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).

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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).
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.
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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