Required information 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 mpg) for the 10 cars are given below. Let us be the mean number of miles per gallon for taxis using radial tires, and let us be the mean number of miles per gallon for taxis using bias tires. 1 Car Radial 32.1 2. 36.1 3 32.3 4 34.6 5 34.3 6 31.9 7 33.4 8 34.6 9 35.2 10 32.7 Ilan Bias 27.1 31.5 30.4 26.9 29.9 28.7 32.3 31.8 33.6 29.9 Because switching tires on the taxi fleet is expensive, management does not want to switch unless a hypothesis test provides strong evidence that the mileage will be improved. Identify the appropriate null and alternate hypotheses. Can you conclude that the mean number of miles per gallon is higher with radial tires? Find the P-value and state a conclusion. A cost-benefit analysis shows that it will be profitable to switch to radial tires if the mean mileage improvement is greater than 2 mpg. Identify the appropriate null and alternate hypotheses. Can you conclude that the mean mileage with radial tires is more than 2 miles per gallon higher than that with bias tires? Find the P-value and state a conclusion.