Answer:
To meet this target, the standard deviation has to be reduced to 0.0033 mm.
Explanation:
The objective of a six-sigma process is to ensure that the results outside the specifications are limited to the results corresponding to 3 sigma above the average or 3 sigma below the average, comprising a range of 6 sigma between the maximum and minimum values of the specifications for that process.
It implies that 99.7% of the outcomes of the process will be satisfactory and only 0.3% will fall out of the specifications.
If the actual specifications are 0.99 and 1.01, the standard deviation for the process to achieve the sig sigma level has to be
[tex]US-LS=1.01-0.99=6\sigma\\\\6\sigma=0.02\\\\\sigma=0.02/6=0.0033\\[/tex]
To meet this target, the standard deviation has to be reduced to 0.0033 mm.
