Edexcel S3 2021 June — Question 1

Exam BoardEdexcel
ModuleS3 (Statistics 3)
Year2021
SessionJune
TopicHypothesis test of Spearman’s rank correlation coefficien
  1. A plant biologist claims that as the percentage moisture content of the soil in a field increases, so does the percentage plant coverage. He splits the field into equal areas labelled \(A , B , C , D\) and \(E\) and measures the percentage plant coverage and the percentage moisture content for each area. The results are shown in the table below.
\cline { 2 - 6 } \multicolumn{1}{c|}{}\(A\)\(B\)\(C\)\(D\)\(E\)
Coverage \%10122506
Moisture \%3020401025
  1. Calculate Spearman's rank correlation coefficient for these data.
  2. Stating your hypotheses clearly, test at the \(5 \%\) level of significance, whether or not these data provide support for the plant biologist's claim.
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