(c) Mean maximum wave height vs. wave direction We want to test whether there is cvidenee 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 pvalue of the data1 and state the test decision at a signicanee level of 1%. (iv) [0.5 marks] Discuss whether or not it makes sense to eonduct 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 wouid have to be created to get an accurate estimate of the pvalue for the given data