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