A consumer products testing group is evaluating two competing brands of tires, Brand 1 and Brand 2. Tread wear can vary considerably depending on the type of car, and the group is trying to eliminate this effect by installing the two brands on the same 12 cars, chosen at random. In particular, each car has one tire of each brand on its front wheels, with half of the cars chosen at random to have Brand 1 on the left front wheel, and the rest to have Brand 2 there. After all of the cars are driven over the standard test course for 20,000 miles, the amount of tread wear (in inches) is recorded, as shown in the table below. 1 2 3 4 5 567 89 101 11 12 Brand 1 0.56 0.61 0.53 0.59 0.40 0.64 0.48 0.48 0.56 0.42 0.37 0.34 Brand 2 0.29 0.31 0.30 0.45 0.22 0.33 0.29 0.29 0.43 0.23 0.48 0.48 Difference (Brand 1 - Brand 2) 0.27 0.30 0.23 0.14 0.18 0.31 0.19 0.19 0.13 0.19 0.11 -0.14 Send data to calculator
A consumer products testing group is evaluating two competing brands of tires, Brand 1 and Brand 2. Tread wear can vary considerably depending on the type of car, and the group is trying to eliminate this effect by installing the two brands on the same 12 cars, chosen at random. In particular, each car has one tire of each brand on its front wheels, with half of the cars chosen at random to have Brand 1 on the left front wheel, and the rest to have Brand 2 there. After all of the cars are driven over the standard test course for 20,000 miles, the amount of tread wear (in inches) is recorded, as shown in the table below. 1 2 3 4 5 567 89 101 11 12 Brand 1 0.56 0.61 0.53 0.59 0.40 0.64 0.48 0.48 0.56 0.42 0.37 0.34 Brand 2 0.29 0.31 0.30 0.45 0.22 0.33 0.29 0.29 0.43 0.23 0.48 0.48 Difference (Brand 1 - Brand 2) 0.27 0.30 0.23 0.14 0.18 0.31 0.19 0.19 0.13 0.19 0.11 -0.14 Send data to calculator
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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