The weights of canned hams processed at the Henline Ham Company follow the normal distribution, with a mean of 3.1 kg and a standard deviation of 0.125 kg. The label weight is given as 3 kg.
a. What proportion of the hams actually weigh less than the amount claimed on the label?
b. The owner, Glen Henline, is considering two proposals to reduce the proportion of hams below label weight. He can increase the mean weight to 3.15 kg and leave the standard deviation the same, or he can leave the mean weight at 3.1 kg and reduce the standard deviation from 0.125 kg to 0.10 kg. Which change would you recommend?