A high-performance sports scientist is evaluating the efficacy of a new physiological recovery protocol on the lung capacity of elite rowers. The lung capacities, measured in liters, are assumed to be normally distributed. A random sample of 6 rowers underwent the protocol, and their capacities were recorded immediately before and one week after the intervention. The results are presented in the following table:
| Rower | A | B | C | D | E | F |
|---|---|---|---|---|---|---|
| Before | 6.2 | 5.8 | 7.1 | 6.4 | 5.5 | 6.9 |
| After | 6.5 | 5.7 | 7.4 | 6.2 | 5.8 | 7.2 |
Calculate a 95% confidence interval for the mean difference in lung capacity.
Using your confidence interval, determine whether there is evidence at the 5% significance level to suggest that the protocol has changed the mean lung capacity. State your hypotheses clearly.
Practise Edexcel A Level Maths Hypothesis Testing with the Normal Distribution with exam-style questions for A Level Maths. 132 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
