The overall average on a process you are attempting to monitor is 60.0 units. The process population standard deviation is 1.72. Sample size is given to be 4. a) Determine the 3-sigma x-chart control limits. Upper Control Limit (UCL) = Lower Control Limit (LCL-) = units (round your response to two decimal places). units (round your response to two decimal places). b) Now determine the 2-sigma x-chart Upper Control Limit (UCL) = Lower Control Limit (LCL) = control limits. units (round your response to two decimal places). units (round your response to two decimal places).
The overall average on a process you are attempting to monitor is 60.0 units. The process population standard deviation is 1.72. Sample size is given to be 4. a) Determine the 3-sigma x-chart control limits. Upper Control Limit (UCL) = Lower Control Limit (LCL-) = units (round your response to two decimal places). units (round your response to two decimal places). b) Now determine the 2-sigma x-chart Upper Control Limit (UCL) = Lower Control Limit (LCL) = control limits. units (round your response to two decimal places). units (round your response to two decimal places).
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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![The overall average on a process you are attempting to monitor is 60.0 units. The process population standard deviation is 1.72. Sample size is given to be 4.
a) Determine the 3-sigma x̄-chart control limits.
- Upper Control Limit (UCL\(_{\bar{x}}\)) = [ ] units (round your response to two decimal places).
- Lower Control Limit (LCL\(_{\bar{x}}\)) = [ ] units (round your response to two decimal places).
b) Now determine the 2-sigma x̄-chart control limits.
- Upper Control Limit (UCL\(_{\bar{x}}\)) = [ ] units (round your response to two decimal places).
- Lower Control Limit (LCL\(_{\bar{x}}\)) = [ ] units (round your response to two decimal places).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a44212c-b8b1-4ff0-bde6-3e570916b708%2F42f3c2ca-a84a-486f-877b-cff611da3d5c%2F7x2j94_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The overall average on a process you are attempting to monitor is 60.0 units. The process population standard deviation is 1.72. Sample size is given to be 4.
a) Determine the 3-sigma x̄-chart control limits.
- Upper Control Limit (UCL\(_{\bar{x}}\)) = [ ] units (round your response to two decimal places).
- Lower Control Limit (LCL\(_{\bar{x}}\)) = [ ] units (round your response to two decimal places).
b) Now determine the 2-sigma x̄-chart control limits.
- Upper Control Limit (UCL\(_{\bar{x}}\)) = [ ] units (round your response to two decimal places).
- Lower Control Limit (LCL\(_{\bar{x}}\)) = [ ] units (round your response to two decimal places).
![**Determining 2-Sigma X-Chart Control Limits**
b) Now determine the 2-sigma \(\bar{x}\)-chart control limits.
- Upper Control Limit (\(UCL_{\bar{x}}\)) = [ ] units *(round your response to two decimal places).*
- Lower Control Limit (\(LCL_{\bar{x}}\)) = [ ] units *(round your response to two decimal places).*
**How do the control limits change?**
- **A.** The control limits are tighter for the 3-sigma \(\bar{x}\)-chart than for the 2-sigma \(\bar{x}\)-chart.
- **B.** The control limits for the 2-sigma \(\bar{x}\)-chart and for the 3-sigma \(\bar{x}\)-chart are the same.
- **C.** The control limits are tighter for the 2-sigma \(\bar{x}\)-chart than for the 3-sigma \(\bar{x}\)-chart.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a44212c-b8b1-4ff0-bde6-3e570916b708%2F42f3c2ca-a84a-486f-877b-cff611da3d5c%2Fntv4lbt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Determining 2-Sigma X-Chart Control Limits**
b) Now determine the 2-sigma \(\bar{x}\)-chart control limits.
- Upper Control Limit (\(UCL_{\bar{x}}\)) = [ ] units *(round your response to two decimal places).*
- Lower Control Limit (\(LCL_{\bar{x}}\)) = [ ] units *(round your response to two decimal places).*
**How do the control limits change?**
- **A.** The control limits are tighter for the 3-sigma \(\bar{x}\)-chart than for the 2-sigma \(\bar{x}\)-chart.
- **B.** The control limits for the 2-sigma \(\bar{x}\)-chart and for the 3-sigma \(\bar{x}\)-chart are the same.
- **C.** The control limits are tighter for the 2-sigma \(\bar{x}\)-chart than for the 3-sigma \(\bar{x}\)-chart.
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