A car manufacturer advertised that its new subcompact models get 47 miles per gallon. Let p be the mean of mileage distribution for these cars. You suspect that the mileage might be overrated and selected 15 cars of the model; the sample mean mileage was 45.5 miles per gallon and the sample standard deviation of the 15 cars was 2.5 miles per gallon. At 5% level of significance, test whether there is significant evidence that mean miles per gallon is less than 47 miles per gallon. a} Details given in the problem: b] Assumptions (ifanv): c} Null, Alternate Hypotheses and the tail test? d] Find the Critical Statistic [Table value} and Illustrate: Critical Statistic: e) State and Compute Test Statistic: f) Compute pvalue: g} Conclusion using critical method: h] Conclusion using pvalue method