The boxes of Corn Flakes in Exercises 9.189 and 9.190 that have more than 14.2 oz of cereal are being considered “too full.” Since the weights appear to be normally distributed for both filling machines, use the normal distribution and find the following information for the manager.
a. What proportion of the boxes filled by the current machine fill the boxes with too much cereal?
b. What proportion of the boxes filled by the new machine fill the boxes with too much cereal?
c. For every 1000 boxes of cereal filled by the current machine, how many boxes can be filled by the new machine using the same total amount of cereal?
d. Summarize what you believe should be the manager’s pitch to the company for getting the new filling machine