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 tablet varies a bit and follows the Normal distribution with mean 11.5 kg and standard deviation 0.2 kg. The process specifications call for applying a force between 11.2 and 12.2 kg. i. What percent of tablets are subject to a force that meets the specifications? ii. The manufacturer adjusts the process so that the mean force is at the center of the specifications, μ = 11.7 kg. The standard deviation remains 0.2 kg. What percent now meets the specifications? iii. Calculate the 25th percentile (P25) and the 75th percentile (P75) of the
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
tablet varies a bit and follows the
deviation 0.2 kg. The process specifications call for applying a force between 11.2 and 12.2
kg.
i. What percent of tablets are subject to a force that meets the specifications?
ii. The manufacturer adjusts the process so that the mean force is at the center
of the specifications, μ = 11.7 kg. The standard deviation remains 0.2 kg.
What percent now meets the specifications?
iii. Calculate the 25th percentile (P25) and the 75th percentile (P75) of the
distribution.
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