OCR Further Statistics AS 2020 November — Question 4

Exam BoardOCR
ModuleFurther Statistics AS (Further Statistics AS)
Year2020
SessionNovember
TopicHypothesis test of Spearman’s rank correlation coefficien

4 After a holiday organised for a group, the company organising the holiday obtained scores out of 10 for six different aspects of the holiday. The company obtained responses from 100 couples and 100 single travellers. The total scores for each of the aspects are given in the following table.
AspectCouplesSingle travellers
Organisation884867
Travel710633
Food692675
Leader898898
Included visits561736
Optional visits683712
Fred wishes to test whether there is significant positive correlation between the scores given by the two categories.
  1. Explain why it is probably not appropriate to use Pearson's product-moment correlation coefficient.
  2. Carry out an appropriate test at the \(1 \%\) level.
  3. Explain what is meant by the statement that the test carried out in part (b) is a non-parametric test.