CONNECT F/OPERATIONS MGMT
14th Edition
ISBN: 9781264344963
Author: Stevenson
Publisher: INTER MCG
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Chapter 10, Problem 2P
(a)
Summary Introduction
To determine: The upper and lower control limits that include roughly 97% of the sample means when an automatic machine filled a one-liter bottle of cola with a mean of 1 liter, a standard deviation of 0.1 liters, and samples of 25 observations are used to monitor the output.
Introduction: To monitor the process dispersion, range control charts are used and the mean control limit charts are based on a
(b)
Summary Introduction
To determine: Whether the process is in control at the sample means: 1.005, 1.001, .998, 1.002, .995, .999 when an automatic machine filled a one-liter bottle of cola with a mean of 1 liter, a standard deviation of 0.1 liters and samples of 25 observations are used to monitor the output.
Introduction: To monitor the process dispersion, range control charts are used and the mean control limit charts are based on a normal distribution.
(c)
Summary Introduction
To determine: Whether the process is in control at sample means of 1.003, .999, .997, 1.002, .998, and 1.004. when an automatic machine filled a one-liter bottle of cola with a mean of 1 liter, a standard deviation of 0.1 liters and samples of 25 observations are used to monitor the output.
Introduction: To monitor the process dispersion, range control charts are used and the mean control limit charts are based on a normal distribution.
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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.
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 a standard deviation of .01 liter. Output is monitoredusing means of samples of 25 observations.a. Determine upper and lower control limits that will include roughly 97 percent of the samplemeans when the process is in control.
A process considered to be in control measures an ingredient in ounces. A quality inspector took 10 samples, each with 5 observations as follows: SEE ATTACHED PHOTO
Using this information, obtain three-sigma (i.e., z=3) control limits for a mean control chart and control limits for a range chart, respectively. It is known from previous experience that the standard deviation ofthe process is 1.36.
Chapter 10 Solutions
CONNECT F/OPERATIONS MGMT
Ch. 10.2 - Prob. 1.1RQCh. 10.2 - Prob. 1.2RQCh. 10.4 - Prob. 1.1RQCh. 10.4 - Prob. 1.2RQCh. 10 - Prob. 1DRQCh. 10 - Prob. 2DRQCh. 10 - Prob. 3DRQCh. 10 - Prob. 4DRQCh. 10 - Prob. 5DRQCh. 10 - Prob. 6DRQ
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