Ten wireless earbud models—Aurora (A), Borealis (B), Comet (C), Drift (D), Echo (E), Flare (F), Glide (G), Halo (H), Ion (I), and Jolt (J)—are evaluated by two tech publications, 'AudioPhile' and 'TechTrend'. Each publication ranks the earbuds from 1 (best) to 10 (worst).
| Rank | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|
| AudioPhile | C | A | G | D | B | H | F | J | I | E |
| TechTrend | D | C | H | A | G | B | J | F | E | I |
Calculate Spearman’s rank correlation coefficient for these data.
Stating your hypotheses clearly, test at the 5% level of significance whether or not there is a positive correlation between the rankings of the two publications.
178 exam-style questions on WJEC A Level Maths 4.3.1 Statistical hypothesis testing (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.