A pharmaceutical manufacturer forms tablets by compressing a granular material thatcontains the active ingredient and various fillers. The force in kilograms (kg) applied to thetablet 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 12.2kgWhat percent of tablets are subject to a force that meets the specifications?The manufacturer adjusts the process so that the mean force is at the centerof 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 thedistribution.

The Normal distribution curve equation can be written using mean and standard deviation as

Answered: A pharmaceutical manufacturer forms…

Introduction to Chemical Engineering Thermodynamics

8th Edition

ISBN:9781259696527

Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Chapter1: Introduction

Section: Chapter Questions

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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 12.2kg

What percent of tablets are subject to a force that meets the specifications?
1. 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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