WJEC Further Unit 5 2019 June — Question 5

Exam BoardWJEC
ModuleFurther Unit 5 (Further Unit 5)
Year2019
SessionJune
TopicWilcoxon tests

5. To qualify as a music examiner, a trainee must listen to a series of performances by 8 randomly chosen students. An experienced examiner and the trainee both award scores for each of the 8 performances. In order for the trainee to qualify, there must not be a significant difference between the average scores given by the experienced examiner and the trainee.
  1. Explain why the Wilcoxon signed rank test is appropriate. The scores awarded are shown below.
    StudentABCDEFGH
    Experienced Examiner1081099295145148134120
    Trainee1141169593137144133110
    1. Carry out an appropriate Wilcoxon signed rank test on this dataset, using a \(5 \%\) significance level.
    2. What conclusion should be reached about the suitability of the trainee to qualify?