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The mean miles per gallon of gas for a 2023 sedan is 67 mpg miles per gallon This distance is normally distributed with a sample

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The mean miles per gallon of gas for a 2023 sedan is 67 mpg miles per gallon This distance is normally distributed with a sample standard deviation of 4 miles per gallon A newer engine model is suspected to improve miles per gallon A test is conducted where a sedan with the newer engine and 1 gallon of gas drives 30 times with a mean of 72 mpg Using an alpha of 0 02 conduct a hypothesis test to determine if the newer engine model improved the miles per gallon of the sedan Then interpret the decision within the context of the problem

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