| Exam Board | Edexcel |
|---|---|
| Module | S3 (Statistics 3) |
| Year | 2004 |
| Session | June |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Hypothesis test of Pearson’s product-moment correlation coefficient |
| Type | Compare PMCC with Spearman's rank |
| Difficulty | Standard +0.3 This is a straightforward hypothesis testing question requiring standard application of correlation coefficient tests with critical values from tables. The two-part structure and comparison element adds slight complexity beyond pure recall, but the procedures are routine for S3 students with no novel problem-solving required. |
| Spec | 5.08f Hypothesis test: Spearman rank |
2. A random sample of 8 students sat examinations in Geography and Statistics. The product moment correlation coefficient between their results was 0.572 and the Spearman rank correlation coefficient was 0.655 .
\begin{enumerate}[label=(\alph*)]
\item Test both of these values for positive correlation. Use a $5 \%$ level of significance.
\item Comment on your results.
\end{enumerate}
\hfill \mbox{\textit{Edexcel S3 2004 Q2 [8]}}