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CAIE A-Level Further Mathematics 4.4.1 Non-Parametric Tests

Practise explaining why a rank- or sign-based test is preferable when the relevant population distribution, or paired differences, cannot be assumed normal.

Syllabus
2028–2030
Course
Further Mathematics 9231
Level
AS

Exam points

  • refer to the population distribution, not merely the sample data, when normality is doubtful
  • for paired data, identify non-normal or non-symmetric population differences as the failed assumption

4.4.1—Non-parametric tests question 1

[Maximum number: 1]

State briefly the circumstances under which a non-parametric test of significance should be used rather than a parametric test.

The level of pollution in a river was measured at 12 randomly chosen locations. The results, in suitable units, are shown below, where higher values represent greater pollution.

Table for Question 4.4.1—Non-parametric tests question 1 — CAIE A-Level Further Math AS
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