OCR Further Statistics Specimen — Question 4

Exam BoardOCR
ModuleFurther Statistics (Further Statistics)
SessionSpecimen
TopicWilcoxon tests

4 A psychologist investigated the scores of pairs of twins on an aptitude test. Seven pairs of twins were chosen randomly, and the scores are given in the following table.
Elder twin65376079394088
Younger twin58396162502684
  1. Carry out an appropriate Wilcoxon test at the \(10 \%\) significance level to investigate whether there is evidence of a difference in test scores between the elder and the younger of a pair of twins.
  2. Explain the advantage in this case of a Wilcoxon test over a sign test.