Fuel economy estimates for automobiles built one year predicted a mean of 25.8 m

Question

Fuel economy estimates for automobiles built one year predicted a mean of 25.8 mpg and a standard deviation of 7.2 mpg for highway driving. Assume that a Normal model can be applied. Use the 68-95-99.7 Rule to complete parts a) through e). a) Draw the model for auto fuel economy. O A O c. -15 18. 22.2258294 33 366 b) In what interval would you expect the central 99.7% of autos to be found? Using the 68 95-99.7 rule, the central 99.7% of autos can be expected to be found in the interval from to mpg. (Do not round. Type integers or decimals.) c) About what percent of autos should get more than 33 mpg? Using the 68-95-99.7 rule about % of autos should get more than 33 mpg. (Do not round. Type an integer or a decimal.) d) About what percent of autos should get between 33 and 40.2 mpg? Using the 6895 997 rule, about % of autos should get between 33 and 402 mpg (Do not round. Type an integer or a decimal.) e) Describe the gas mileage of the best 2.5% of cars.

Explanation / Answer

a) Graph A is correct.

b) 99.7% of the values should be in the interval (25.8 - 3*7.2) and (25.8 + 3*7.2) i.e. 4.2 to 47.4 mpg

c) 16% of autos should get more than 33 mpg.

d) 13.5% of autos should get between 33 and 40.2 mpg.

e) Gas mileage of the best 2.5% of the cars = 40.2 mpg

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