An oatmeal manufacturer sells oatmeal in packages labeled "16 ounces". The machine they use to fill the packages is set to follow a normal distribution with a mean of 16.25 ounces and a standard deviation of 0.2 ounces. What percentage of the packages will be underweight (less than 16 ounces)?

1. The lawyers are not happy. They want only 4% of the customers to get underweight boxes. What should the mean amount of oatmeal that the machine should be set to fill at be?
2. Now the CEO is not happy. He thinks it is too costly to give away so much oatmeal. He wants the production people to set the machine mean at 16.2 ounces and still wants only 4% of the customers to get underweight boxes. How can this be achieved keeping the package label amount to 16 ounces?