8) The 2008 Rambler Roadhog automobiles had mean gas mileage μ = 16

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8) The 2008 Rambler Roadhog automobiles had mean gas mileage μ = 16.8 mpg, with standard deviation σ = 3.2 mpg. The Roadhog was completely redesigned for 2009 to meet federal mandates. A random sample of 1200 of the 2009 Roadhogs revealed mean gas mileage = 17.0 mpg. It is reasonable to assume that σ did not change in the redesign. Is there significant evidence that the mean gas mileage of the 2009 Roadhog is greater than 16.8 mph?

Set up appropriate null and alternative hypotheses, calculate the appropriate test statistic, find the P-value, and state your conclusion (using level of significance α = .01).