Question

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 varies a bit, with the N(12, 0.3) distribution. The process specifications call for applying a force between 11.2 and 12.2 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, μμ = 11.7 kg. The standard deviation remains 0.3 kg. What percent now meet the specifications?

Answer 1

In the first part variance is 0.3 but in the second part standard deviation is 0.3.