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1. Do a complete hypothesis testing for the following problem. A taxi company is trying to decide whether the use of radial tires instead of regular belted tires improves fuel economy. Twelve cars were driven twice over a prescribed test course, each time using a different type of tires (radial and belted) in random order. The mileage, in kilometers per liter was recorded. Cars 2 3 4 5 6 8 9 10 11 12 Radial 4.2 4.7 6.6 6.7 4.5 5.7 6 7.4 49 6.1 5.2 Tires Belted 4.1 4.5 6.2 6.8 4.4 5.7 5.8 6.9 47 4.9 Tires Step 1: State the Null and Alternative Hypothesis Ho: H1: Step 2: Specify the level of significance a, degrees of freedom df, Sample size per group nj, 712, and Sample mean of each group x, and Xz. a = 1 = df =_ n2 = Step 3: Choose the test statistic Step 4: Determine the critical region and state the decision rule. Step 5: Computation of the test statistic Step 6: Decision / Conclusion