A student investigated whether there is a correlation between the light intensity at six sites and the number of plant species found there. She ranked both variables:
| Site | A | B | C | D | E | F |
|---|
| Rank of light intensity | 1 | 2 | 3 | 4 | 5 | 6 |
| Rank of number of species | 2 | 1 | 4 | 3 | 6 | 5 |
(a) State a suitable null hypothesis.
(b) Calculate Spearman's rank correlation coefficient,
rs = 1 - (6Σ d2)/(n(n2 - 1)).
(c) The critical value for
n = 6 at
p = 0.05 (two-tailed) is 0.886. What should the student conclude?
(d) Explain why Spearman's rank was used rather than a t-test.
(e) Suggest one improvement to the investigation.