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6. Twelve cars were equipped with radial tires and driven over a test course. Then the same 12 cars (with the same drivers) were equipped with regular belted tires and driven over the same course. After each run, the cars' gas economy (in km/I) was measured. Is there evidence that radial tires produce better fuel economy? Use a=0.05. Car 1 2 3 4 5 6 7 8 9 10 11 12 Radial 4.2 4.7 6.6 7.0 6.7 4.5 5.7 6.0 7.4 4.9 6.1 5.2 Belted 4.1 4.9 6.2 6.9 6.8 4.4 5.7 5.8 6.9 4.7 6.0 4.9 "Is this a paired test? Explain why or why not. (4 points) b. State the null and alternative hypotheses for this situation. (4 points) c. What is the p-value for this hypothesis test? (2 points) d. State a significance level at which the decision from part (c) would change. (3 points) e. Calcuate a 90% confidence interval for the mean difference between tires' fuel economy. (3 points)