(c) Mean maximum wave height vs. wave direction We want to test whether there is evidence that the mean maximum wave height depends on the predominant direction of the waves. (i) [1 mark] Formulate an appropriate hypothesis test, and ex- plain which statistical method should be used to conduct the test. (ii) [0.5 marks] Compute the test statistic of the data. (iii) [0.5 marks] Compute the p-value of the data, and state the test decision at a significance level of 1%. (iv) [0.5 marks] Discuss whether or not it makes sense to conduct pairwise t-tests for the given data. (v) [1 mark] Explain how you could use randomisation to estimate the p-value of the data. Discuss in particular the number of randomisation samples that would have to be created to get an accurate estimate of the p-value for the given data