A football coach measured the heights and weights of 12 players, The data is shown below.
| Height (cm) | 188 | 194 | 178 | 175 | 185 | 175 | 188 | 193 | 180 | 190 | 181 | 169 |
| Weight (kg) | 70 | 100 | 83 | 69 | 77 | 58 | 90 | 86 | 71 | 94 | 68 | 61 |
Draw a scatter graph for this information.
Give an interpretation of the correlation between the height and weight of the footballers.
The equation of the regression line is w=1.37h−173w = 1.37h - 173w=1.37h−173
Give an interpretation of the gradient of this regression line.
The product moment correlation coefficient is calculated to be 0.81.
Stating your hypotheses clearly test, at the 5% significance level, whether there is a positive correlation between height and weight
Determine whether you would reach the same conclusion at the 1% significance level.
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.