A sommelier investigates whether the maturation period of single malt whiskey affects its perceived flavor complexity. They select 9 bottles of various ages and rank them based on a 'Complexity Index' (where 9 is the most complex). The results are shown below:
| Age AAA (years) | 45 | 12 | 28 | 15 | 33 | 10 | 21 | 40 | 18 |
|---|---|---|---|---|---|---|---|---|---|
| Complexity Rank CCC | 8 | 2 | 6 | 3 | 9 | 1 | 5 | 7 | 4 |
Calculate Spearman's rank correlation coefficient (rsr_srs) for these data.
Stating your hypotheses clearly and using a one-tailed test at the 5% level of significance, interpret your coefficient. (The critical value for n=9n=9n=9 at the 5% level is 0.6000).
State a reason why Spearman's rank correlation coefficient might be more appropriate than the product moment correlation coefficient (PMCC) for this specific dataset.
278 exam-style questions on CCEA A Level Maths 2.5 Data presentation and interpretation, covering 2.5.1 Data presentation and interpretation, 2.5.2 Data presentation and interpretation, 2.5.3 Data presentation and interpretation, 2.5.4 Data presentation and interpretation, 2.5.5 Data presentation and interpretation, 2.5.6 Data presentation and interpretation, 2.5.7 Data presentation and interpretation, 2.5.8 Data presentation and interpretation, 2.5.9 Data presentation and interpretation, and 2.5 Data presentation and interpretation. Each one has a worked solution and a mark scheme showing where the marks go.