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Chapter
                                                                          5
                                             The Use of Six Sigma
                                  with High- and Low-Volume
                                        Products and Processes









                        One of the concerns about using six sigma is the volume of production.
                        There are two parts to this concern. The immediate reaction is that the
                        3.4 PPM defect rate associated with six sigma might imply that the vol-
                        ume of production has to be very large in order to properly assess this
                        high level of quality. The other concern is that the tools of six sigma
                        used for quality control and defect rate prediction might not apply be-
                        cause of the difficulty of properly obtaining statistical information such
                        as the standard deviation of the manufacturing variability of the pro-
                        duction process. Low-volume industries including defense, aerospace,
                        and medical, as well as their suppliers, share these concerns.
                         Several statistical tools will be discussed in this chapter in order to
                        allow for the use of six sigma in low-production environments, with
                        minimum uncertainties. They are based on sampling theory and dis-
                        tribution,  and  the  relationships  between  samples  and  populations.
                        These tools are:

                        1. Process  average and  standard deviation  calculations  for samples
                          and  populations.  Section  5.1  will  discuss  the  sample  probability
                          distribution and its relationship to the parent population distribu-
                          tion. It gives examples of determining population standard devia-
                          tion and error based on sample sizes.
                        2. Determining  process  capability.  Section  5.2  will  discuss  the
                          amount of data required to properly determine process capability.

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