Answer all please!

2. A tire manufacturer is interested in testing the fuel economy for two different tread patterns. Tires of each tread type were driven for 1000 miles on each of nine different cars. The mileages, in miles per gallon, were as follows: Car Tread A Tread B 1 24.7 20.3 2 22.5 19.0 3 24.0 22.5 4 26.9 23.1 5 22.5 20.9 6 23.5 23.6 7 22.7 21.4 3 19.7 18.2 9 27.5 25.9 Test the claim, at the 0.05 level of significance, that there is no difference in fuel economy between the two tread patterns. a. State the null and alternate hypotheses. (1 point} b. Give the P-value and the decision reached about the null hypothesis based on the p-va1_u_eJ:2 points) c. Summarize the nal conclusion in the context of the original claim. (3 points) d. Construct and interpret the appropriate confidence interval, based on the significance level provided in the problem, for the mean difference in fuel economy for the two tread patterns. (3 points)