df 12345 61899 HOBHS 7 0.20 0.10 0.05 3.078 6.314 12.706 1.886 2.920 4.303 1.638 2.353 3.182 1.533 2.132 2.776 1.476 2015 1.440 1.943 1.415 1.895 1.397 1.860 1.383 1.833 10 1.372 1.812 80% 14 1.345 15 1.341 16 17 11 1.363 1.796 12 1.356 1.782 13 1.350 1.771 1.761 1.753 0.10 0.05 0.025 t Confidence interval 21 1.323 1.721 22 1.321 1.717 23 1.319 1.714 24 1.318 1.711 25 1.316 1.708 FERZE Confidence Intervals, c 90% 95% 98% 99% Level of Significance for One-Tailed Test, 0.01 0.005 Level of Significance for Two-Tailed Test, a 0.02 0.01 31.821 63.657 6.965 9.925 4.541 5.841 26 1.315 1.706 27 1.314 1.703 28 1.313 1.701 29 1.311 1.699 30 1.310 1.697 2.120 2.583 2.921 2.110 2.567 2.898 1.337 1.746 1.333 1.740 18 1.330 1.734 2.101 2.552 2.878 19 1.328 1.729 2.093 2.861 2.539 20 1.325 1.725 2.086 2.528 2.845 33 1.308 1.692 34 1.307 35 1.306 71 1.294 72 1.293 1.293 74 1.293 73 78 79 80 31 1.309 1.696 2.040 2.453 2.744 32 1.309 1.694 2.037 2.449 2.738 2.445 2.733 2.441 2.728 2.438 2.724 1.666 1.666 75 1.293 1.665 1.667 1.666 3.747 4.604 2.571 3.365 4.032 76 1.293 1.665 77 1.293 1.665 1.292 1.665 1.292 1.664 1.292 1.664 2.447 3.143 3.707 2.365 2.998 3.499 2.306 2.896 3.355 2.262 2.821 3.250 2.228 2.764 3.169 2.201 2.718 3.106 2.179 2.681 3.055 2.160 2.650 3.012 2.145 2.624 2.977 2.131 2.602 2.947 2.035 1.691 2.032 1.690 2.030 2.080 2.518 2.074 2.508 2.069 2.500 2.807 2.064 2.492 2.797 2.060 2.485 2.787 -t 0 Left-tailed test 2.056 2.479 2.779 2.052 2.473 2.771 2.048 2.467 2.763 2.045 2.462 2.756 2.042 2.457 2.750 1.994 1.993 1.993 1.993 1.992 1.992 1.991 1.991 1.990 1.990 81 1.292 1.664 1.990 82 1.292 1.664 1.989 1.292 1.663 83 84 1.292 1.663 85 1.292 1.663 1.989 1.988 2.831 2.819 2.375 2.374 2.374 2.373 2.373 1.989 2.372 2.376 2.642 2.376 2.641 99.9% 2.638 2.637 2.636 2.372 2.636 2.371 2.635 0.0005 0.001 636.619 31.599 12.924 8.610 6.869 5.959 5.408 5.041 4.781 4.587 4.437 4.318 4.221 4.140 4.073 4.015 3.965 3.922 3.883 3.850 2.380 2.647 3.433 2.379 2.646 3.431 2.379 2.645 3.429 2.378 2.644 3.427 2.377 2.643 3.425 3.819 3.792 3.768 3.745 3.725 3.707 3.690 3.674 3.659 3.646 3.633 3.622 3.611 3.601 3.591 3.423 3.421 2.640 3.420 2.640 3.418 2.639 3.416 3.415 3.413 3.412 3.410 3.409 86 1.291 1.663 1.988 2.370 2.634 3.407 87 1.291 1.663 1.988 2.370 2.634 3.406 88 1.291 1.662 1.987 2.369 2.633 3.405 df 0 t Right-tailed test Confidence Intervals, c 90% 95% 98% 99% Level of Significance for One-Tailed Test, a 0.05 0.025 0.01 0.005 Level of Significance for Two-Tailed Test, a 0.20 0.10 0.05 0.02 0.01 36 1.306 1.688 2.028 2.434 2.719 2.431 2.715 37 1.305 1.687 2.026 38 1.304 1.686 2.024 2.429 2.023 2.426 39 1.304 1.685 40 1.303 1.684 2.021 2.423 80% 0.10 41 1.303 1.683 42 1.302 1.682 43 1.302 1.681 44 1.301 1.680 45 1.301 