Research Article
Acceptance Sampling Plans from Life Tests Based on Percentiles of Half Normal Distribution
Table 4
Minimum ratio for the acceptability of a lot with producer’s risk 0.05.
| | | 0.1 | 0.2 | 0.4 | 0.6 | 0.8 | 1.0 | 1.5 | 2.0 | 2.5 | 3.0 |
| 0.75 | 0 | 27.2995 | 27.3264 | 25.2820 | 25.3354 | 25.3887 | 31.7358 | 31.8683 | 42.4911 | 53.1138 | 32.2612 | 0.75 | 1 | 7.5211 | 7.4707 | 7.0638 | 6.9551 | 6.8415 | 7.0279 | 5.9340 | 7.9120 | 5.9356 | 7.1227 | 0.75 | 2 | 4.6982 | 4.6579 | 4.5740 | 4.4857 | 4.3925 | 4.1606 | 4.2240 | 4.2572 | 5.3215 | 4.2191 | 0.75 | 3 | 3.6690 | 3.6354 | 3.4860 | 3.5693 | 3.4898 | 3.5650 | 3.5335 | 3.0410 | 3.8013 | 3.1989 | 0.75 | 4 | 3.1398 | 3.1106 | 3.0490 | 2.9280 | 3.0224 | 2.9465 | 2.7276 | 3.0537 | 3.0610 | 2.6281 | 0.75 | 5 | 2.7959 | 2.7492 | 2.6938 | 2.6752 | 2.5684 | 2.5816 | 2.5929 | 2.5693 | 2.6240 | 2.3656 | 0.75 | 6 | 2.5649 | 2.5411 | 2.4575 | 2.4019 | 2.4074 | 2.3411 | 2.2305 | 2.2542 | 2.3369 | 2.8043 | 0.75 | 7 | 2.3985 | 2.3630 | 2.3429 | 2.2910 | 2.2887 | 2.1705 | 2.1968 | 2.3400 | 2.1320 | 2.5584 | 0.75 | 8 | 2.2725 | 2.2520 | 2.2076 | 2.1353 | 2.1038 | 2.1610 | 1.9808 | 2.1336 | 1.9782 | 2.3739 | 0.75 | 9 | 2.1635 | 2.1442 | 2.1022 | 2.0753 | 2.0432 | 2.0464 | 1.9775 | 1.9748 | 2.1740 | 2.2298 | 0.75 | 10 | 2.0847 | 2.0577 | 2.0176 | 1.9725 | 1.9931 | 1.9550 | 1.9712 | 1.8485 | 2.0464 | 2.1137 |
| 0.90 | 0 | 44.0826 | 44.1095 | 42.0653 | 44.2167 | 42.1723 | 42.2257 | 31.8683 | 42.4911 | 53.1138 | 63.7366 | 0.90 | 1 | 10.7007 | 10.4994 | 10.0945 | 9.6860 | 9.2735 | 10.0728 | 8.2474 | 7.9120 | 9.8900 | 7.1227 | 0.90 | 2 | 6.4092 | 6.2376 | 6.1553 | 6.0698 | 5.9809 | 5.4907 | 5.2368 | 5.6320 | 5.3215 | 6.3857 | 0.90 | 3 | 4.8111 | 4.7384 | 4.5906 | 4.5183 | 4.4422 | 4.3623 | 4.1426 | 3.8877 | 3.8013 | 4.5615 | 0.90 | 4 | 3.9865 | 3.9303 | 3.8153 | 3.7515 | 3.6839 | 3.5015 | 3.5805 | 3.6368 | 3.0610 | 3.6731 | 0.90 | 5 | 3.4961 | 3.4497 | 3.3544 | 3.2966 | 3.2348 | 3.2105 | 2.9167 | 3.0187 | 3.2117 | 3.1488 | 0.90 | 6 | 3.1546 | 3.0983 | 3.0488 | 2.9954 | 2.9380 | 2.8428 | 2.7494 | 2.6193 | 2.8177 | 2.8043 | 0.90 | 7 | 2.9122 | 2.8770 | 2.7767 | 2.6995 | 2.7270 | 2.5857 | 2.6252 | 2.6377 | 2.5401 | 2.5584 | 0.90 | 8 | 2.7309 | 2.6877 | 2.6215 | 2.5512 | 2.4762 | 2.5130 | 2.3481 | 2.3904 | 2.3338 | 2.3739 | 0.90 | 9 | 2.5801 | 2.5413 | 2.5003 | 2.4353 | 2.3657 | 2.3516 | 2.2950 | 2.2008 | 2.1740 | 2.2298 | 0.90 | 10 | 2.4598 | 2.4243 | 2.3678 | 2.3422 | 2.2768 | 2.2240 | 2.2503 | 2.2469 | 2.3107 | 2.1137 |
