A double integration method for generating exact tolerance limit factors for normal populations | International Journal of Metrology and Quality Engineering (IJMQE)

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Table 6

Practical factor k_2,practical.

Sample size n	1 − α = 0.75 p = 0.75	1 − α = 0.90 p = 0.90	1 − α = 0.90 p = 0.95	1 − α = 0.95 p = 0.90	1 − α = 0.95 p = 0.95	1 − α = 0.99 p = 0.99
2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20	2.225^a 1.464^a 1.270 1.223 1.199 1.184 1.175 1.168 1.163 1.159 1.157 1.154 1.153 1.151 1.150 1.149 1.148 1.148 1.147	10.252^a 4.258^a 3.188^a 2.742^a 2.494^a 2.333^a 2.219^a 2.157 2.112 2.075 2.045 2.020 1.999 1.981 1.965 1.950 1.938 1.927 1.916	13.089^a 5.311^a 3.957^a 3.400^a 3.092^a 2.894^a 2.754^a 2.650^a 2.568^a 2.517 2.479 2.446 2.419 2.395 2.375 2.356 2.340 2.326 2.312	20.580^a 6.155^a 4.162^a 3.407^a 3.006^a 2.755^a 2.582^a 2.454^a 2.375 2.316 2.268 2.228 2.194 2.165 2.140 2.118 2.098 2.080 2.064	26.258^a 7.656^a 5.144^a 4.203^a 3.708^a 3.400^a 3.187^a 3.031^a 2.911^a 2.815^a 2.746 2.695 2.653 2.616 2.584 2.556 2.531 2.509 2.488	185.543^a 23.895^a 12.387^a 8.939^a 7.335^a 6.412^a 5.812^a 5.389^a 5.074^a 4.829^a 4.633^a 4.472^a 4.337^a 4.222^a 4.123^a 4.037^a 3.960^a 3.893^a 3.835

^a In case that k₂ is smaller than its corresponding factor k₁, k₁ (not k₂) was selected as substitute for k_2,practical (see Tables 1 and 2).

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