a) Describe what a type I error would mean in the context of this problem

b) Describe what a type II error would mean in the context of this problem

c) Carry out a hypothesis test using level of significance ?? = ??. ????, find it only using the following steps in order of 1) Null Hypothesis 2) Alternative Hypothesis 3) Compute test statistic value 4) Rejection Region 5) Decision 6) Conclusion 7) Risk of what type of error

d) Would your conclusion be different if ?? = ??. ?? had been used? Write your conclusion in this case

e) Construct a 95% confidence interval for the population mean of hybrid gas mileage

f) Construct a 95% confidence interval for the population variance of hybrid gas mileage

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The accompanying table shows the city gas mileage for 6 hybrid cars, as reported by the Environmental Protection Agency in 2007. Assume that the data are approximately normally distributed. Vehicle Mileage (mpg) Honda Accord 30 Ford Escape (2wd) 36 Toyota Highlander 33 Saturn VUE Green Line 27 Lexus RX 400h 31 Lexus GS 450h 25 We would like to test whether the true average city gas mileage for such cars is more than 27 mpg. The accompanying table shows the city gas mileage for 6 hybrid cars, as reported by the Environmental Protection Agency in 2007. Assume that the data are approximately normally distributed. Vehicle Mileage (mpg) Honda Accord 30 Ford Escape (2wd) 36 Toyota Highlander 33 Saturn VUE Green Line 27 Lexus RX 400h 31 Lexus GS 450h 25 We would like to test whether the true average city gas mileage for such cars is more than 27 mpg.