1.679 56 57 61 1.296 1.670 62 1.295 1.670 63 1.295 1.669 64 1.295 65 1.295 46 1.300 1.679 2.013 2.410 47 1.300 1.678 2012 48 1.299 1.677 2011 49 1.299 1.677 2.010 50 1.299 1.676 2.009 1.669 1.669 1.295 1.668 1.294 1.668 66 67 68 1.294 1.668 69 1.294 1.667 70 1.294 1.667 89 1.291 1.662 90 1.291 1.662 2.020 2018 2017 2015 2014 51 1.298 1.675 2.008 2.402 2.676 52 1.298 1.675 2.007 2.400 2,674 2.399 2.672 53 1.298 1.674 2.006 54 1.297 1.674 2.005 2.397 2.670 55 1.297 1.673 2.004 2.396 2.668 2.003 2.395 2.667 2.002 2.394 2.665 2.002 2.392 2.663 1.297 1.673 1.297 1.672 1.296 1.672 59 1.296 1.671 2.001 2.391 58 2.662 60 1.296 1.671 2.000 2.390 2.660 94 1.291 95 1.291 1.661 96 1.290 1.661 97 1.290 1.661 98 1.290 1.661 99 1.290 1.660 100 1.290 1.660 2.000 1.999 1.998 1.998 1.997 1.997 1.996 1.995 1.995 1.994 91 1.291 1.662 1.986 92 1.291 1.662 1.986 93 1.291 1.661 1.986 1.661 1.986 1.985 ta 1.987 1.987 1.985 1.985 1.984 1.984 1.984 2.421 2.701 2.418 2.698 2.416 2.695 2.414 2.692 2.412 2.690 2.408 2.407 2.405 2.403 -t 0 t Two-tailed test 2.712 2.708 2.704 2.369 2.368 2.389 2.659 2.388 2.657 2.387 2.656 2.386 2.655 2.385 2.654 2.368 2.368 2.367 2.367 2.366 2.687 2.685 2.682 2.680 2.678 2.384 2.383 2.382 2.382 2.381 2.648 2.366 2.365 2.652 2.651 2.650 2.649 2.632 2.632 2.628 2.627 2.365 2.627 2.365 2.626 2.364 2.626 2.358 2.617 120 1.289 1.658 140 1.288 1.656 1.980 1.977 2.353 2.611 2.350 2.607 160 1.287 1.654 1.975 180 1.286 1.653 1.973 2.347 2.603 200 1.286 1.653 1.972 2.345 1.282 1.645 1.960 2.326 2.601 2.576 99.9% B 0.0005 0.001 3.582 3.574 3.566 3.558 3.551 3.544 3.538 3.532 3.526 3.520 3.515 3.510 3.505 3.500 3.496 3.492 3.488 3.484 3.480 3.476 3.473 3.470 3.466 3.463 3.460 2.631 3.401 2.630 3.399 2.630 3.398 2.629 2.629 3.457 3.454 3.452 3.449 3.447 3.444 3.442 3.439 3.437 3.435 3.403 3.402 3.397 3.396 3.395 3.394 3.393 3.392 3.390 3.373 3.361 3.352 3.345 3.340 3.291 Z 0.0 0.1 0.2 0.3 0.4 - 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 0.00 0.0000 0.0398 0.0793 0.1179 0.1554 0.1915 0.2257 0.2580 0.2881 0.3159 0.3413 0.3643 0.3849 0.4032 0.4192 0.4332 0.4452 0.4554 0.4641 0.4713 0.4772 0.4821 0.4861 0.4893 0.4918 0.4938 0.4953 0.4965 0.4974 0.4981 0.4987 0.01 0.0040 0.0438 0.0832 0.1217 0.1591 0.1950 0.2291 0.2611 0.2910 0.3186 0.3438 0.3665 0.3869 0.4049 0.4207 0.4345 0.4463 0.4564 0.4649 0.4719 0.4778 0.4826 0.4864 0.4896 0.4920 0.4940 0.4955 0.4966 0.4975 0.4982 0.4987 ACILIPIC If z = 1.96, then P(0 to z) = 0.4750 0.02 0.0080 0.0478 0.0871 0.1255 0.1628 0.1985 0.2324 0.2642 0.2939 0.3212 0.3461 0.3686 0.3888 0.4066 0.4222 0.4357 0.4474 0.4573 0.4656 0.4726 0.4783 0.4830 0.4868 0.4898 0.4922 0.4941 0.4956 0.4967 0.4976 0.4982 0.4987 1- 0.03 0.0120 0.0517 0.0910 0.1293 0.1664 0.2019 0.2357 0.2673 