The website fueleconomy.gov allows drivers to report the miles per gallon of their vehicle. The data in Table 7 shows 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. Construct a  \(95 \%\) confidence interval for the mean miles per gallon of a 2011 Ford Focus using a bootstrap sample. Interpret the interval.

Approach We will use Minitab to obtain the \(95 \%\) confidence interval using a bootstrap sample. The steps for constructing confidence intervals using a bootstrap sample using Minitab and StatCrunch are given in the Technology Step-by-Step.

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Table 7 35.7 37.2 34.1 38.9 32.0 41.3 32.5 37.1 37.3 38.8 38.2 39.6 32.2 40.9 37.0 36.0