A taxi company manager is trying to decide whether to use radial tires instead of regular belted tires improves fuel economy. Twelve cars were equipped with radial tires and driven over a prescribed test course. Without changing drivers, the same cars were equipped with regular belted tires and driven once again over the course. The gasoline consumption, in kilometers per liter, was recorded as follows: Cars Radial Tires 4.2 Belted Tires 1 4.1 2 4.7 4.9 3 6.6 6.2 7.0 6.7 4.5 5.7 6.0 7.4 4.9 6.1 6.9 6.8 4 5 6 4.4 5.7 5.8 6.9 7 8 10 4.7 11 6.0 12 5.2 4.9 Can we conclude that cars equipped with radial tires gives better fuel economy than those equipped with belted tires. Assume the populations to be normally distributed. Use a 0.05 level of significance. 20 pts

Solve the system. Use any method you wish. =x+ 12 y =144 19x? +y?

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