Question: An x chart is used to maintain current control of
An x chart is used to maintain current control of a process. The cost parameters are a1 = $2, a2 = $0.50, a3 = $50, a′3 = $75, and a4 = $200. A single assignable cause of magnitude δ = 1 occurs, and the duration of the process in control is an exponential random variable with mean 100 h. Sampling and testing require 0.05 h, and it takes 1 h to locate the assignable cause.
Answer to relevant QuestionsA sample of five units of product is taken from a production process every hour. The results in Table 10E.12 are obtained. Assume that the specifications on this quality characteristic are at 1.0015 and 1.0035. Set up the R ...The x and R values for 20 samples of size 5 are shown in Table 10E.6. Specifications on this product have been established as 0.550 ± 0.02. (a) Construct a modified control chart with three-sigma limits, assuming that if ...Consider all 30 observations on the first two process variables in Table 11.6. Calculate an estimate of the sample covariance matrix using both estimators S1 and S2 discussed in Section 11.3.2. Are the estimates very ...Consider the p = 4 process variables in Table 11.6. After applying the PCA procedure to the first 20 observations data (see Table 11.7), suppose that the first three principal components are retained. If yt are the observations and zt is the EWMA, show that the following relationships are true. yt: Observation and zt: EWMA (a)zt − zt−1 = λ(yt − zt−1) (b) et − (1 − λ)et−1 = yt − yt−1
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