An automobile company is looking for fuel additives that might increase gas mileage. Without additives, their cars are known to average 17 mpg (miles per gallons) with a standard deviation of 17/6 mpg on a road trip from Muscat to Sur. The company now asks whether a new additive increases this value. In a study, forty cars are sent on a road trip from Muscat to Sur. Suppose it turns out that the forty cars averaged ?̅= (17 + ?.??) mpg with the additive. Can we conclude from this result that the additive is effective? a. With a significance level of 5%. b. With a significance level of 1%.

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Chapter1: Combinatorial Analysis
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An automobile company is looking for fuel additives that might increase gas mileage. Without additives,
their cars are known to average 17 mpg (miles per gallons) with a standard deviation of 17/6 mpg on a road
trip from Muscat to Sur. The company now asks whether a new additive increases this value. In a study,
forty cars are sent on a road trip from Muscat to Sur. Suppose it turns out that the forty cars
averaged ?̅= (17 + ?.??) mpg with the additive. Can we conclude from this result that the additive is
effective?
a. With a significance level of 5%.
b. With a significance level of 1%.

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