Homework Help is Here – Start Your Trial Now!
Math
Statistics
6.59. Control charts for F and s have been maintained on a process and have exhibited statistical control. The sample size is n= 6. The control chart parameters are as follows: I Chart : Chart UCL = 708.20 UCL = 3.420 Center line = 706.00 Center line = 1.738 LCL = 703.80 LCL = 0.052 (a) Estimate the mean and standard deviation of the process. (b) Estimate the natural tolerance limits for the process. (c) Assume that the process output is well modeled by a normal distribution. If specifications are 703 and 709, estimate the fraction nonconforming. (d) Suppose the process mean shifts to 702.00 while the standard deviation remains constant. What is the probability of an out-of-control signal occur- ring on the first sample following the shift? (e) For the shift in part (d), what is the probability of detecting the shift by at least the third subsequent sample?

6.59. Control charts for F and s have been maintained on a process and have exhibited statistical control. The sample size is n= 6. The control chart parameters are as follows: I Chart : Chart UCL = 708.20 UCL = 3.420 Center line = 706.00 Center line = 1.738 LCL = 703.80 LCL = 0.052 (a) Estimate the mean and standard deviation of the process. (b) Estimate the natural tolerance limits for the process. (c) Assume that the process output is well modeled by a normal distribution. If specifications are 703 and 709, estimate the fraction nonconforming. (d) Suppose the process mean shifts to 702.00 while the standard deviation remains constant. What is the probability of an out-of-control signal occur- ring on the first sample following the shift? (e) For the shift in part (d), what is the probability of detecting the shift by at least the third subsequent sample?

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 22SGR
See similar textbooks
icon
Related questions
Question

Please to perform in excel and show formulas.

Note:

Please to perform in excel and show formulas. (Show pictures)

6.59. Control charts for and s have been maintained on a process and have exhibited statistical control. The sample size is n = 6. The control chart parameters are as follows: I Chart s Chart UCL = 708.20 UCL = 3.420 Center line = 706.00 Center line = 1.738 LCL = 703.80 LCL = 0.052 (a) Estimate the mean and standard deviation of the process. (b) Estimate the natural tolerance limits for the process. (c) Assume that the process output is well modeled by a normal distribution. If specifications are 703 and 709, estimate the fraction nonconforming. (d) Suppose the process mean shifts to 702.00 while the standard deviation remains constant. What is the probability of an out-of-control signal occur- ring on the first sample following the shift? (e) For the shift in part (d), what is the probability of detecting the shift by at least the third subsequent sample?
Transcribed Image Text:6.59. Control charts for and s have been maintained on a process and have exhibited statistical control. The sample size is n = 6. The control chart parameters are as follows: I Chart s Chart UCL = 708.20 UCL = 3.420 Center line = 706.00 Center line = 1.738 LCL = 703.80 LCL = 0.052 (a) Estimate the mean and standard deviation of the process. (b) Estimate the natural tolerance limits for the process. (c) Assume that the process output is well modeled by a normal distribution. If specifications are 703 and 709, estimate the fraction nonconforming. (d) Suppose the process mean shifts to 702.00 while the standard deviation remains constant. What is the probability of an out-of-control signal occur- ring on the first sample following the shift? (e) For the shift in part (d), what is the probability of detecting the shift by at least the third subsequent sample?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
SEE MORE TEXTBOOKS