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.
316 exam-style questions on OCR A Level Maths 2.5 Statistical Hypothesis Testing, covering 2.5.1 The language of hypothesis testing, 2.5.2 Hypothesis test for a binomial proportion, 2.5.3 Inference and significance level, 2.5.4 Sample mean as a random variable (A-level only), 2.5.5 Hypothesis test for the mean of a normal distribution (A-level only), 2.5.6 Pearson's product-moment correlation coefficient, and 2.5.7 Hypothesis test using Pearson's coefficient (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.