[Solution] Fuel economy of the Honda Civic. According to the Environmental Protection Agency (EPA) Fuel Economy Guide, the 2009 Honda Civic automobile obtains


Question: Fuel economy of the Honda Civic. According to the Environmental Protection Agency (EPA) Fuel Economy Guide, the 2009 Honda Civic automobile obtains a mean of 36 miles per gallon (mpg) on the highway. Suppose Honda claims that the EPA has underestimated the Civic's mileage. To support its assertion, the company selects \(n=50\) model 2009 Civic cars and records the mileage obtained for each car over a driving course similar to the one used by the EPA. The following data resulted: \(\bar{x}=38.3 \mathrm{mpg}, s=6.4 \mathrm{mpg}\).

  1. If Honda wishes to show that the mean \(\mathrm{mpg}\) for 2009 Civic autos is greater than \(36 \mathrm{mpg}\), what should the alternative hypothesis be? The null hypothesis?
  2. Do the data provide sufficient evidence to support the auto manufacturer's claim? Test using \(\alpha=.05 .\) List any assumptions you make in conducting the test.

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