he 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, by hand, a) the sample mean, b) the sample standard deviation, and c) the sample median of the fuel economy.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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Problem 3 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, by hand, a) the sample mean, b) the sample standard deviation, and c) the sample median of the fuel economy. d) Use MINITAB to produce parallel boxplots. e) Based on the results in a)-d), which car do you think performs better? Why? (Here, you will only be expected to give your best opinion. Later, we will investigate more formal approaches to answering this question.)
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