EBK OPERATIONS MANAGEMENT
EBK OPERATIONS MANAGEMENT
13th Edition
ISBN: 8220103675987
Author: Stevenson
Publisher: YUZU
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Chapter 10, Problem 6P
Summary Introduction

To determine: The upper and lower control limits for the fraction and decide if the process is in control.

Introduction: Quality is a measure of excellence or a state of being free from deficiencies, defects and important variations. It is obtained by consistent and strict commitment to certain standards to attain uniformity of a product to satisfy consumers’ requirement.

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An automatic filling machine is used to fill 1-liter bottles of cola.  The machine’s output is approximately normal with a mean of 1.0 liter and standard deviation of .01 liter. Output is monitored using means of samples of 25 observations.  Determine upper and lower control limits that will include roughly 97% of the sample means when the process is in control. Using Appendix B, Table A to find the value of Z corresponding to the mean control limits.
At Quick Car​ Wash, the wash process is advertised to take less than 8 minutes.​ Consequently, management has set a target average of 440 seconds for the wash process. Suppose the average range for a sample of 9 cars is 10 seconds. Use the accompanying table to establish control limits for sample means and ranges for the car wash process.   Factors for calculating​ three-sigma limits for the x​-chart and​ R-chart   Size of Sample​ (n) Factor for UCL and LCL for x​-chart ​(A2​) Factor for LCL for​ R-Chart ​(D3​) Factor for UCL for​ R-Chart ​(D4​) 2 1.880 0 3.267 3 1.023 0 2.575 4 0.729 0 2.282 5 0.577 0 2.115 6 0.483 0 2.004 7 0.419 0.076 1.924 8 0.373 0.136 1.864 9 0.337 0.184 1.816 10 0.308 0.223   Part 2 The UCLR equals enter your response here seconds and the LCLR equals enter your response here seconds. ​(Enter your responses rounded to two decimal​ places.)
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