A taxi company manager is trying to decide whether the use of 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 then equipped with regular belted tires and driven once again over the test course. The gasoline consumption, in kilometers per liter, was recorded as follows: (image attached) Can we conclude that cars equipped with radial tires give better fuel economy than those equipped with belted tires? Assume the populations to be normally distributed. Use both p-value and critical value approach

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  1. A taxi company manager is trying to decide whether the use of 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 then equipped with regular belted tires and driven once again over the test course. The gasoline consumption, in kilometers per liter, was recorded as follows: (image attached)

Can we conclude that cars equipped with radial tires give better fuel economy than those equipped with belted tires? Assume the populations to be normally distributed. Use both p-value and critical value approach.

Kilometers per Liter
Car Radial Tires Belted Tires
4.2
4.1
2
4.9
6.2
4.7
6.6
7.0
6.9
6.7
6.8
4.5
4.4
5.7
6.0
7.4
4.9
6.1
5.2
7
5.7
5.8
6.9
10
4.7
11
6.0
12
4.9
Transcribed Image Text:Kilometers per Liter Car Radial Tires Belted Tires 4.2 4.1 2 4.9 6.2 4.7 6.6 7.0 6.9 6.7 6.8 4.5 4.4 5.7 6.0 7.4 4.9 6.1 5.2 7 5.7 5.8 6.9 10 4.7 11 6.0 12 4.9
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