Acceptance Sampling by Attributes - Compare
User Defined Plans - Probability of Acceptance Table
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Acceptance Sampling by Attributes - CompareUser Defined Plans - Probability of Acceptance Table |
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The probability of accepting lots at the AQL should be close to 1 - 
. The probability of accepting
lots at the RQL should be close to 
. The probability of rejecting is simply 1 minus the probability
of accepting.
Example Output |
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Compare User Defined Plan(s)
Sample Acceptance Percent Probability Probability Size(n) Number(c) Defective Accepting Rejecting AOQ ATI 150 10 2 1.000 0.000 1.988 155.9 150 10 5 0.868 0.132 4.313 3435.6
200 10 2 0.997 0.003 1.979 262.8 200 10 5 0.583 0.417 2.892 10539.9
250 10 2 0.987 0.013 1.955 566.7 250 10 5 0.291 0.709 1.440 17799.6
Sample Acceptance At Percent Size(n) Number(c) AOQL Defective 150 10 4.355 5.369 200 10 3.254 4.027 250 10 2.595 3.222
Accept lot if defective items in n sampled ≤ c; Otherwise reject. |
Interpretation |
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For the grocery bags, the probability of accepting a lot at the AQL (2%) at sample sizes of 150, 200, and 250 is 1.000, 0.997, and 0.987, respectively. The probability of accepting a lot at the RQL (5%) at sample sizes of 150, 200, and 250 is 0.868, 0.583, and 0.291. Here we see that the probability of accepting lots with a quality level at the RQL (5%) increases beyond the consumer's risk (0.10) as the sample size decreases.
At the AQL, the probability of rejecting at the various sample sizes is 0.000, 0.003, and 0.013; and at the RQL, the probability of rejecting is 0.132, 0.417, and 0.709, depending on the sample size.
