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, Problem 65AP
Summary Introduction

Interpretation: Values of producer risk and consumer risk needs to be determined based on the given data.

Concept Introduction: Binomial distribution can be approximated to poisson distribution when sample size is large and percent defectives is very small.

Summary Introduction

Interpretation: Need to analyze benefit-loss situation for the manufacturer

Concept Introduction: Binomial distribution can be approximated to poisson distribution when sample size is large and percent defectives is very small.

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A sampling plan is desired to have a producer's risk of 0.10 at AQL -0.8% and a consumer's risk of 0.05 at LQL-7.5% nonconforming Find the single sampling plan that meets the consumer's stipulation and comes as close as possible to meeting the producer's stipulation.
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
An acceptance sampling plan is designed with n = 50 and c = 3. A random sample is collected from a shipment and assessed per this plan. Your inspector finds three defective items in the sample. What action should you take regarding this shipment? A. Accept the sample but reject the shipment B. Reject the entire shipment C. Reject the sample but accept the shipment D. Accept both the sample and shipment
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