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.
355 exam-style questions on OCR (MEI) A Level Maths 2.5 Statistical Hypothesis Testing, covering 2.5.1 Process and language of hypothesis testing, 2.5.2 When to apply 1-tail and 2-tail tests, 2.5.3 Significance level and incorrect rejection, 2.5.4 Null and alternative hypotheses (binomial), 2.5.5 Conduct a binomial hypothesis test, 2.5.6 Critical and acceptance regions (binomial), 2.5.7 Distribution of the sample mean (A-level only), 2.5.8 Hypothesis test for a single mean (A-level only), 2.5.9 Critical and acceptance regions (mean) (A-level only), 2.5.10 Correlation as closeness to a straight line (A-level only), 2.5.11 Inference using a correlation coefficient (A-level only), and 2.5 Statistical Hypothesis Testing. Each one has a worked solution and a mark scheme showing where the marks go.