Assignment I

# Assignment I - ENGM2032 Applied Probability and Statistics...

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ENGM2032, Applied Probability and Statistics Winter 2010 Assignment #1 Due: Mon Jan 11 (Sexton), Tuesday Jan 12 (Studley), 2010 1) The fuel economy of two small cars is being studied by driving 15 of each in different conditions and recording the fuel consumed. The resulting fuel economies, in litres/100 km, are as follows; Car A: 5.0 5.4 5.2 4.7 6.1 5.6 5.1 5.1 4.8 5.6 5.3 4.3 5.8 5.2 4.8 Car B: 5.7 6.1 4.7 5.2 5.3 5.7 5.6 5.3 6.7 5.8 6.2 5.6 5.6 6.2 5.7 For each car, compute a) the sample mean, b) the sample standard deviation, and c) the sample median of the fuel economy. d) Based on the results, which car do you think performs the best? Why? (Here, you will only be expected to give your best opinion. Later, we will investigate more formal approaches to answering this question.) 2) One of the advantages that concrete structures have over steel structures is fire resistance (which is to say, steel becomes weak when heated). The time, T , that it takes a steel girder to reach certain temperature (where its strength becomes too low to support its load) in a fire is, however, random. Suppose that for design code development, the following data has been gathered on

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Assignment I - ENGM2032 Applied Probability and Statistics...

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