Operations and Supply Chain Management 9th edition
9th Edition
ISBN: 9781119320975
Author: Roberta S. Russell, Bernard W. Taylor III
Publisher: WILEY
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Question
Chapter 3, Problem 33P
Summary Introduction
To draw: The decision of the company whether to conduct the test market or not.
Introduction
Statistical process control is a statistical technique used to analyze the functioning of production process. It helps to determine the factors that leads to poor quality in the production process. It also determines the measures that has to be taken in order to correct the production process.
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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
.
The Road King Tire Company in Birmingham wants to moni-tor the quality of the tires it manufactures. Each day the com-pany quality-control manager takes a sample of 100 tires, tests
them, and determines the number of defective tires. The re-sults of 20 samples have been recorded as follows:Construct a p-chart for this process using 2 limits and for each of the last 30 weekdays are shown as follows:describe the variation in the process.
Sample Defectives Sample Defectives1 14 11 182 12 12 103 9 13 194 10 14 205 11 15 176 7 16 187 8 17 188 14 18 229 16 19 2410 17 20 23
Chapter 3 Solutions
Operations and Supply Chain Management 9th edition
Ch. 3.S - Prob. 1QCh. 3.S - Prob. 2QCh. 3.S - Prob. 3QCh. 3.S - Prob. 4QCh. 3.S - Prob. 5QCh. 3.S - Prob. 6QCh. 3.S - Prob. 7QCh. 3.S - The Great Lakes Company, a grocery store chain,...Ch. 3.S - Prob. 2PCh. 3.S - Prob. 3P
Ch. 3.S - The Fast Break Computer Company assembles personal...Ch. 3.S - Prob. 5PCh. 3 - Using Sampling and Statistics to Analyze...Ch. 3 - Prob. 2.1ASCCh. 3 - Prob. 3.1ASCCh. 3 - Prob. 4.1ASCCh. 3 - Prob. 5.1ASCCh. 3 - Prob. 1QCh. 3 - Prob. 2QCh. 3 - Prob. 3QCh. 3 - Prob. 4QCh. 3 - Prob. 5QCh. 3 - Prob. 6QCh. 3 - Prob. 7QCh. 3 - Prob. 8QCh. 3 - Prob. 9QCh. 3 - Prob. 10QCh. 3 - Prob. 11QCh. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - Elon Corporation manufactures parts for an...Ch. 3 - Prob. 42PCh. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Metropolitan General Hospital is a city-owned...Ch. 3 - Prob. 50PCh. 3 - Prob. 51PCh. 3 - The Shuler Motor Mile is a high-volume discount...Ch. 3 - Prob. 1.1CPCh. 3 - Prob. 2.1CPCh. 3 - Improving Service Time at Daves Burgers Daves...
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- Distinguish between a sampling error and a nonsampling error.How can each be reduced?arrow_forwardNeed help on calculating control limits for x-bar and r-chart based on the samples below: Sample No X-BAR (Sample Mean) R (Sample Range) X-BAR R 1 28.2151942 9.5450186 2 30.5767201 11.1032318 3 29.0253789 5.52221327 4 29.9431791 6.27087883 5 29.947177 12.7568255 6 29.6848334 11.4927456 7 29.2539019 4.72514932 8 29.6694257 13.9330532 9 30.1590205 6.33461804 10 28.6867307 6.49522527 11 30.5960109 8.13717125 12 29.4390565 5.80286433 13 31.863426 3.40227918 14 32.3716448 8.62217828 15 29.7052597 10.0026916 16 30.0060069 4.25003967 17 32.8491753 4.6515662 18 33.5023103 9.62764088 19 28.1876404 9.6980397 20 30.5043768 6.46724539 21 29.6856417 7.65071069 22 32.5728395 9.2483604 23 28.2363719 7.54975234 24 29.6579999 11.3224787 25 28.1319897 13.213391 26 28.8811004 8.08405181 27 31.6730765 12.9865678 28 28.2078142 5.96315947 29 27.9430689 7.39518992 30 29.6269815 9.48802129 31 34.3599108 7.66563648 32 28.2423234 7.34122645…arrow_forwardFor 50 consecutive days, a process engineer has measured the weight of acomponent after it has been coated with a special paint. Each day, she takes a sampleof 10 components. The average across all 500 components (50 days, 10 componentsper day) is 45.343018 grams. The standard deviation across all parts is 0.0076382 gram.When constructing an X-bar chart, what would be the center line and what would be thelines for the upper and lower control limits?arrow_forward
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- Under what circumstances should a c-chart be used insteadof a p-chart?arrow_forwardA machine at the Pacific Fruit Company fills boxes withraisins. The labeled weight of the boxes is 9 ounces. The company wants to construct an R-chart to monitor the fill-ing process and make sure the box weights are in control. The quality-control department for the company sampledfive boxes every two hours for three consecutive workingdays. The sample observations are as follows: Construct an R-chart from these data with 3 control lim-its, plot the sample range values, and comment on process control. Samples Box Weights (oz)1 9.06 9.13 8.97 8.85 8.462 8.52 8.61 9.09 9.21 8.953 9.35 8.95 9.20 9.03 8.424 9.17 9.21 9.05 9.01 9.535 9.21 8.87 8.71 9.05 9.356 8.74 8.35 8.50 9.06 8.897 9.00 9.21 9.05 9.23 8.788 9.15 9.20 9.23 9.15 9.069 9.98 8.90 8.81 9.05 9.1310 9.03 9.10 9.26 9.46 8.4711 9.53 9.02 9.11 8.88 8.9212 8.95 9.10 9.00 9.06 8.95arrow_forwardA 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?arrow_forward
- 3.2. The Road King Tire Company in Birmingham wants to moni- tor the quality of the tires it manufactures. Each day the company quality-control manager takes a sample of 100 tires, tests them, and determines the number of defective tires. The results of 20 samples have been recorded as follows: Number of Number of Sample Defectives Sample Defectives 1 14 11 18 12 12 10 9. 13 19 10 14 20 11 15 17 7 16 18 7 8 17 18 8 14 18 22 9. 16 19 24 10 17 20 23 3. 4,arrow_forwardAt 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.)arrow_forwardA control chart for fraction nonconforming is to be established using a center line of p=0.03. What sample size is required if we wish to detect a shift in the process fraction nonconforming to 0.08 with probability 0.50? 1269 475 73 316 216 2 105 150 265arrow_forward
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