Principles Of Operations Management
11th Edition
ISBN: 9780135173930
Author: RENDER, Barry, HEIZER, Jay, Munson, Chuck
Publisher: Pearson,
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Chapter 6.S, Problem 9P
Summary Introduction
To determine: Whether the process is in control.
Introduction: Control charts used to determine whether the process is under control or not. Attributes and variables are the factors under the control charts.
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Organic Grains LLC uses statistical process control to ensure that its health-conscious, low-fat, multigrain sandwich loaves have the proper weight.
Based on a previously stable and in-control process, the control limits of the x- and R-charts are:
UCL-4.86, LCL- = 4.52,
UCLR=1.344, LCLR = 0.
Over the past few days, they have taken five random samples of four loaves each and have found the following:
Based on the x-chart, is one or more samples beyond the control limits?
Sample
1
2
3
4
5
Yes
No
Loaf # 1
4.8
4.4
4.5
4.6
5.0
Net Weight
Loaf # 2
4.7
4.8
4.5
4.9
4.8
Loaf # 3
5.0
4.7
4.9
4.7
4.7
Loaf # 4
4.7
4.8
4.6
4.5
4.6
4.
Organic Grains LLC uses statistical process control to ensure that its health-conscious, low-fat, multigrain sandwich loaves have the proper weight.
Based on a previously stable and in-control process, the control limits of the
x-
and R-charts are:
UCLx
=
5.35,
LCLx
=
4.93;
UCLR
=
0.894,
LCLR
=
0.
Over the past few days, they have taken five random samples of four loaves each and have found the following:
Net Weight
Sample
Loaf # 1
Loaf # 2
Loaf # 3
Loaf # 4
1
4.9
5.2
5.1
5.0
2
5.3
5.1
5.2
5.3
3
4.9
5.2
4.9
5.2
4
5.5
5.5
5.3
5.5
5
5.3
5.2
5.3
5.0
Part 2
Based on the
x-chart,
is one or more samples beyond the control limits?
▼
No
Yes
.
A process filling small bottles with baby formula has a target of 3ounces ± 0.150 ounce. Two hundred bottles from the process were sampled. The results showed the average amount of formula placed in the bottles to be 3.042 ounces. The standard deviation of the amounts was
0.034 ounce. Determine the value of Cpk. Roughly what proportion of bottles meet the specifications?
The process capability index (Cpk) is ?? enter your response here (round your response to three decimal places).▼
Slightly more than 80 , 99.99, 99.73, 9095.45 ?? %of the bottles meet the specifications.
Which of the number above is slightly more than?
Chapter 6 Solutions
Principles Of Operations Management
Ch. 6.S - Prob. 1DQCh. 6.S - Define in statistical control.Ch. 6.S - Prob. 3DQCh. 6.S - Prob. 4DQCh. 6.S - Prob. 5DQCh. 6.S - Prob. 6DQCh. 6.S - Prob. 7DQCh. 6.S - Prob. 8DQCh. 6.S - Prob. 9DQCh. 6.S - Prob. 10DQ
Ch. 6.S - Prob. 11DQCh. 6.S - Prob. 12DQCh. 6.S - Prob. 13DQCh. 6.S - Prob. 14DQCh. 6.S - Prob. 15DQCh. 6.S - Prob. 16DQCh. 6.S - Prob. 17DQCh. 6.S - Prob. 18DQCh. 6.S - Prob. 19DQCh. 6.S - Prob. 1PCh. 6.S - Prob. 2PCh. 6.S - Prob. 3PCh. 6.S - Prob. 4PCh. 6.S - Prob. 5PCh. 6.S - Prob. 6PCh. 6.S - Prob. 7PCh. 6.S - Prob. 8PCh. 6.S - Prob. 9PCh. 6.S - Prob. 10PCh. 6.S - Prob. 11PCh. 6.S - Prob. 12PCh. 6.S - Prob. 13PCh. 6.S - Prob. 14PCh. 6.S - Prob. 15PCh. 6.S - Prob. 16PCh. 6.S - Prob. 17PCh. 6.S - Prob. 18PCh. 6.S - Prob. 19PCh. 6.S - Prob. 20PCh. 6.S - Prob. 21PCh. 6.S - Prob. 22PCh. 6.S - Prob. 23PCh. 6.S - Prob. 24PCh. 6.S - Prob. 25PCh. 6.S - Prob. 28PCh. 6.S - Prob. 29PCh. 6.S - Prob. 30PCh. 6.S - Prob. 32PCh. 6.S - Prob. 33PCh. 6.S - Prob. 34PCh. 6.S - Prob. 35PCh. 6.S - Prob. 36PCh. 6.S - Prob. 37PCh. 6.S - Prob. 39PCh. 6.S - Prob. 40PCh. 