The fill amount in 1 liter soft drink bottles is normally distributed with a mean of 1 0 liter and a standard deviation of 0 05 liter If bottles contain less than 94 of the listed net content 0 94 liters in this case the manufacturer may be subject to penalty by the state office of consumer affairs Bottles that have a net content above 1 09 liters may cause excess spillage upon opening In an effort to reduce the number of bottles that contain less than 0 94 liter the bottler sets the filling machine so that the mean is 1 02 liters Under these circumstances complete parts a through e below CITE