Edexcel S3 2016 June — Question 1

Exam BoardEdexcel
ModuleS3 (Statistics 3)
Year2016
SessionJune
TopicHypothesis test of Spearman’s rank correlation coefficien

  1. The table below shows the distance travelled by car and the amount of commission earned by each of 8 salespersons in 2015
SalespersonDistance travelled (in 1000's of km)Commission earned (in \\(1000's)
A20.417.7
B22.224.1
C29.920.3
D37.828.3
E25.534.9
\)F$30.229.3
G35.323.6
H16.526.8
  1. Find Spearman's rank correlation coefficient for these data.
  2. Stating your hypotheses clearly, test, at the \(5 \%\) level of significance, whether or not there is evidence of a positive correlation between the distance travelled by car and the amount of commission earned.