Edexcel S3 2022 January — Question 3

Exam BoardEdexcel
ModuleS3 (Statistics 3)
Year2022
SessionJanuary
TopicHypothesis test of Spearman’s rank correlation coefficien

3. The table shows the time, in seconds, of the fastest qualifying lap for 10 different Formula One racing drivers and their finishing position in the actual race.
Driver\(A\)\(B\)\(C\)\(D\)\(E\)\(F\)\(G\)\(H\)\(I\)\(J\)
Fastest
qualifying lap
62.9463.9263.6362.9563.9763.8764.3164.6465.1864.21
Finishing
position
12345678910
  1. Calculate the value of Spearman's rank correlation coefficient for these data.
  2. Stating your hypotheses clearly, test at the \(1 \%\) level of significance, whether or not there is evidence of a positive correlation between the fastest qualifying lap time and finishing position for these Formula One racing drivers.