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Unformatted text preview: MATH11400 Statistics 1 2008-09 Homepage http://www.maths.bris.ac.uk/ maejc/stats1/intro.html Problem Sheet 9 Remember: when online, you can access the Statistics 1 data sets from an R console by typing load(url("http://www.maths.bris.ac.uk/maejc/stats1/stats1.RData")) Note: for each of the following questions your answer should include a statement of any model assumptions, a brief description of your working at each stage of the test procedure including the approximate p-value and the critical region for the test, and a summary of your conclusions. You may find it helpful to check your numerical calculations using the t.test() function in R. *1. Eight athletes ran a 400 metre race at sea level and at a later meeting ran a 400 metre race at high altitude. Their times in seconds are shown in the table below. Test at the null hypothesis that race times are unaffected by altitude, against the alternative that race times are greater at high altitude using a test procedure with significance level = 0 . 05 . The data is contained in the Statistics 1 data sets runner.sea and runner.high respectively. Runner 1 2 3 4 5 6 7 8 Sea Level 48.3 47.6 49.2 50.3 48.8 51.1 49.0 48.1 High Altitude 50.4 47.3 50.8 52.3 47.7 54.5 48.9 49.9 *2. To investigate the relative size of secretarial starting salaries in the public and private sector,*2....
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