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.
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.