The amount of rainfall (x x\,x mm) and the wind speed (y y\,y knots) were recorded for 15 days.
The product moment correlation coefficient for these data is calculated to be r=0.521r = 0.521r=0.521.
Stating your hypotheses clearly test, at the 5% significance level, whether there is a positive correlation between rainfall and wind speed.
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.