OCR MEI Further Statistics Major Specimen — Question 6

Exam BoardOCR MEI
ModuleFurther Statistics Major (Further Statistics Major)
SessionSpecimen
TopicHypothesis test of Spearman’s rank correlation coefficien

6 Fig. 6 shows the wages earned in the last 12 months by each of a random sample of American males aged between 16 and 65 . \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{e6ee3a4a-3e76-4422-9a78-17b64b458f83-07_771_1278_340_392} \captionsetup{labelformat=empty} \caption{Fig. 6}
\end{figure} A researcher wishes to test whether the sample provides evidence of a tendency for higher wages to be earned by older men in the age range 16 to 65 in America.
  1. The researcher needs to decide whether to use a test based on Pearson's product moment correlation coefficient or Spearman's rank correlation coefficient. Use the information in Fig. 6 to decide which test is more appropriate.
  2. Should it be a one-tail or a two-tail test? Justify your answer.