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Unformatted text preview: ENGM2032, Applied Probability and Statistics Winter 2011 Assignment #1 Due: Monday Jan 17, 2011 1) The lifetimes of two makes of high energy lasers were compared using continuous bench tests. The resulting recorded lifetimes, in hours, are as follows; Make 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 Make 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 make of laser, compute a) the sample mean, b) the sample standard deviation, and c) the sample median of the observed lifetime. d) Based on the results, which brand do you think performs the best? Why? (Here, you will only be expected to give your best opinion, although you are welcome to substantiate it rigorously. Later, when we look at hypothesis testing, we will investigate alternative ‘rational’ approaches to approaching 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 a...
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This note was uploaded on 06/06/2011 for the course ENGM 2032 taught by Professor Yao during the Winter '10 term at Dalhousie.
- Winter '10