A marine biologist is researching the relationship between the depth, $d$ (metres), of a specific reef and the biodiversity index, $b$ , of the surrounding ecosystem. Data is collected from 8 distinct locations as shown in the table below.

Depth $d$ (m)	5	12	20	35	45	60	75	90
Index $b$	7.9	8.2	5.8	6.3	4.4	3.1	2.5	1.2

Calculate the Spearman's rank correlation coefficient between $d$ and $b$ .

The biologist's initial hypothesis was that there would be no correlation between depth and biodiversity index.

Test, at the 5% level of significance, the biologist's claim. State your hypotheses clearly. (The critical value for sample size $n = 8$ at the 5% two-tailed level is 0.7381).

Depth $d$ (m)	5	12	20	35	45	60	75	90
Index $b$	7.9	8.2	5.8	6.3	4.4	3.1	2.5	1.2

Calculate the Spearman's rank correlation coefficient between $d$ and $b$ .

The biologist's initial hypothesis was that there would be no correlation between depth and biodiversity index.

Test, at the 5% level of significance, the biologist's claim. State your hypotheses clearly. (The critical value for sample size $n = 8$ at the 5% two-tailed level is 0.7381).

4.3.1 Statistical hypothesis testing (A-level only)

Question 123

Markscheme

4.3.1 Statistical hypothesis testing (A-level only)

Question 123

Markscheme

4.3.1 Statistical hypothesis testing (A-level only)

Question 123

4.3.1 Statistical hypothesis testing (A-level only) Questions

4.3.1 Statistical hypothesis testing (A-level only)

Question 123

4.3.1 Statistical hypothesis testing (A-level only) Questions