Problem 1. Motorola engineers define the 6-sigam process with USL and LSL locati

Question

Problem 1. Motorola engineers define the 6-sigam process with USL and LSL locating above and below the center line by 6 sigma distance. The Parts Per Million (PPM) defective rate for such as 6-sigma process can be assessed to be 3.4 PPM assuming that the process can shift by 1.5 sigma distance fronm the center location of the process. Based on the understanding to such 6-sigma process capability definition, demonstrate the derivation of PPM number for a process which is at 4.5 sigma capability level. [20 points)

Explanation / Answer

4.5 sigma

P(Z > 4.5) = 3.3976*10^(-6)

= 3.4 ppm

https://www.isixsigma.com/new-to-six-sigma/dmaic/15-sigma-process-shift/

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