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t Lower Process Limit μ σ μx σ x Upper Spec Limit Lower Spec Limit Upper Control Limit Lower Control Limit Central Limit Thorem: (for infinite size N) σ x = σ n (n: sample size) SPCadvanced training course How to adjust for Finite Population? σ x = σ n N: population size n: sample size Nn N1 Otherwise, with n increase, σ x bees increasingly smaller. Correction factor The correction factor is used only when: n/N5% SPCadvanced training course Example: 10 ohm resistors are manufactured in batches of 500, and 50 resistors are tested in each batch. If the mean resistence of the sample is less than , the batch is rejected. With μ =10ohms σ =1ohms, what is the probability that the batch will be rejected? μ σ x Solution: N=500, n=50, X= σ x