OPERATIONS MANAGEMENT W/ CNCT+
OPERATIONS MANAGEMENT W/ CNCT+
12th Edition
ISBN: 9781259574931
Author: Stevenson
Publisher: MCG CUSTOM
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Chapter 10, Problem 2P

a)

Summary Introduction

To determine: The upper and lower control limits.

Introduction:

Control chart:

It is a graph used to analyze the process change over a time period. A control chart has a upper control limit, and lower control which are used plot the time order.

b)

Summary Introduction

To determine: Whether the process is in a controlled state.

Introduction:

Control chart:

It is a graph used to analyze the process change over a time period. A control chart has a upper control limit, and lower control which are used plot the time order.

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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.
Your supervisor, Lisa Lehmann, has asked that you report on the output of a machine on the factory floor. This machine is supposed to be producing optical lenses with a meanweight of 50 grams and a range of 3.5 grams. The following table contains the data for a sample size of n = 6 taken during the past 3 hours:                                                                                                                                                                                                                                                          a) What are the :X-chart control limits when the machine is working properly?b) What are the R-charL control limits when the machine is working properly?c) What seems to be happening? (Hint: Graph the data points. Run charts may be helpful.)
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