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Based on the x-chart, is one or more samples beyond the control limits? Yes No

Based on the x-chart, is one or more samples beyond the control limits? Yes No

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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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 x̄ (x-bar) and R charts are: - Upper Control Limit for x̄ (UCLx̄) = 4.86 - Lower Control Limit for x̄ (LCLx̄) = 4.52 - Upper Control Limit for R (UCLR) = 1.344 - Lower Control Limit for R (LCLR) = 0 Over the past few days, they have taken five random samples of four loaves each and have found the following: | Sample | Loaf #1 | Loaf #2 | Loaf #3 | Loaf #4 | |--------|--------|--------|--------|--------| | 1 | 4.8 | 4.7 | 5.0 | 4.7 | | 2 | 4.4 | 4.8 | 4.7 | 4.8 | | 3 | 4.5 | 4.9 | 4.9 | 4.6 | | 4 | 4.6 | 4.5 | 4.7 | 4.5 | | 5 | 5.0 | 4.8 | 4.7 | 4.6 | Question: Based on the x̄-chart, is one or more samples beyond the control limits? Options: - Yes - No (Note: An interactive component seems to allow the selection between "Yes" or "No," though the current selection is redacted.) This data is part of a quality control process ensuring that products meet specific standards. The x̄-chart and R-chart are tools used to monitor the variation of the weights over time and ensure consistency in the production process.
Transcribed Image Text: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 x̄ (x-bar) and R charts are: - Upper Control Limit for x̄ (UCLx̄) = 4.86 - Lower Control Limit for x̄ (LCLx̄) = 4.52 - Upper Control Limit for R (UCLR) = 1.344 - Lower Control Limit for R (LCLR) = 0 Over the past few days, they have taken five random samples of four loaves each and have found the following: | Sample | Loaf #1 | Loaf #2 | Loaf #3 | Loaf #4 | |--------|--------|--------|--------|--------| | 1 | 4.8 | 4.7 | 5.0 | 4.7 | | 2 | 4.4 | 4.8 | 4.7 | 4.8 | | 3 | 4.5 | 4.9 | 4.9 | 4.6 | | 4 | 4.6 | 4.5 | 4.7 | 4.5 | | 5 | 5.0 | 4.8 | 4.7 | 4.6 | Question: Based on the x̄-chart, is one or more samples beyond the control limits? Options: - Yes - No (Note: An interactive component seems to allow the selection between "Yes" or "No," though the current selection is redacted.) This data is part of a quality control process ensuring that products meet specific standards. The x̄-chart and R-chart are tools used to monitor the variation of the weights over time and ensure consistency in the production process.
Expert Solution
Given information

Control limits for x-bar chart:

UCL = 4.86
LCL = 4.52

 

Control limits for R chart:

UCL = 1.344
LCL = 0

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