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 8

Practical AQLs corresponding to k_1,practical and k_2,practical.

One–sided

Sample size n	1 − α = 0.90, p = 0.90		1 − α = 0.90, p = 0.95		1 − α = 0.99, p = 0.99
	k₁_,practical	AQL	k₁_,practical	AQL	k₁_,practical	AQL
2 5 10 15 20	10.252 2.742 2.066 1.867 1.765	28.86%^a 16.66% 13.81% 12.88% 12.40%	13.089 3.400 2.568 2.329 2.208	21.99% 10.05% 7.75% 7.04% 6.68%	185.543 8.939 5.074 4.222 3.832	nearly 0% 0.011% 0.131% 0.240% 0.318%
Two–sided
Sample size n	1 − α = 0.90, p = 0.90		1 − α = 0.90, p = 0.95		1 − α = 0.99, p = 0.99
Sample size n	k₂,_practical	AQL	k₂,_practical	AQL	k₂,_practical	AQL
2 5 10 15 20	10.252^b 2.742^b 2.112 1.981 1.916	28.86%^b 16.66%^b 13.89% 12.97% 12.50%	13.089^b 3.400^b 2.568^b 2.395 2.312	21.99%^b 10.05%^b 7.75%^b 7.10% 6.74%	185.543^b 8.939^b 5.074^b 4.222^b 3.835	nearly 0%^b 0.011%^b 0.131%^b 0.240%^b 0.314%

^a The unit “%” was not omitted for clear discernment of the AQLs from the tolerance limit factors.

^b In case that k₁ is larger than its corresponding factor k₂, the AQL corresponding to k_1,practical was selected as the practical AQL in the two-sided test (see Table 7).

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