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 with a normal distribution that has a mean of 40.7 kg and standard deviation of 2.6.
The process specifications call for applying a force between 36.3 and 45.1 kg.

The manufacturer needs that at least 99 percent of tablets meet the specification. He can adjust the process so that standard deviation is at specific rates while the mean remains the same mean = 40.7 kg.
What should be standard deviation of the forces so that 99 percent of tablets meet the specification?

Answer 1