Homework Help is Here – Start Your Trial Now!
Math
Statistics
The data represent individual observations on bath concentration from a chemical process. The target value is 10 and the process standard deviation is given as o = 0.8. (a) Use k = 0.5 and h =5, built a tabular CUSUM to quickly detect a shift of about lo in the process mean. Based on the tabular CUSUM, please conclude whether the process has a mean shift using h=5. If the process has a mean shift, please indicate at which sample this mean shift started.

The data represent individual observations on bath concentration from a chemical process. The target value is 10 and the process standard deviation is given as o = 0.8. (a) Use k = 0.5 and h =5, built a tabular CUSUM to quickly detect a shift of about lo in the process mean. Based on the tabular CUSUM, please conclude whether the process has a mean shift using h=5. If the process has a mean shift, please indicate at which sample this mean shift started.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
The data represent individual observations on bath concentration from a chemical process. The target value is 10 and the process standard deviation is given as o = 0.8. (a) Use k = 0.5 and h =5, built a tabular CUSUM to quickly detect a shift of about lo in the process mean. Based on the tabular CUSUM, please conclude whether the process has a mean shift using h=5. If the process has a mean shift, please indicate at which sample this mean shift started.
i 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 xi 9.45 7.99 9.29 11.66 12.16 10.18 8.04 11.46 9.2 10.34 9.03 11.47 10.51 9.4 10.08 9.37 10.62 10.31 8.52 10.84 10.9 9.33 12.29 11.5 10.6 11.08 10.38 11.62 11.31 10.52
Transcribed Image Text:i 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 xi 9.45 7.99 9.29 11.66 12.16 10.18 8.04 11.46 9.2 10.34 9.03 11.47 10.51 9.4 10.08 9.37 10.62 10.31 8.52 10.84 10.9 9.33 12.29 11.5 10.6 11.08 10.38 11.62 11.31 10.52
Q1. Download the dataset from Canvas. The data represent individual observations on bath concentration from a chemical process. The target value is 10 and the process standard deviation is given as o=0.8. (a) Use k = 0.5 and h=5, built a tabular CUSUM to quickly detect a shift of about 10 in the process mean. Based on the tabular CUSUM, please conclude whether the process has a mean shift using h=5. If the process has a mean shift, please indicate at which sample this mean shift started. (b) Estimate the magnitude of the mean shift and calculate the 8= μ₁ -μ/0. (c) Calculate out-of-control ARL: (using the approximated formula) for the two-sided CUSUM. Q2. Use the same dataset as in Question 6. Mo = 10 and o=0.8 are the same as before. (a) Using λ = 0.1 and L=3, please construct an EWMA chart, also please indicate at which sample the out- of-control condition is detected. (b) What are the steady state values of control limits for the EWMA chart in part (a).
Transcribed Image Text:Q1. Download the dataset from Canvas. The data represent individual observations on bath concentration from a chemical process. The target value is 10 and the process standard deviation is given as o=0.8. (a) Use k = 0.5 and h=5, built a tabular CUSUM to quickly detect a shift of about 10 in the process mean. Based on the tabular CUSUM, please conclude whether the process has a mean shift using h=5. If the process has a mean shift, please indicate at which sample this mean shift started. (b) Estimate the magnitude of the mean shift and calculate the 8= μ₁ -μ/0. (c) Calculate out-of-control ARL: (using the approximated formula) for the two-sided CUSUM. Q2. Use the same dataset as in Question 6. Mo = 10 and o=0.8 are the same as before. (a) Using λ = 0.1 and L=3, please construct an EWMA chart, also please indicate at which sample the out- of-control condition is detected. (b) What are the steady state values of control limits for the EWMA chart in part (a).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS