Six Sigma refers to a process whose output has 100% of its data points within 8 Standard Deviations from the Mean.

The statement is false. The Six Sigma standard refers to a process where the nearest specification limit is six standard deviations (6σ) away from the process mean. This level of performance, which accounts for a potential 1.5σ long-term shift in the process mean, corresponds to a defect rate of only 3.4 defects per million opportunities (DPMO). The statement incorrectly specifies 8 standard deviations and an unrealistic 100% containment. For a normal distribution, ±6σ from the mean contains 99.99966% of data points, not 100%.

A. True: This is incorrect because the Six Sigma methodology is defined by 6 standard deviations to the specification limits, not 8, and it corresponds to 3.4 DPMO, not 100% perfection.

1. Purdue University. (n.d.). What is Six Sigma? Purdue Online, College of Engineering. Retrieved from https://online.purdue.edu/blog/business/what-is-six-sigma. In the section "What is Six Sigma?", it states, "A Six Sigma process is one in which 99.99966% of all opportunities to produce some feature of a part are statistically expected to be free of defects. This is equivalent to 3.4 defects per million opportunities (DPMO)."

2. Antony, J., & Banuelas, R. (2002). Key ingredients for the effective implementation of Six Sigma program. Measuring Business Excellence, 6(4), 20-27. https://doi.org/10.1108/13683040210451679. On page 21, the paper defines Six Sigma as "a statistical measure of the performance of a process or a product characteristic" and clarifies that "Six Sigma quality... means that the process will be producing no more than 3.4 parts-per-million (PPM) defects."

3. Harry, M. J., & Schroeder, R. (2000). Six Sigma: The Breakthrough Management Strategy Revolutionizing the World's Top Corporations. Doubleday. In Chapter 3, "The Six Sigma Breakthrough Strategy," the concept is explained as achieving a process capability where the specification limits are ±6 standard deviations from the mean, which, after accounting for a 1.5 sigma shift, yields 3.4 DPMO.