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The management of a taxi cab company is trying to decide if they should switch f

ID: 3245026 • Letter: T

Question

The management of a taxi cab company is trying to decide if they should switch from bias tires to radial tires to improve fuel economy. Each of 10 taxis was equipped with one of the two tire types and driven on a test course. Without changing drivers, tires were then switched to the other tire type and the test course was repeated. The fuel economy (in mi/gal) for the 10 cars is as follows: Car Radial Bias 1 29.7 27.1 2 36.6 31.5 3 32.1 30.4 428.9 26.9 530.629.9 28.7 7 32.5 30.2 834.431.8 9 34.333.6 10 32.9 29.9 6 29

Explanation / Answer

Below is Result from Excel :-

p-value = P(T> 2.01844) = 0.029349347

t-Test: Two-Sample Assuming Equal Variances Radial Bias Mean 32.1 30 Variance 6.56 4.264444444 Observations 10 10 Pooled Variance 5.412222222 Hypothesized Mean Difference 0 df 18 t Stat 2.018442987 P(T<=t) one-tail 0.029349347 t Critical one-tail 1.734063607 P(T<=t) two-tail 0.058698693 t Critical two-tail 2.10092204