0.2967 0.3238 0.3485 0.3708 0.3907 0.4082 0.4236 0.4370 0.4484 0.4582 0.4664 0.4732 0.4788 0.4834 0.4871 0.4901 0.4925 0.4943 0.4957 0.4968 0.4977 0.4983 0.4988 0.04 0.0160 0.0557 0.0948 0.1331 0.1700 0.2054 0.2389 0.2704 0.2995 0.3264 0.3508 0.3729 0.3925 0.4099 0.4251 0.4382 0.4495 0.4591 0.4671 0.4738 0.4793 0.4838 0.4875 0.4904 0.4927 0.4945 0.4959 0.4969 0.4977 0.4984 0.4988 0 0.4750 0.05 0.0199 0.0596 0.0987 0.1368 0.1736 0.2088 0.2422 0.2734 0.3023 0.3289 0.3531 0.3749 0.3944 0.4115 0.4265 0.4394 0.4505 0.4599 0.4678 0.4744 0.4798 0.4842 0.4878 0.4906 0.4929 0.4946 0.4960 0.4970 0.4978 0.4984 0.4989 1.96 0.06 0.0239 0.0636 0.1026 0.1406 0.1772 0.2123 0.2454 0.2764 0.3051 0.3315 0.3554 0.3770 0.3962 0.4131 0.4279 0.4406 0.4515 0.4608 0.4686 0.4750 0.4803 0.4846 0.4881 0.4909 0.4931 0.4948 0.4961 0.4971 0.4979 0.4985 0.4989 0.07 0.0279 0.0675 0.1064 0.1443 0.1808 0.2157 0.2486 0.2794 0.3078 0.3340 0.3577 0.3790 0.3980 0.4147 0.4292 0.4418 0.4525 0.4616 0.4693 0.4756 0.4808 0.4850 0.4884 0.4911 0.4932 0.4949 0.4962 0.4972 0.4979 0.4985 0.4989 0.08 0.0319 0.0714 0.1103 0.1480 0.1844 0.2190 0.2517 0.2823 0.3106 0.3365 0.3599 0.3810 0.3997 0.4162 0.4306 0.4429 0.4535 0.4625 0.4699 0.4761 0.4812 0.4854 0.4887 0.4913 0.4934 0.4951 0.4963 0.4973 0.4980 0.4986 0.4990 0.09 0.0359 0.0753 0.1141 0.1517 0.1879 0.2224 0.2549 0.2852 0.3133 0.3389 0.3621 0.3830 0.4015 0.4177 0.4319 0.4441 0.4545 0.4633 0.4706 0.4767 0.4817 0.4857 0.4890 0.4916 0.4936 0.4952 0.4964 0.4974 0.4981 0.4986 0.4990
df 12345 61899 HOBHS 7 0.20 0.10 0.05 3.078 6.314 12.706 1.886 2.920 4.303 1.638 2.353 3.182 1.533 2.132 2.776 1.476 2015 1.440 1.943 1.415 1.895 1.397 1.860 1.383 1.833 10 1.372 1.812 80% 14 1.345 15 1.341 16 17 11 1.363 1.796 12 1.356 1.782 13 1.350 1.771 1.761 1.753 0.10 0.05 0.025 t Confidence interval 21 1.323 1.721 22 1.321 1.717 23 1.319 1.714 24 1.318 1.711 25 1.316 1.708 FERZE Confidence Intervals, c 90% 95% 98% 99% Level of Significance for One-Tailed Test, 0.01 0.005 Level of Significance for Two-Tailed Test, a 0.02 0.01 31.821 63.657 6.965 9.925 4.541 5.841 26 1.315 1.706 27 1.314 1.703 28 1.313 1.701 29 1.311 1.699 30 1.310 1.697 2.120 2.583 2.921 2.110 2.567 2.898 1.337 1.746 1.333 1.740 18 1.330 1.734 2.101 2.552 2.878 19 1.328 1.729 2.093 2.861 2.539 20 1.325 1.725 2.086 2.528 2.845 33 1.308 1.692 34 1.307 35 1.306 71 1.294 72 1.293 1.293 74 1.293 73 78 79 80 31 1.309 1.696 2.040 2.453 2.744 32 1.309 1.694 2.037 2.449 2.738 2.445 2.733 2.441 2.728 2.438 2.724 1.666 1.666 75 1.293 1.665 1.667 1.666 3.747 4.604 2.571 3.365 4.032 76 1.293 1.665 77 1.293 1.665 1.292 1.665 1.292 1.664 1.292 1.664 2.447 3.143 3.707 2.365 2.998 3.499 2.306 2.896 3.355 2.262 2.821 3.250 2.228 2.764 3.169 2.201 2.718 3.106 2.179 