A team of aerospace engineers is testing two types of wind-speed sensors, Sensor X and Sensor Y, on 8 experimental drone flights. The readings (in knots) are recorded below:
| Flight | A | B | C | D | E | F | G | H |
|---|---|---|---|---|---|---|---|---|
| Sensor X | 12 | 15 | 8 | 22 | 19 | 5 | 25 | 10 |
| Sensor Y | 14 | 18 | 6 | 20 | 24 | 7 | 23 | 9 |
Calculate Spearman's rank correlation coefficient for these readings.
Test, at the 5% level of significance, whether there is a positive correlation between the sensors' readings. State your hypotheses clearly.
Sensor Y's reading for Flight F was later corrected to 6 knots. Explain how you would calculate Spearman's rank correlation coefficient in this case, without performing any new calculations.
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.