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What to upload? As your lab work for this week, upload your R script for the first exercises (Question 1) only. 1. You are the Western Power manager responsible for sourcing coal for the Muja power station. The Muja power station has a capacity of 850MW and is the largest power station in Western Australia. The Muja power station is a critical part of the State’s electricity infrastructure. There are two coal mines in Collie that are approximately equidistant to the power station. These coal mines are the Griffin Coal mine, owned by Lanco; and the Premier coal mine, owned by Yancoal. You have been tasked with deciding if a single contract should be given to one mine or if each mine should be given a supply contract. The delivered price of coal will be the prevailing market price, so the key difference between the coal from the two mines is the ash content. If there is no difference in the ash content of the coal from each mine you will give each mine a contract as diversity in supply is preferred. However, if there is a difference in the ash content, you will give the contract to the supplier with the coal that has the lowest ash content. The Premier v Griffin data file contains measurements, expressed in percentage terms, on the ash content of the coal from random samples at each mine. Conduct a structured test to determine if the ash content for the two samples are the same or not. a. Calculate the mean and sample standard deviation for each set of ash content measurements. b. Create an appropriate plot for the data. Rather than rely on the default column headings as the group names in your plot use “Premier coal” and “Griffin coal” as the group names. That means you will need to use the names argument to rename the groups in your plot. c. Conduct a formal test to compare the ash content of the coal from the two mines, and make a decision about whether you should issue one supply contract or two supply contracts. If you decide you should issue only one supply contract, specify which coal mine will get the contract. Upload required for exercise above: Upload the complete R script you used for the exercises above (a, b, and c) along with the accompanying commentary or documentation. (You do not need to upload the plot generated by the script – only the script is to be uploaded). The upload should include : (i) Data exploration and what the exploration suggests (This is parts (a) and (b) above) (ii) The null and alternative hypotheses for the tests you did (iii) The significance level (or alpha value) for the tests (iv) The implementation the tests (v) The interpretation of the results (Is the null rejected/accepted? And why)
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