11. [-/13 Points) DETAILS ASWSBE14 21.E.017. MY NOTES ASK YOUR TEACHER You may need to use the appropriate appendix tabl

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11 13 Points Details Aswsbe14 21 E 017 My Notes Ask Your Teacher You May Need To Use The Appropriate Appendix Tabl 1 (103.54 KiB) Viewed 25 times

11. [-/13 Points) DETAILS ASWSBE14 21.E.017. MY NOTES ASK YOUR TEACHER You may need to use the appropriate appendix table or technology answer this question Product filling weights are normally distributed with a mean of 500 grams and a standard deviation of 25 grams. (a) Develop the control limits for the x chart for a sample of size 10. {Round your answers to two decimal places.) UCL = LG - 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 chart for a sample of size 30. (Round your answers to two decimal places.) UCL - | La - (b) What happens to the control limits as the sample size is increased? The UCL comes closer to the process mean and the LCL moves farther from the process mean as the sample size is increased. Both controllimits come closer to the process mean as the sample size is increased. Both controllimits move farther from the process mean as the sample size is increased. The sample size does not affect the control limits. The LCL comes closer to the process mean and the UCL moves farther from the process mean as the sample size is increased. (c) What happens when a Type 1 error is made The process will be declared in control and allowed continue when the process is actually out of control. The process will be declared out of control and adjusted when the process is actually control (d) What happens when a Type Il 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. (e) What is the probability of a Type T error for a sample of size 107 (Round your answer to four decimal places.) 그 What is the probability of a Type I error for a sample of size 20? (Round your answer to four decimal places.) What is the probability of a Type I error for a sample of size 30? (Round your answer to four decimal places.) (1) What is the advantage increasing the sample size for control chart purposes? What error probability is reduced as the sample size is increased? Increasing the sample size pravides a more accurate estimate of the process mean and reduces the probability of making a Type Terror. Increasing the sample size always increases the likelihood that the process is in control and reduces the probability of making a Type I error. Increasing the sample size provides a more accurate estimate of the process mean and reduces the probability of making a Type II error. Increasing the sample size always increases the likelihood that the process is in control and reduces the probability of making a Type II error.