Boxes of Honey-Nut Oatmeal are produced to contain 14.0 ounces, with a standard deviation of 0.10 ounce. For a sample size of 49, the 3-sigma x chart control limits are: Upper Control Limit (UCL) = Lower Control Limit (LCL;) = ounces (round your response to two decimal places). ounces (round your response to two decimal places).

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Boxes of Honey-Nut Oatmeal are produced to contain 14.0 ounces, with a standard deviation of 0.10 ounce. For a sample size of 49, the 3-sigma \(\bar{x}\) chart control limits are:

- **Upper Control Limit (UCL-\(\bar{x}\))** = [ ] ounces (round your response to two decimal places).

- **Lower Control Limit (LCL-\(\bar{x}\))** = [ ] ounces (round your response to two decimal places).

This text presents a scenario for determining control limits in a statistical process control setting for Honey-Nut Oatmeal packaging. The UCL and LCL should be computed using the formula for 3-sigma limits:

\[
UCL = \mu + 3 \left( \frac{\sigma}{\sqrt{n}} \right)
\]

\[
LCL = \mu - 3 \left( \frac{\sigma}{\sqrt{n}} \right)
\]

where:
- \(\mu\) is the mean weight (14.0 ounces),
- \(\sigma\) is the standard deviation (0.10 ounce),
- \(n\) is the sample size (49).
Transcribed Image Text:Boxes of Honey-Nut Oatmeal are produced to contain 14.0 ounces, with a standard deviation of 0.10 ounce. For a sample size of 49, the 3-sigma \(\bar{x}\) chart control limits are: - **Upper Control Limit (UCL-\(\bar{x}\))** = [ ] ounces (round your response to two decimal places). - **Lower Control Limit (LCL-\(\bar{x}\))** = [ ] ounces (round your response to two decimal places). This text presents a scenario for determining control limits in a statistical process control setting for Honey-Nut Oatmeal packaging. The UCL and LCL should be computed using the formula for 3-sigma limits: \[ UCL = \mu + 3 \left( \frac{\sigma}{\sqrt{n}} \right) \] \[ LCL = \mu - 3 \left( \frac{\sigma}{\sqrt{n}} \right) \] where: - \(\mu\) is the mean weight (14.0 ounces), - \(\sigma\) is the standard deviation (0.10 ounce), - \(n\) is the sample size (49).
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