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

Question

Quizplus · Accepted Answer

To calculate the range of values that 99.73% of cars will purchase, we need to find the range that is within three standard deviations of the mean:

$15 + (3 * $4) = $27
$15 - (3 * $4) = $3

However, this only tells us that 99.73% of cars will purchase between $3 and $27 if the distribution is normal, which is not stated in the problem. Therefore, we cannot make this conclusion with certainty.

If the Amount of Gasoline Purchased Per Car at a Large