OCR S4 2016 June — Question 1

Exam BoardOCR
ModuleS4 (Statistics 4)
Year2016
SessionJune
TopicWilcoxon tests
1 Ten archers shot at targets with two types of bow. Their scores out of 100 are shown in the table.
Archer\(A\)\(B\)\(C\)\(D\)\(E\)\(F\)\(G\)\(H\)\(I\)\(J\)
Bow type \(P\)95979285879290899877
Bow type \(Q\)91918890808893859484
  1. Use the sign test, at the \(5 \%\) level of significance, to test the hypothesis that bow type \(P\) is better than bow type \(Q\).
  2. Why would a Wilcoxon signed rank test, if valid, be a better test than the sign test?
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