2.681 3.055 2.160 2.650 3.012 2.145 2.624 2.977 2.131 2.602 2.947 2.035 1.691 2.032 1.690 2.030 2.080 2.518 2.074 2.508 2.069 2.500 2.807 2.064 2.492 2.797 2.060 2.485 2.787 -t 0 Left-tailed test 2.056 2.479 2.779 2.052 2.473 2.771 2.048 2.467 2.763 2.045 2.462 2.756 2.042 2.457 2.750 1.994 1.993 1.993 1.993 1.992 1.992 1.991 1.991 1.990 1.990 81 1.292 1.664 1.990 82 1.292 1.664 1.989 1.292 1.663 83 84 1.292 1.663 85 1.292 1.663 1.989 1.988 2.831 2.819 2.375 2.374 2.374 2.373 2.373 1.989 2.372 2.376 2.642 2.376 2.641 99.9% 2.638 2.637 2.636 2.372 2.636 2.371 2.635 0.0005 0.001 636.619 31.599 12.924 8.610 6.869 5.959 5.408 5.041 4.781 4.587 4.437 4.318 4.221 4.140 4.073 4.015 3.965 3.922 3.883 3.850 2.380 2.647 3.433 2.379 2.646 3.431 2.379 2.645 3.429 2.378 2.644 3.427 2.377 2.643 3.425 3.819 3.792 3.768 3.745 3.725 3.707 3.690 3.674 3.659 3.646 3.633 3.622 3.611 3.601 3.591 3.423 3.421 2.640 3.420 2.640 3.418 2.639 3.416 3.415 3.413 3.412 3.410 3.409 86 1.291 1.663 1.988 2.370 2.634 3.407 87 1.291 1.663 1.988 2.370 2.634 3.406 88 1.291 1.662 1.987 2.369 2.633 3.405 df 0 t Right-tailed test Confidence Intervals, c 90% 95% 98% 99% Level of Significance for One-Tailed Test, a 0.05 0.025 0.01 0.005 Level of Significance for Two-Tailed Test, a 0.20 0.10 0.05 0.02 0.01 36 1.306 1.688 2.028 2.434 2.719 2.431 2.715 37 1.305 1.687 2.026 38 1.304 1.686 2.024 2.429 2.023 2.426 39 1.304 1.685 40 1.303 1.684 2.021 2.423 80% 0.10 41 1.303 1.683 42 1.302 1.682 43 1.302 1.681 44 1.301 1.680 45 1.301 1.679 56 57 61 1.296 1.670 62 1.295 1.670 63 1.295 1.669 64 1.295 65 1.295 46 1.300 1.679 2.013 2.410 47 1.300 1.678 2012 48 1.299 1.677 2011 49 1.299 1.677 2.010 50 1.299 1.676 2.009 1.669 1.669 1.295 1.668 1.294 1.668 66 67 68 1.294 1.668 69 1.294 1.667 70 1.294 1.667 89 1.291 1.662 90 1.291 1.662 2.020 2018 2017 2015 2014 51 1.298 1.675 2.008 2.402 2.676 52 1.298 1.675 2.007 2.400 2,674 2.399 2.672 53 1.298 1.674 2.006 54 1.297 1.674 2.005 2.397 2.670 55 1.297 1.673 2.004 2.396 2.668 2.003 2.395 2.667 2.002 2.394 2.665 2.002 2.392 2.663 1.297 1.673 1.297 1.672 1.296 1.672 59 1.296 1.671 2.001 2.391 58 2.662 60 1.296 1.671 2.000 2.390 2.660 94 1.291 95 1.291 1.661 96 1.290 1.661 97 1.290 1.661 98 1.290 1.661 99 1.290 1.660 100 1.290 1.660 2.000 1.999 1.998 1.998 1.997 1.997 1.996 1.995 1.995 1.994 91 1.291 1.662 1.986 92 1.291 1.662 1.986 93 1.291 1.661 1.986 1.661 1.986 1.985 ta 1.987 1.987 1.985 1.985 1.984 1.984 1.984 2.421 2.701 2.418 2.698 2.416 2.695 2.414 2.692 2.412 2.690 2.408 2.407 2.405 2.403 -t 0 t Two-tailed test 2.712 2.708 2.704 2.369 2.368 2.389 2.659 2.388 2.657 2.387 2.656 2.386 2.655 2.385 2.654 2.368 2.368 2.367 2.367 2.366 2.687 2.685 2.682 2.680 2.678 2.384 2.383 2.382 2.382 2.381 2.648 2.366 2.365 