a random sample of 25 of the children was 22.0 m . The children were asked to throw the ball again on a hot day. The distances thrown by the same 25 children were measured and recorded and these distances, in m , are shown below.

Table for Question 1 — CAIE A-Level Further Math AS

The teacher claims that on average the distances thrown will be further when it is hot.
Carry out a Wilcoxon signed-rank test, at the 5% significance level, to test whether the data supports the teacher's claim.
[10]

All question bank results loaded