A car manufacturer advertises that its new subcompact models get 47 miles per gallon (mpg). Let μ


Question: A car manufacturer advertises that its new subcompact models get 47 miles per gallon (mpg). Let \[\mu \] be the mean of the mileage distribution for these cars. You assume that the dealer will not underrate these cars, but you suspect that the mileage might be overrated. You are allowed to test drive 41 cars, resulting in a mean gas mileage of 45.23 mpg with a standard deviation of 3.14 mpg. All mileage tests refer to open-road (unimpeded) driving. Test your suspicion at a 5% significance level. Assume all statistical requirements are satisfied..

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