Question

Computers in some vehicles calculate various quantities related to performance. One of these is the fuel efficiency, or gas mileage, usually expressed as miles per gallon (mpg). A particular vehicle equipped in this way is advertised as having a fuel efficiency of 41 mpg. A woman who owns one of these vehicles believes she is getting even higher fuel efficiency, so she recorded the mpg each time the gas tank was filled, and then reset the computer. For 18 recordings, the mean was 44.5 mpg with a standard deviation of 4.5 mpg. Assume the population of recordings is normally distributed. Using LaTeX: \alpha=0.05α = 0.05, does the data indicate that the woman's vehicle has a fuel efficiency higher than 41 mpg? find ho and ha, Compute the value of the test statistic, Determine the rejection region and What decision do you reach for this problem?

Answer 1