Marjorie More Mileage is obsessed with getting the best gas mileage possible for her 2017 Toyota Prius. She learns from the official Toyota web site that the official average mileage for all 2017 Prius is = 58.2 mpg with a standard deviation of = 1.2 mpg. Marjorie purchased a set of “hyper mileage” tires on-line that are supposed to improve gas mileage. For the next 100 fill ups, Marjorie noticed an average gas mileage of = 58.5 mpg. Help Marjorie perform a hypothesis test at a 1% level of significance to determine if her new tires actually improved her gas mileage.
Marjorie More Mileage is obsessed with getting the best gas mileage possible for her 2017 Toyota Prius. She learns from the official Toyota web site that the official average mileage for all 2017 Prius is = 58.2 mpg with a standard deviation of = 1.2 mpg. Marjorie purchased a set of “hyper mileage” tires on-line that are supposed to improve gas mileage. For the next 100 fill ups, Marjorie noticed an average gas mileage of = 58.5 mpg. Help Marjorie perform a hypothesis test at a 1% level of significance to determine if her new tires actually improved her gas mileage.
What is the null hypothesis?
What is the alternate hypothesis?
Is this a left tail, right tail, or two tail test?
Calculate the test statistic.
State your conclusion.
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