6.S - Prob. 41PCh. 6.S - Prob. 42PCh. 6.S - Prob. 43PCh. 6.S - Prob. 44PCh. 6.S - Prob. 45PCh. 6.S - Prob. 46PCh. 6.S - Prob. 48PCh. 6.S - Prob. 49PCh. 6.S - Prob. 50PCh. 6.S - Prob. 51PCh. 6.S - Prob. 52PCh. 6.S - Prob. 53PCh. 6.S - Prob. 54PCh. 6.S - Prob. 55PCh. 6.S - Prob. 1CSCh. 6.S - Prob. 2CSCh. 6.S - Prob. 1.1VCCh. 6.S - Prob. 1.2VCCh. 6.S - Prob. 1.3VCCh. 6.S - Prob. 2.1VCCh. 6.S - Prob. 2.2VCCh. 6.S - Prob. 2.3VCCh. 6.S - Prob. 2.4VCCh. 6 - Prob. 1EDCh. 6 - Prob. 1DQCh. 6 - Prob. 2DQCh. 6 - Prob. 3DQCh. 6 - Prob. 4DQCh. 6 - Prob. 5DQCh. 6 - Prob. 6DQCh. 6 - Prob. 7DQCh. 6 - Prob. 8DQCh. 6 - Prob. 9DQCh. 6 - Prob. 10DQCh. 6 - Prob. 11DQCh. 6 - Prob. 12DQCh. 6 - Prob. 13DQCh. 6 - Prob. 14DQCh. 6 - Prob. 15DQCh. 6 - Prob. 16DQCh. 6 - Prob. 17DQCh. 6 - Prob. 18DQCh. 6 - An avant-garde clothing manufacturer runs a series...Ch. 6 - Prob. 2PCh. 6 - Prob. 3PCh. 6 - Prob. 4PCh. 6 - Kathleen McFaddens restaurant in Boston has...Ch. 6 - Prob. 6PCh. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - Prob. 10PCh. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - Prob. 17PCh. 6 - Prob. 18PCh. 6 - Prob. 19PCh. 6 - Prob. 20PCh. 6 - Prob. 21PCh. 6 - Prob. 1CSCh. 6 - Prob. 2CSCh. 6 - Prob. 3CSCh. 6 - Prob. 1.1VCCh. 6 - Prob. 1.2VCCh. 6 - Prob. 1.3VCCh. 6 - Prob. 1.4VCCh. 6 - Prob. 2.1VCCh. 6 - Prob. 2.2VCCh. 6 - Prob. 2.3VCCh. 6 - Prob. 2.4VCCh. 6 - Prob. 3.1VCCh. 6 - Prob. 3.2VCCh. 6 - Prob. 3.3VCCh. 6 - Prob. 3.4VCCh. 6 - Prob. 3.5VC
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- A process filling small bottles with baby formula has a target of 3.1 ounces, plus or minus 0.255 ounce. Two hundred bottles from the process were sampled. The results showed the average amount of formula placed in the bottles to be 3.050 ounces. The standard deviation of the amounts was 0.068 ounce. Determine the value of Upper C Subscript pk. Roughly what proportion of bottles meet the specifications? The process capability index is (round your response to three decimal places).arrow_forwardUsing samples of 197 credit card statements, an auditor found the following: Sample 1 3 errors Sample 2 3 errors Sample 3 5 errors Sample 4 9 errors 1. what alpha risk would control limits of .0470 and .0038 provide? 2. Using control limits of .0470 and .0038, is the process in control? 3. Construct a control chart for the process, assuming a fraction defective of 2 percent, using two-sigma control limits. Is the process in control?arrow_forwardUsing samples of 200 credit card statements, an auditor found the following: Sample 1 2 3 4 Number with errors 4 2 5 9 a. Determine the fraction defective in each sample. b. If the true fraction defective for this process is unknown, what is your estimate of it? c. What is your estimate of the mean and standard deviation of the sampling distribution of fractions defective for samples of this size? d. What control limits would give an alpha risk of .03 for this process? Page 457 e. What alpha risk would control limits of .047 and .003 provide? f. Using control limits of .047 and .003, is the process in control? g. Suppose that the long-term fraction defective of the process is known to be 2 percent. What are the values of the mean and standard deviation of the sampling distribution? h. Construct a control chart for the process, assuming a fraction defective of 2 percent, using two-sigma control limits. Is the process in control? Can you show me the steps and formulas using excelarrow_forward
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