Reliability and Six Sigma
Containing a carefully developed integration of mathematical models that relate Six Sigma and reliability measures, this text is filled with case studies to illustrate the application of the models throughout.
TABLE OF CONTENTS Reliability and Six Sigma
Appendix
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Table 1: Standard normal distribution table.
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Table 2: t distribution table
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Table 3: Gamma function table
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Table 4: Sigma level, Yield and DPMO table
| z | F(z) | z | F(z) | z | F(z) | z | F(z) |
|---|---|---|---|---|---|---|---|
| -4 | 3.1E-05 | -2.0 | 0.0227500 | 0 | 0.5 | 2.0 | 0.97724994 |
| -3.9 | 4.8E-05 | -1.9 | 0.0287164 | 0.1 | 0.5398279 | 2.1 | 0.98213564 |
| -3.8 | 7.2E-05 | -1.8 | 0.0359302 | 0.2 | 0.57925969 | 2.2 | 0.9860966 |
| -3.7 | 0.00010 | -1.7 | 0.0445654 | 0.3 | 0.61791136 | 2.3 | 0.98927592 |
| -3.6 | 0.000159 | -1.6 | 0.0547992 | 0.4 | 0.6554217 | 2.4 | 0.99180247 |
| -3.5 | 0.000232 | -1.5 | 0.0668072 | 0.5 | 0.69146247 | 2.5 | 0.99379032 |
| -3.4 | 0.000336 | -1.4 | 0.0807567 | 0.6 | 0.72574694 | 2.6 | 0.99533878 |
| -3.3 | 0.000483 | -1.3 | 0.0968005 | 0.7 | 0.75803642 | 2.7 | 0.99653298 |
| -3.2 | 0.000687 | -1.2 | 0.1150697 | 0.8 | 0.78814467 | 2.8 | 0.99744481 |
| -3.1 | 0.000967 | -1.1 | 0.1356661 | 0.9 | 0.81593991 | 2.9 | 0.99813412 |
| -3 | 0.001349 | -1 | 0.1586552 | 1 | 0.84134474 | 3 | 0.99865003 |
| -2.9 | 0.001865 | -0.9 | 0.1840600 | 1.1 | 0.8643339 | 3.1 | 0.99903233 |
| -2.8 | 0.002555 | -0.8 | 0.2118553 | 1.2 | 0.88493027 | 3.2 | 0.9993128 |
| -2.7 | 0.003467 | -0.7 | 0.2419635 | 1.3 | 0.90319945 | 3.3 | 0.99951652 |
| -2.6 | 0.004661 | -0.6 | 0.2742530 | 1.4 | 0.91924329 | 3.4 | 0.99966302 |
| -2.5 | 0.006209 | -0.5 | 0.3085375 | 1.5 | 0.93319277 | 3.5 | 0.99976733 |
| -2.4 | 0.008197 | -0.4 | 0.3445783 | 1.6 | 0.94520071 | 3.6 | 0.99984085 |
| -2.3 | 0.010724 | -0.3 | 0.3820886 | 1.7 | 0.95543457 | 3.7 | 0.99989217 |
| -2.2 | 0.013903 | -0.2 | 0.420740 | 1.8 | 0.96406973 | 3.8 | 0.99992763 |
| -2.1 | 0.017864 | -0.1 | 0.460172 | 1.9 | 0.97128351 | 3.9 | 0.99995188 |
| N | Value of a | ||||
|---|---|---|---|---|---|
| 0.100 | 0.050 | 0.025 | 0.010 | 0.005 | |
| 1 | 3.078 | 6.314 | 12.706 | 31.821 | 63.657 |
| 2 | 1.886 | 2.920 | 4.303 | 6.695 | 9.925 |
| 3 | 1.639 | 2.353 | 3.182 | 4.541 | 5.841 |
| 4 | 1.533 | 2.132 | 2.776 | 3.747 | 4.604 |
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