OCR S1 2014 June — Question 6

Exam BoardOCR
ModuleS1 (Statistics 1)
Year2014
SessionJune
TopicHypothesis test of Spearman’s rank correlation coefficien

6 Fiona and James collected the results for six hockey teams at the end of the season. They then carried out various calculations using Spearman's rank correlation coefficient, \(r _ { s }\).
  1. Fiona calculated the value of \(r _ { s }\) between the number of goals scored FOR each team and the number of goals scored AGAINST each team. She found that \(r _ { s } = - 1\). Complete the table in the answer book showing the ranks.
    TeamABCDEF
    Number of goals FOR (rank)123456
    Number of goals AGAINST (rank)
  2. James calculated the value of \(r _ { s }\) between the number of goals scored and the number of points gained by the 6 teams. He found the value of \(r _ { s }\) to be 1 . He then decided to include the results of another two teams in the calculation of \(r _ { s }\). The table shows the ranks for these two teams.
    TeamGH
    Number of goals scored (rank)78
    Number of points gained (rank)87
    Calculate the value of \(r _ { s }\) for all 8 teams.