Question: The weights of canned hams processed at Henline Ham Company follow the normal distribution, with a mean of 9.20 pounds and a standard deviation of 0.25 pounds. The label weight is given as 9.00 pounds.

(a) What proportion of the hams actually weigh less than the amount claimed on the label? (Round your answer to 2 decimal places. Omit the "%" sign in your response.)

(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 9.25 and leave the standard deviation the same, or he can leave the mean weight at 9.20 and reduce the standard deviation from 0.25 pounds to 0.15. For each option, calculate the probability of a ham actually weighing less than the amount claimed on the label. (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)

What is the probability if you Increase the mean?

what is the probability if you Reduce the Standard deviation?