11a. You may need to use the appropriate appendix table or technology to answer this question. Product filling weights are normally distributed with a mean of 450 grams and a standard deviation of 30 grams. (a) - Develop the control limits for the x chart for a sample of size 10. (Round your answers to two decimal places.) UCL=? LCL=? - Develop the control limits for the x chart for a sample of size 20. (Round your answers to two decimal places.) UCL=? LCL=? - Develop the control limits for the x chart for a sample of size 30. (Round your answers to two decimal places.) UCL=? LCL=? (b) What happens to the control limits as the sample size is increased? - The LCL comes closer to the process mean and the UCL moves farther from the process mean as the sample size is increased. - Both control limits move farther from the process mean as the sample size is increased. - Both control limits come closer to the process mean as the sample size is increased.The sample size does not affect the control limits. - The UCL comes closer to the process mean and the LCL moves farther from the process mean as the sample size is increased. (c) What happens when a Type I error is made? - The process will be declared in control and allowed to continue when the process is actually out of control. - The process will be declared out of control and adjusted when the process is actually in control.

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11a. You may need to use the appropriate appendix table or technology to answer this question.
Product filling weights are normally distributed with a mean of 450 grams and a standard deviation of 30 grams.
(a)
- Develop the control limits for the x chart for a sample of size 10. (Round your answers to two decimal places.)
UCL=? LCL=?
- Develop the control limits for the x chart for a sample of size 20. (Round your answers to two decimal places.)
UCL=? LCL=?
- Develop the control limits for the x chart for a sample of size 30. (Round your answers to two decimal places.)
UCL=? LCL=?
(b)
What happens to the control limits as the sample size is increased?
- The LCL comes closer to the process mean and the UCL moves farther from the process mean as the sample size is increased.
- Both control limits move farther from the process mean as the sample size is increased.
- Both control limits come closer to the process mean as the sample size is increased.The sample size does not affect the control limits.
- The UCL comes closer to the process mean and the LCL moves farther from the process mean as the sample size is increased.
(c)
What happens when a Type I error is made?
- The process will be declared in control and allowed to continue when the process is actually out of control.
- The process will be declared out of control and adjusted when the process is actually in control.   
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