If the amount of gasoline purchased per car at a large service station has a population mean of 15 gallons and a population standard deviation of 4 gallons,then 99.73% of all cars will purchase between 3 and 27 gallons.

Question

Quizplus · Accepted Answer

To find the range of gasoline purchased that includes 99.73% of all cars, we need to look at three standard deviations from the mean:
- Three standard deviations above the mean: 15 + 3(4) = 27
- Three standard deviations below the mean: 15 - 3(4) = 3
So the range that includes 99.73% of all cars is from 3 to 27 gallons.

However, we cannot say for certain that all cars will purchase gasoline within this range. The statement "99.73% of all cars will purchase between 3 and 27 gallons" is too strong and cannot be supported by the given information. We can only say that 99.73% of the cars in the population are expected to fall within this range.

If the Amount of Gasoline Purchased Per Car at a Large