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 preliminary samples of size n=10 as follows: . The sample 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)
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)
|k = (delta/2)*sigma|
|h =5* sigma|
|Obs (i)||Weight (xi)||xi-(mu0+K)||Ci+||N+||(mu0-K)-xi||Ci-||N-|
Q3 – Explain the shortcomings of control ellipse in Multivariate Monitoring Chart? (50 points)
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