ETM 419 Morehead State University Quality Management Systems Exam

Dept. of Engineering Management Instructor: Dr. K. Jenab & Technology ETM 619- Total Quality Control ETM 419- Quality Management Systems Final Exam, Platform: Blackboard, Time: 2.5 Hrs Date: Fall 2020 250 Points CODE: Student Name: ……………………………………………… St ID:……………………………….. Q1- A product has three quality characteristics. The nominal values of these quality characteristics and their sample covariance matrix have been determined from the analysis of 30 3.0 preliminary samples of size n=10 as follows: 𝑋̿ = [3.5] 2.8 1.4 1.02 1.05 𝑆 = [1.02 1.35 0.98]. The sample 1.05 0.98 1.20 means for each quality characteristic for 15 additional samples of size n=10 are show below. Is the process in statistical control? Please provide details. (100 points) Sample # 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Answer: Xbar1 Xbar2 Xbar3 3.1 3.3 2.6 2.8 3 4 3.8 3 2.4 2 3.2 3.7 4.1 3.8 3.2 3.7 3.9 3 3 3.3 4.6 4.2 3.3 3 2.6 3.9 4 4.7 4 3.6 3 3.1 2.4 2.5 2.8 3.5 3 2.7 2.2 1.8 3 3 3.2 2.9 2.8 Dept. of Engineering Management Instructor: Dr. K. Jenab & Technology ETM 619- Total Quality Control ETM 419- Quality Management Systems Final Exam, Platform: Blackboard, Time: 2.5 Hrs Date: Fall 2020 250 Points CODE: Student Name: ……………………………………………… St ID:……………………………….. Q2 – (Changepoint Question)- The data in the table represent individual observation on molecular weight taken hourly from a chemical process. Target value of molecular weight is 1050 and the process standard deviation is thought to be about σ=25. Setup a tabular CuSum for the mean of this process. Design the CuSum to quickly detect a shift of about 1.0 σ in the process mean? (100 points) mu0 = sigma = delta = k= (delta/2)*sigma h =5* sigma Obs (i) Weight (xi) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1045 1055 1037 1064 1095 1008 1050 1087 1125 1146 1139 1169 1151 1128 1238 1125 1163 1188 1146 1167 xi(mu0+K) Ci+ N+ (mu0-K)xi Ci- N- Dept. of Engineering Management Instructor: Dr. K. Jenab & Technology ETM 619- Total Quality Control ETM 419- Quality Management Systems Final Exam, Platform: Blackboard, Time: 2.5 Hrs Date: Fall 2020 250 Points CODE: Student Name: ……………………………………………… St ID:……………………………….. Answer: Dept. of Engineering Management Instructor: Dr. K. Jenab & Technology ETM 619- Total Quality Control ETM 419- Quality Management Systems Final Exam, Platform: Blackboard, Time: 2.5 Hrs Date: Fall 2020 250 Points CODE: Student Name: ……………………………………………… St ID:……………………………….. Q3 – Explain the shortcomings of control ellipse in Multivariate Monitoring Chart? (50 points) Answer: End

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