The manufacturer of a small utility trailer is interested in comparing the amount of fuel used in

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The manufacturer of a small utility trailer is interested in comparing the amount of fuel used in towing the trailer with that required to overcome the weight and wind resistance of a rooftop carrier. Over a standard test route at highway speeds, 8 trips with the trailer resulted in an average fuel consumption of 0.28 gallons, with a standard deviation of 0.03. Under similar conditions, 10 trips with the rooftop carrier led to an average consumption of 0.35 gallons, with a standard deviation of 0.05 gallons. Assuming normal populations with equal standard deviations, use the 0.01 level in examining whether pulling the trailer uses significantly less fuel than driving with the rooftop carrier.
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