Production and Operations Analysis, Seventh Edition
Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 12.10, Problem 38P
Summary Introduction

Interpretation:

A double sampling plan for CDs that achieves α=0.10 and β=0.10 .

Concept Introduction:

Probability Distribution Function is a likelihood of an event to occur for discrete random variables. Graphically, it shows how likely variables will fall under the probability area.

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Arana is a company that produces homemade Rotini pasta. They use statistical process control to monitor the manufacturing process. The company collects five samples, each containing six packs of pasta. Below is the sample data, but the standard deviation of the process output is unknown. If an R chart is created using three-sigma limits (i.e., z = 3) to monitor the variability of products, what would be the upper control limit for this R chart? Sample 1 Sample 2 Sample 3 Pack 1 452.3 451.6 448.6 Sample 4 454.7 Sample 5 448.9 7.614 9.328 11.653 13.427 Pack 2 452.8 451.2 455.6 451.7 453.4 Pack 3 456 454.6 456.5 451 456.7 Pack 4 457.2 455.3 451.9 452.6 456.3 Pack 5 457.8 452.2 455.6 454.7 452.4 Pack 6 451.8 451.9 448.3 458.4 456
At Isogen​ Pharmaceuticals, the filling process for its asthma inhaler is set to dispense 170 milliliters​ (ml) of steroid solution per container. The average range for a sample of 4 containers is 5 ml. Use the accompanying table to establish control limits for sample means and ranges for the filling process.   Click the icon to view the table of factors for calculating​ three-sigma limits for the x​-chart and​ R-chart. The UCLR equalsz____________ml and the LCLR equals _________________ml. ​(Enter your responses rounded to two decimal​ places.)
How many ppm defective parts would be expected in a +/- 4 sigma normally distributed unstable process? Assume the mean shifted by +/- 1.5σ from the target.
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