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...

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.

Jun 07, 2022

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