Operations Management: Processes and Supply Chains (12th Edition) (What's New in Operations Management)
Operations Management: Processes and Supply Chains (12th Edition) (What's New in Operations Management)
12th Edition
ISBN: 9780134741062
Author: Lee J. Krajewski, Manoj K. Malhotra, Larry P. Ritzman
Publisher: PEARSON
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Chapter 3, Problem 4P
Summary Introduction

Interpretation: A control chart is used to detect the variations in a process.

Concept introduction:

A mean control chart (x¯) is based on nominal distribution. The means are in the control limits which is derived from the value of standard deviation of a process σ which is often known.

R charts are utilized to monitor the variation of a procedure based on samples brought from the process at a provided period. Variable shiftsare measures and detected by R charts. To monitor the variation the processR charts control limits may be applied.

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Aspen Plastics produces plastic bottles to customer order.The quality inspector randomly selects four bottles fromthe bottle machine and measures the outside diameter ofthe bottle neck, a critical quality dimension that determineswhether the bottle cap will fit properly. The dimensions(inch) from the last six samples are Assume that only these six samples are sufficient, and use thedata to determine control limits for an R- and an x-chart.
2- Quality Control Charts A local brewery and bottling plant wants to keep track of the bottling filling equipment's accuracy, Bottles are to be filled with exactly 16 ounces of the drink. The following is data from the bottling equipment where 5 samples of bottles filled were pulled every hour and measured for actual quantity filled. 1- Calculate the UCL, LCL and mean for the X-bar and R data 2- Draw an X-Bar chart and a R chart. 3- Is this filling process in control or out of control? Hour X-bar R 1 16.05 .20 2 16.03 3 15.96 4 15.97 16.03 16.06 15.98 16.09 15.94 16.01 5 6 7 8 9 10 @n-5: A2 = 0.58, D3 =0, D4 = 2.11 .25 .62 .58 .71 .37 .46 .21 .35 .29
An e-commerce website has received some complaints on Billing errors. Managers ask the accounting department to monitor the shipping process and make sure of the quality in their process. To monitor the process, for 10 consecutive weeks, they look into the first 100 shipments and count the number of Billing errors as shown in table below: 45 52 6 3 63 7 8 9 10 1 6 1 2 Construct a two-sigma limit control chart to show whether the shipping process in this e-commerce firm needs any improvement or performs at an acceptable level. (Round your answer to three decimal places.) Week 1 2 3 Number of Billing errors. 5 1 3 Upper Control Limit Lower Control Limit
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