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AQL sampling plan for lot size 9 to 15

For a lot of 9 to 15 units at general inspection level II the code letter is B and the sample size is 3. At AQL 2.5 the table arrow changes the sample to 5 units; accept the lot only if no nonconforming unit is found.

Sample size code letters for 9 to 15

Inspection levelS-1S-2S-3S-4IIIIII
Code letterAAAAABC
Sample size2222235

Level II is the default. Level I gives smaller samples and less protection, level III larger samples. The special levels S-1 to S-4 are for destructive or expensive tests. At level II the sample is 20 % to 33 % of the lot.

Level II plans and their real risk

AQLn / Ac / ReLot at the AQL is acceptedLQ: still accepted 1 in 10AOQL (lot 15)
0.01100 %–––
0.015100 %–––
0.025100 %–––
0.04100 %–––
0.065100 %–––
0.1100 %–––
0.15100 %–––
0.25100 %–––
0.4100 %–––
0.65100 %–––
1.013 / 0 / 1 (letter E)88 %16.2 %0.36 %
1.58 / 0 / 1 (letter D)89 %25 %2 %
2.55 / 0 / 1 (letter C)88 %36.9 %4.5 %
4.03 / 0 / 188 %53.6 %8.4 %
6.52 / 0 / 1 (letter A)87 %68.4 %12.8 %
105 / 1 / 2 (letter C)92 %58.4 %10.6 %

n = sample size, Ac = accept with this many or fewer nonconforming units, Re = reject with this many or more. Where the standard table shows an arrow, the plan of the letter in brackets is used, with its sample size. LQ (limiting quality) is the defect level that this plan still accepts in 10 % of lots. AOQL is the worst average outgoing quality when rejected lots are sorted 100 %. Risks use the binomial model.

What this means: with AQL 2.5 a lot that is exactly 2.5 % defective passes 88 % of the time. A lot that is 36.9 % defective still passes one time in ten. With samples this small, AQL inspection only catches very bad lots: plan process controls rather than relying on the sample.

OC curves at level II

0 %25 %50 %75 %100 %0 %20 %40 %60 %Incoming lot quality (% defective)
AQL 1.0: n 13, Ac 0AQL 2.5: n 5, Ac 0AQL 4.0: n 3, Ac 0Vertical axis: probability that the lot is accepted.

Each curve shows how likely a lot is to be accepted at a given incoming defect level. The steeper the curve, the better the plan separates good lots from bad ones. Read more in the AQL guide.

Levels I and III for common AQL values

AQLLevel I: n / Ac / ReLevel III: n / Ac / Re
0.65100 %100 %
1.013 / 0 / 113 / 0 / 1
1.58 / 0 / 18 / 0 / 1
2.55 / 0 / 15 / 0 / 1
4.03 / 0 / 13 / 0 / 1
6.52 / 0 / 18 / 1 / 2

Single sampling, normal inspection (ISO 2859-1 Table 2-A, ANSI/ASQ Z1.4). Always check plans for contractual use against the current edition of the standard.

XLSFree AQL Sampling Calculator for ExcelSample size, Ac / Re, accept or reject decision and OC curve. No macros, free download.

Other lot sizes

← Lot size 2–8Lot size 16–25 →

2–816–2526–5051–9091–150151–280281–500501–1,2001,201–3,2003,201–10,00010,001–35,00035,001–150,000150,001–500,000500,001 and over

Frequently asked questions

What sample size do I need for a lot of 9 to 15 units?

With general inspection level II the code letter is B and the sample size is 3 units (level I: A, 2 units; level III: C, 5 units). For some AQL values the table arrows move you to a different sample size, so always read n together with Ac and Re in the table for your AQL.

How many defects are allowed in a lot of 9 to 15 units at AQL 1.0, 2.5 and 4.0?

At level II, normal inspection: AQL 1.0: inspect 13, accept with 0, reject with 1; AQL 2.5: inspect 5, accept with 0, reject with 1; AQL 4.0: inspect 3, accept with 0, reject with 1.

Does every lot of 9 to 15 units get the same plan?

Yes. ISO 2859-1 and ANSI/ASQ Z1.4 group lot sizes into ranges, and every lot in the range 9 to 15 gets the same code letter. A lot of 16 moves to the next range and a larger sample. Only where the sample would be larger than the lot do you inspect the whole lot.

Open this lot in the AQL calculator: OC curve and accept / reject decisionFree, runs in your browser, PDF report in one click.