This project analyses data collected by a wave monitoring buoy…
Question Answered step-by-step This project analyses data collected by a wave monitoring buoy… This project analyses data collected by a wave monitoring buoy anchored at Mackay (Queensland) in 2020. The data were made publicly available by the Queensland government.1 Wave monitoring data are used for example in the design and construction of coastal structures; the planning of fishing, small craft or port activities; and coastal and maritime weather forecasts. However, such applications are not in the scope of this project. The original data were slightly modified to simplify the analysis; the data to be used for this project are provided in the file Waves.csv together with this task sheet. The file contains the following variables, with each row giving data for a half-hour time period: Month – the month [integer 1, . . . ,12] Day – the year [integer 1, . . . ,31] Hour – the start of the time period [half integer 0 . . . ,23.5] MaxHeight – the maximum wave height in metres [decimal] Direction – the predominant direction of the waves [8 categories: N, NE, E, SE, S, SW, W, NW] We want to investigate the probability that waves at Mackay come from east, using the 2020 data as a sample. (a) Use bootstrapping to compute a 99% confidence interval for the proportion of half-hour time periods in which waves come predominantly from east. (b) Compute a 99% confidence interval for the proportion of half-hour time periods in which waves come predominantly from east by using the Central Limit Theorem to estimate the standard error of the appropriate sampling distribution, and compare your result to the interval found in part (a). We want to investigate the mean of the maximum wave heights that were recorded for each half-hour time period. (a) Mean maximum wave height We want to test whether there is evidence that the mean maximum wave height is less than 1.65 m. (i) Formulate an appropriate hypothesis test and use the function t.test to compute the p-value of the data in the test(ii) Use randomisation to compute the p-value of the data in the test. (iii) Compare the results from parts (i) and (ii) and state the test decision at a significance level of 5%. (b) Mean maximum wave height: April vs. December We want to test whether there is evidence that there is a difference in the mean maximum wave heights between April and December. (i) Formulate an appropriate hypothesis test and use the function t.test to compute the p-value of the data in the test. (ii) Use randomisation to compute the p-value of the data in the test. (iii) Compare the results from parts (i) and (ii) and state the test decision at a significance level of 10%. DATA : https://drive.google.com/file/d/13bFpUJ8HX4a0JPWwQxQ0oW62_1QMNnf2/view?usp=sharing MUST BE COMPLETED USING R STUDIO Computer Science Engineering & Technology Python Programming SCEM 300700 Share QuestionEmailCopy link Comments (0)


