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Using the weather records for March 2015 and March 2016, compute 99% confidence intervals for the mean minimum daily temperature and the mean maximum daily temperature for the month of March
(a) [1.5 marks] using quantiles of a bootstrap distribution; and
(b) [0.5 marks] using a t-test in R (t.test).
(c) [1 mark] Compare and interpret your results from (a) and (b).
2 Days with rain in March
Using the weather records for March 2015 and March 2016, compute a 99% confidence interval for the proportion of days with rain for the month of March
(a) [1.5 marks] using quantiles of a bootstrap distribution; and
(b) [0.5 marks] using a χ2-test in R (prop.test).
(c) [1 mark] Compare and interpret your results from (a) and (b).
3 Wind speeds at 9am and at 3pm
[3 marks] Using the entire data set, we want to test whether there is evidence for an association between the wind speed at 9am and the wind speed at 3pm. Compute the p-value of the test by constructing an appropriate randomisation distribution, and interpret your results, using a significance level of 1%.
