A pharmaceutical manufacturer forms tablets by compressing a granular material that contains the active ingredient and various fillers. The force in kilograms (kg) applied to the tablets vanes a bit, with the N(11.9, 0.2) distribution. The process specifications call for applying a force between 11.3 and 12.3 kg. (a) What percent of tablets are subject to a force that meets the specifications? %
(b) The manufacturer adjusts the process so that the mean force is at the center of the specifications, mu = 11.8 kg. The standard deviation remains 0.2 kg. What percent now meet the specifications? %