(solution) 1. The Varden Packaging Company has a contract to fill 50 gallon

(solution) 1. The Varden Packaging Company has a contract to fill 50 gallon

1. The Varden Packaging Company has a contract to fill 50 gallon barrels with gasoline for use by the U.S. Army. The machine that Varden uses has an adjustable device that allows the average fill per barrel to be adjusted as desired. However, the actual distribution of fill volume from the machine is known to be normally distributed with a standard deviation equal to 0.5 gallons. The contract that Varden has with the military calls for no more than 2 percent of all barrels to contain less than 49.2 gallons of gasoline. What should mean be set in order to meet this requirement?