A biochemist is investigating the relationship between the concentration of a catalyst, CCC (in mg/L), and the rate of a specific chemical reaction, RRR (in units/sec). The results for 8 unique samples are recorded in the table below.
| Sample | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|---|---|---|---|---|---|---|---|---|
| CCC | 1.2 | 0.5 | 3.8 | 2.1 | 0.9 | 4.5 | 1.7 | 2.9 |
| RRR | 14.2 | 6.4 | 28.5 | 19.1 | 11.8 | 35.2 | 10.5 | 22.7 |
Calculate the Spearman's rank correlation coefficient between CCC and RRR.
A laboratory colleague claims that there is no correlation between the catalyst concentration and the reaction rate in the population from which these samples were drawn.
Test, at the 5% level of significance, the colleague's claim. State your hypotheses clearly. (Critical value for n=8n=8n=8 at 5% two-tailed is 0.7381)
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.