Edexcel S3 Specimen — Question 4

Exam BoardEdexcel
ModuleS3 (Statistics 3)
SessionSpecimen
TopicHypothesis test of Spearman’s rank correlation coefficien

4. At the end of a season a league of eight ice hockey clubs produced the following table showing the position of each club in the league and the average attendances (in hundreds) at home matches.
Club\(A\)\(B\)\(C\)\(D\)\(E\)\(F\)\(G\)\(H\)
Position12345678
Average3738192734262232
  1. Calculate the Spearman rank correlation coefficient between position in the league and average home attendance.
  2. Stating clearly your hypotheses and using a \(5 \%\) two-tailed test, interpret your rank correlation coefficient. Many sets of data include tied ranks.
  3. Explain briefly how tied ranks can be dealt with.