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d) Suppose that the process mean shifts from 5.00 mm to 5.05 mm and a mean of a sample taken from the process is 5.06, which indicates that the process is within control (control chart does not signal any out- of-control situation), what type of error would have been committed with such a conclusion? Explain. Type of Error=

d) Suppose that the process mean shifts from 5.00 mm to 5.05 mm and a mean of a sample taken from the process is 5.06, which indicates that the process is within control (control chart does not signal any out- of-control situation), what type of error would have been committed with such a conclusion? Explain. Type of Error=

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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d) Suppose that the process mean shifts from 5.00 mm to 5.05 mm and a mean of a sample taken from the process is 5.06, which indicates that the process is within control (control chart does not signal any out- of-control situation), what type of error would have been committed with such a conclusion? Explain. Type of Error= e) Suppose you would like to follow United Kingdom (UK) convention to set up the control limits, what would be upper and lower control limits? UCL= LCL=
Transcribed Image Text:d) Suppose that the process mean shifts from 5.00 mm to 5.05 mm and a mean of a sample taken from the process is 5.06, which indicates that the process is within control (control chart does not signal any out- of-control situation), what type of error would have been committed with such a conclusion? Explain. Type of Error= e) Suppose you would like to follow United Kingdom (UK) convention to set up the control limits, what would be upper and lower control limits? UCL= LCL=
In a machining process, diameter of a product is of concern as a quality characteristic. Control charts are to be constructed to control the mean diameter quality characteristic. Suppose that the machining process operates with a mean diameter of 5.00 mm and a known standard deviation of o=0.09 mm. Samples of size n=9 parts will be used for the control process. a) Determine the Upper and Lower Control Limits (UCL and LCL) for the 30 control chart to be used to control mean diameter based on the sample means. UCL= LCL= b) Suppose 7 samples (each with size n=9) are taken from the process and their mean values determined as below. Indicate the sample mean which is out of control. ₁5.01, 4.90, 4.96, 5.05, 4.89, 5.095, 4.965 Sample means out of Control- Type of Error= c) If a sample mean of 5.11 is obtained and found that it is outside the control limits, the process will be stopped for corrective action because the control chart signals that the process is out of control, while the process is actually not out of control, what type of error has been committed and what is the total probability for this type of error? are Probability of Error=
Transcribed Image Text:In a machining process, diameter of a product is of concern as a quality characteristic. Control charts are to be constructed to control the mean diameter quality characteristic. Suppose that the machining process operates with a mean diameter of 5.00 mm and a known standard deviation of o=0.09 mm. Samples of size n=9 parts will be used for the control process. a) Determine the Upper and Lower Control Limits (UCL and LCL) for the 30 control chart to be used to control mean diameter based on the sample means. UCL= LCL= b) Suppose 7 samples (each with size n=9) are taken from the process and their mean values determined as below. Indicate the sample mean which is out of control. ₁5.01, 4.90, 4.96, 5.05, 4.89, 5.095, 4.965 Sample means out of Control- Type of Error= c) If a sample mean of 5.11 is obtained and found that it is outside the control limits, the process will be stopped for corrective action because the control chart signals that the process is out of control, while the process is actually not out of control, what type of error has been committed and what is the total probability for this type of error? are Probability of Error=
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