Document ID: chunk:federal_register_of_legislation:F2024C00356:reg:32
Version: federal_register_of_legislation:F2024C00356
Segment Type: reg
Provision Reference: reg 32
Character Range: 142081–144128

32                                        -2.112                   -2.112

Appendix 2
  Procedure for verifying the conformity of production requirements if the production standard deviation given by the manufacturer is either not satisfactory or not available
              1. This Appendix describes the procedure to be used to verify the production conformity requirements for the Type I test when the manufacturer's evidence of production standard deviation is either not satisfactory or not available.
              2.  With a minimum sample size of 3, the sampling procedure is set so that the probability of a lot passing a test with 40 per cent of the production defective is 0.95 (producer's risk = 5 per cent) while the probability of a lot being accepted with 65 per cent of the production defective is 0.l (consumer's risk = 10 per cent).
              3. The measurements of the pollutants given in Table 1 of paragraph 5.3.1.4. of this Regulation are considered to be log normally distributed and shall first be transformed by taking their natural logarithms. Let m0 and m denote the minimum and maximum sample sizes respectively (m0 = 3 and m = 32) and let n denote the current sample number.
              4.  If the natural logarithms of the measurements in the series are x1,x2..., xi and L is the natural logarithm of the limit value for the pollutant, then define:
                d1 = x1 – L

                and

              5. Table 1/2 shows values of the pass (An) and fail (Bn) decision numbers against current sample number. The test statistic is the ratio n/Vn and shall be used to determine whether the series has passed or failed as follows:
  For mo  n  m
  (i) Pass the series if
  (ii) Fail the series if
  (iii) Take another measurement if
6.  Remarks
                The following recursive formulae are useful for computing successive values of the test statistic:

Table 1/2
Minimum sample size = 3
Sample size  Pass decision threshold  Fail decision threshold
(n)          (An)                     (Bn)