WJEC Further Unit 5 2023 June — Question 4

Exam BoardWJEC
ModuleFurther Unit 5 (Further Unit 5)
Year2023
SessionJune
TopicWilcoxon tests

4. Llŷr believes that he will have more social media followers by appearing on a certain Welsh television show. To investigate his belief, he collects data on 9 randomly selected contestants who have appeared on the show. Llŷr records the number of social media followers one week before and one week after the contestants appeared on the show. The data he collects are shown in the table below.
ContestantABCDEFGH1
Before48010080344351781876741457
After8419987513449545428201011644
    1. Carry out a Wilcoxon signed-rank test on this data set, at a significance level as close to 10\% as possible.
    2. Suggest a possible course of action that Llŷr might take.
  1. Give two reasons why the Wilcoxon signed-rank test is appropriate in this case.