Document ID: chunk:federal_register_of_legislation:F2023C00229:reg:4:p40
Version: federal_register_of_legislation:F2023C00229
Segment Type: reg
Provision Reference: reg 4 (pt 40/42)
Character Range: 115244–120322

risk = 5 %) while the probability of a lot being accepted     with 65 % of the engines defective is 0,10 (consumer's risk = 10 %).

         3.      The following procedure is used for each of the pollutants given in Section 6.2.1 of Annex I (see Figure 2): Let:
         L = the natural logarithm of the limit value for the pollutant;

         χi = the natural logarithm of the measurement for the i-th engine of the sample;

         s  =  an estimate of the production standard deviation (after taking the natural logarithm of the measurements); n = the current sample number.
         4.      For each sample the sum of the standardised deviations to the limit is calculated using the following formula:

         5.      Then:

           —    if the test statistic result is greater than the pass decision number for the sample size given in Table 3, a pass decision is reached for the pollutant;

           —    if the test statistic result is less than the fail decision number for the sample size given in Table 3, a fail decision is reached for the pollutant;

           —    otherwise, an additional engine is tested according to Section 9.1.1.1 of Annex I and the calculation procedure is applied to the sample increased by one more unit.

        Table 3

                    Pass and fail decision numbers of Appendix 1 sampling plan Minimum sample size: 3

      Cumulative number of engines tested (sample size)
                                                            Pass decision number An      Fail decision number Bn
 3                                                          3,327                        – 4,724
 4                                                          3,261                        – 4,790
 5                                                          3,195                        – 4,856
 6                                                          3,129                        – 4,922
 7                                                          3,063                        – 4,988
 8                                                          2,997                        – 5,054
 9                                                          2,931                        – 5,120
    10                                                      2,865                        – 5,185
    11                                                      2,799                        – 5,251
    12                                                      2,733                        – 5,317
    13                                                      2,667                        – 5,383
    14                                                      2,601                        – 5,449
    15                                                      2,535                        – 5,515
    16                                                      2,469                        – 5,581
    17                                                      2,403                        – 5,647
    18                                                      2,337                        – 5,713
    19                                                      2,271                        – 5,779
    20                                                      2,205                        – 5,845
    21                                                      2,139                        – 5,911
    22                                                      2,073                        – 5,977
    23                                                      2,007                        – 6,043
    24                                                      1,941                        – 6,109
    25                                                      1,875                        – 6,175
    26                                                      1,809                        – 6,241
    27                                                      1,743                        – 6,307
    28                                                      1,677                        – 6,373
    29                                                      1,611                        – 6,439
    30                                                      1,545                        – 6,505
    31                                                      1,479                        – 6,571
    32                                                      – 2,112                      – 2,112

        Appendix 2

        PROCEDURE FOR PRODUCTION CONFORMITY TESTING WHEN STANDARD DEVIATION IS UNSATISFACTORY OR UNAVAILABLE

           1. This Appendix describes the procedure to be used to verify production conformity for the emissions of pollutants when the manufacturer's production standard deviation is either unsatisfactory or unavailable.

         2.      With a minimum sample size of three engines the sampling procedure is set so that the probability of a lot passing a test with 40 % of the engines defective is 0,95 (producer's risk = 5 %) while the probability of a lot being accepted with 65 % of