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QUESTION 1 A tire manufacturer is interested in testing the fuel economy for two different tread patterns. Tires of each tread type are driven for 1000 miles on each 15 different cars. The mileages, in mpg, are presented in the following table. The engineer at the tire manufacturer reported a confidence interval of (-0.2882 , 1.8882) for the difference in the mean mileages between Tread A and Tread B. However, the engineer neglected to specify the significance level of the given confidence interval. Could you help the engineer in estimating the significance level of the confidence interval if the population of Tread A and Tread B comes from normal population with equal variance? Using hypothesis testing, what can you conclude about the difference in the mean mileages between Tread A and Tread B? Table Q1: The mileages of each tread type (in mpg) of the 15 different cars Sample Tread A Tread B 1 24.1 22.5 23.5 21.5 22.4 21.4 21.5 22.7 VOUAWN 24.6 23.4 25.6 24.3 22.4 22.9 8 21.1 21.6 9 22.8 22.3 10 23.5 21.9 11 21.8 22.5 12 25.6 23.1 13 24.6 22.2 14 23.5 23.6 15 25.0 24.1 [25 marks]