Edexcel FS2 2019 June — Question 5

Exam BoardEdexcel
ModuleFS2 (Further Statistics 2)
Year2019
SessionJune
TopicWilcoxon tests

5 Alexa believes that students are equally likely to achieve the same percentage score on each of two tests, paper I and paper II. She randomly selects 8 students and gives them each paper I and paper II. The percentage scores for each paper are recorded. The following paired data are collected.
Student\(A\)\(B\)\(C\)\(D\)\(E\)\(F\)\(G\)\(H\)
Paper I (\%)7070848064656590
Paper II (\%)6476727468645876
Test, at the \(1 \%\) significance level, whether or not there is evidence to support Alexa's belief. State your hypotheses clearly and show your working.