| 0.95 | 0 | 57.7180 | 56.6969 | 54.6527 | 50.5105 | 50.5640 | 52.7154 | 47.6037 | 42.4911 | 53.1138 | 63.7366 | 0.95 | 1 | 13.1233 | 12.9222 | 12.5182 | 12.4144 | 11.7015 | 11.5919 | 10.5419 | 10.9966 | 9.8900 | 11.8680 | 0.95 | 2 | 7.5278 | 7.4222 | 7.2090 | 6.8610 | 6.5094 | 6.8151 | 6.2408 | 5.6320 | 5.3215 | 6.3857 | 0.95 | 3 | 5.5593 | 5.4474 | 5.2215 | 5.2290 | 5.0756 | 4.7596 | 4.7466 | 4.7113 | 4.8596 | 4.5615 | 0.95 | 4 | 4.5600 | 4.4766 | 4.3623 | 4.2449 | 4.1238 | 4.0540 | 4.0012 | 3.6368 | 3.8171 | 3.6731 | 0.95 | 5 | 3.9491 | 3.9029 | 3.7669 | 3.6688 | 3.5670 | 3.4192 | 3.2373 | 3.4572 | 3.2117 | 3.1488 | 0.95 | 6 | 3.5477 | 3.4916 | 3.3770 | 3.2917 | 3.2025 | 3.1754 | 3.0050 | 2.9739 | 2.8177 | 2.8043 | 0.95 | 7 | 3.2501 | 3.2015 | 3.1018 | 3.0256 | 2.9455 | 2.8609 | 2.8366 | 2.6377 | 2.9250 | 3.0482 | 0.95 | 8 | 3.0289 | 2.9859 | 2.8972 | 2.8279 | 2.7544 | 2.7464 | 2.7084 | 2.6410 | 2.6670 | 2.8005 | 0.95 | 9 | 2.8479 | 2.7993 | 2.7389 | 2.6749 | 2.6067 | 2.5540 | 2.4517 | 2.4208 | 2.4685 | 2.6088 | 0.95 | 10 | 2.7041 | 2.6687 | 2.6127 | 2.5529 | 2.4889 | 2.4024 | 2.3882 | 2.2469 | 2.3107 | 2.4557 |
| 0.99 | 0 | 88.1383 | 86.0673 | 84.0232 | 81.9790 | 75.7389 | 73.6945 | 63.3385 | 63.4716 | 53.1138 | 63.7366 | 0.99 | 1 | 18.2712 | 17.7675 | 17.3645 | 16.9596 | 16.5526 | 16.1433 | 15.1091 | 14.0558 | 13.7457 | 11.8680 | 0.99 | 2 | 10.0941 | 9.9229 | 9.5790 | 9.2329 | 8.6206 | 8.7969 | 8.2360 | 8.3211 | 7.0400 | 8.4480 | 0.99 | 3 | 7.2133 | 7.1017 | 6.7979 | 6.6493 | 6.3403 | 6.3445 | 5.9462 | 5.5234 | 5.8892 | 5.8316 | 0.99 | 4 | 5.7617 | 5.6786 | 5.4559 | 5.2305 | 5.2214 | 4.8799 | 4.8365 | 4.7740 | 4.5460 | 4.5805 | 0.99 | 5 | 4.9170 | 4.8504 | 4.6741 | 4.5363 | 4.3954 | 4.2512 | 4.1877 | 3.8890 | 3.7734 | 3.8540 | 0.99 | 6 | 4.3502 | 4.2779 | 4.16472 | 3.9820 | 3.8621 | 3.8379 | 3.5116 | 3.6659 | 3.2741 | 3.3812 | 0.99 | 7 | 3.9395 | 3.8776 | 3.7517 | 3.6770 | 3.5993 | 3.4087 | 3.2557 | 3.2162 | 3.2971 | 3.0482 | 0.99 | 8 | 3.6363 | 3.5820 | 3.4483 | 3.3804 | 3.3092 | 3.2113 | 3.0646 | 2.8874 | 2.9880 | 3.2004 | 0.99 | 9 | 3.4034 | 3.3549 | 3.2557 | 3.1533 | 3.0872 | 3.0576 | 2.9161 | 2.8494 | 2.7510 | 2.9622 | 0.99 | 10 | 3.2100 | 3.1574 | 3.0673 | 2.9738 | 2.9118 | 2.8460 | 2.7972 | 2.6279 | 2.5624 | 2.7713 |
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