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Unformatted text preview: ENGM2032, Applied Probability and Statistics Winter 2010 Assignment #1: Solutions 1) The sample means, standard deviations, and medians (in l/100 km) of observed fuel consump- tions for both cars are summarized in the following table: Car A Car B a) Mean, x 5.20 5.69 b) St.Dev., s 0.461 0.483 c) Median, x 5.20 5.70 d) The sample mean and median fuel consumption for Car B are larger than those for Car A. Thus, Car A is superior in the sense that it gets better fuel economy. Also, the sample standard deviation for Car A is smaller (although only a bit) than that of Car B. Thus, the fuel economy for Car A shows more consistency under different driving conditions which is somewhat desirable. We shall see in Chapter 7 how to go about quantifying both of these measures simultaneously to make informed decisions. 2) a) The sample mean is 1.030. The sample median is (1 . 007 + 1 . 011) / 2 = 1 . 009....
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- Spring '10