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Question 2. A car has an average fuel consumption of 33 mpg (with o = 5.7). We took the new model of the car out for 35 tests and collected the data giving x = 34.8 mpg. Assume the new model's fuel consumption is normally distributed and has the same o, we want to decide whether this new model has better fuel consumption than the original one. (mpg stands for miles per gallon). (a) Given the null hypothesis and alternative hypothesis based on the above description. (b) Choose an appropriate test statistic. (c) Give the critical (rejection) region and p-value analysis respectively based on the data collected under 5% level of significance