Comparison of standard normal distribution and it shifted by 1.5 sigma (original) (raw)

Comparison of standard normal distribution and it shifted by 1.5 sigma Comparison of standard normal distribution (with mean = 0 and standard deviation = 1, coloured green) and the distribution shifted by 1.5 sigma (with mean = −1.5 coloured blue, and mean = 1.5 coloured red) on the effect on the upper and lower specification limits (USL and LSL, respectively) by CMG Lee. 7 6 5 4 3 2 1 0 −1 −2 −3 −4 −5 −6 −7 0.40 0.30 0.20 0.10 x ϕ(x) Fraction of area left of LSL: Fraction of area right of USL: Total fraction beyond ±6σ: LSL USL μ=0 μ-σ=-1 μ+σ=1 original:9.866 × 10−10 original:9.866 × 10−10 original:1.973 × 10−9 μ=1.5 μ−σ=0.5 μ+σ=2.5 +1.5σ shift:3.191 × 10−14 +1.5σ shift:3.398 × 10−6 +1.5σ shift:3.398 × 10−6 μ=−1.5 μ−σ=−2.5 μ+σ=−0.5 −1.5σ shift:3.398 × 10−6 −1.5σ shift:3.191 × 10−14 −1.5σ shift:3.398 × 10−6