(2). The website fueleconomy.gov allows drivers to report the miles per gallon of their vehicle. The...

 

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(2). The website fueleconomy.gov allows drivers to report the miles per gallon of their vehicle. The data in the following table show the reported miles per gallon of 2011 Ford Focus automobiles for 16 different owners. Treat the sample as a simple random sample of all 2011 Ford Focus automobiles. 35.7 37.2 34.1 32.5 38.9 32.0 37.3 41.3 37.1 39.6 38.8 38.2 32.2 40.9 37.0 36.0 (a). Construct a 95% confidence interval for the mean miles per gallon of a 2011 Ford Focus. (Hint: compute t- interval) (b). Interpret the interval. (3). Again consider the problem of estimating the miles per gallon of a 2011 Ford Focus. How large a sample is required to estimate the mean miles per gallon within 0.5 miles per gallon with 95% confidence? (Use the sample standard deviation computed in problem # 2, as an estimate for the unknown population standard deviation). (2). The website fueleconomy.gov allows drivers to report the miles per gallon of their vehicle. The data in the following table show the reported miles per gallon of 2011 Ford Focus automobiles for 16 different owners. Treat the sample as a simple random sample of all 2011 Ford Focus automobiles. 35.7 37.2 34.1 32.5 38.9 32.0 37.3 41.3 37.1 39.6 38.8 38.2 32.2 40.9 37.0 36.0 (a). Construct a 95% confidence interval for the mean miles per gallon of a 2011 Ford Focus. (Hint: compute t- interval) (b). Interpret the interval. (3). Again consider the problem of estimating the miles per gallon of a 2011 Ford Focus. How large a sample is required to estimate the mean miles per gallon within 0.5 miles per gallon with 95% confidence? (Use the sample standard deviation computed in problem # 2, as an estimate for the unknown population standard deviation).