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...


A pharmaceutical manufacturer forms tablets by compressing a granular material that<br>contains the active ingredient and various fillers. The force in kilograms (kg) applied to the<br>tablet varies a bit and follows the Normal distribution with mean 11.5 kg and standard<br>deviation 0.2 kg. The process specifications call for applying a force between 11.2 and 12.2<br>kg.<br>i.<br>What percent of tablets are subject to a force that meets the specifications?<br>ii.<br>The manufacturer adjusts the process so that the mean force is at uie center<br>of the specifications, u = 11.7 kg. The standard deviation remains 0.2 kg.<br>What percent now meets the specifications?<br>iii.<br>Calculate the 25th percentile (P2s) and the 75th percentile (P7s) of the<br>distribution.<br>

Extracted text: 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 uie center of the specifications, u = 11.7 kg. The standard deviation remains 0.2 kg. What percent now meets the specifications? iii. Calculate the 25th percentile (P2s) and the 75th percentile (P7s) of the distribution.

Jun 05, 2022
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