2.652 2.651 2.650 2.649 2.632 2.632 2.628 2.627 2.365 2.627 2.365 2.626 2.364 2.626 2.358 2.617 120 1.289 1.658 140 1.288 1.656 1.980 1.977 2.353 2.611 2.350 2.607 160 1.287 1.654 1.975 180 1.286 1.653 1.973 2.347 2.603 200 1.286 1.653 1.972 2.345 1.282 1.645 1.960 2.326 2.601 2.576 99.9% B 0.0005 0.001 3.582 3.574 3.566 3.558 3.551 3.544 3.538 3.532 3.526 3.520 3.515 3.510 3.505 3.500 3.496 3.492 3.488 3.484 3.480 3.476 3.473 3.470 3.466 3.463 3.460 2.631 3.401 2.630 3.399 2.630 3.398 2.629 2.629 3.457 3.454 3.452 3.449 3.447 3.444 3.442 3.439 3.437 3.435 3.403 3.402 3.397 3.396 3.395 3.394 3.393 3.392 3.390 3.373 3.361 3.352 3.345 3.340 3.291 Z 0.0 0.1 0.2 0.3 0.4 - 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 0.00 0.0000 0.0398 0.0793 0.1179 0.1554 0.1915 0.2257 0.2580 0.2881 0.3159 0.3413 0.3643 0.3849 0.4032 0.4192 0.4332 0.4452 0.4554 0.4641 0.4713 0.4772 0.4821 0.4861 0.4893 0.4918 0.4938 0.4953 0.4965 0.4974 0.4981 0.4987 0.01 0.0040 0.0438 0.0832 0.1217 0.1591 0.1950 0.2291 0.2611 0.2910 0.3186 0.3438 0.3665 0.3869 0.4049 0.4207 0.4345 0.4463 0.4564 0.4649 0.4719 0.4778 0.4826 0.4864 0.4896 0.4920 0.4940 0.4955 0.4966 0.4975 0.4982 0.4987 ACILIPIC If z = 1.96, then P(0 to z) = 0.4750 0.02 0.0080 0.0478 0.0871 0.1255 0.1628 0.1985 0.2324 0.2642 0.2939 0.3212 0.3461 0.3686 0.3888 0.4066 0.4222 0.4357 0.4474 0.4573 0.4656 0.4726 0.4783 0.4830 0.4868 0.4898 0.4922 0.4941 0.4956 0.4967 0.4976 0.4982 0.4987 1- 0.03 0.0120 0.0517 0.0910 0.1293 0.1664 0.2019 0.2357 0.2673 0.2967 0.3238 0.3485 0.3708 0.3907 0.4082 0.4236 0.4370 0.4484 0.4582 0.4664 0.4732 0.4788 0.4834 0.4871 0.4901 0.4925 0.4943 0.4957 0.4968 0.4977 0.4983 0.4988 0.04 0.0160 0.0557 0.0948 0.1331 0.1700 0.2054 0.2389 0.2704 0.2995 0.3264 0.3508 0.3729 0.3925 0.4099 0.4251 0.4382 0.4495 0.4591 0.4671 0.4738 0.4793 0.4838 0.4875 0.4904 0.4927 0.4945 0.4959 0.4969 0.4977 0.4984 0.4988 0 0.4750 0.05 0.0199 0.0596 0.0987 0.1368 0.1736 0.2088 0.2422 0.2734 0.3023 0.3289 0.3531 0.3749 0.3944 0.4115 0.4265 0.4394 0.4505 0.4599 0.4678 0.4744 0.4798 0.4842 0.4878 0.4906 0.4929 0.4946 0.4960 0.4970 0.4978 0.4984 0.4989 1.96 0.06 0.0239 0.0636 0.1026 0.1406 0.1772 0.2123 0.2454 0.2764 0.3051 0.3315 0.3554 0.3770 0.3962 0.4131 0.4279 0.4406 0.4515 0.4608 0.4686 0.4750 0.4803 0.4846 0.4881 0.4909 0.4931 0.4948 0.4961 0.4971 0.4979 0.4985 0.4989 0.07 0.0279 0.0675 0.1064 0.1443 0.1808 0.2157 0.2486 0.2794 0.3078 0.3340 0.3577 0.3790 0.3980 0.4147 0.4292 0.4418 0.4525 0.4616 0.4693 0.4756 0.4808 0.4850 0.4884 0.4911 0.4932 0.4949 0.4962 0.4972 0.4979 0.4985 0.4989 0.08 0.0319 0.0714 0.1103 0.1480 0.1844 0.2190 0.2517 0.2823 0.3106 0.3365 0.3599 0.3810 0.3997 0.4162 0.4306 0.4429 0.4535 0.4625 0.4699 0.4761 0.4812 0.4854 0.4887 0.4913 0.4934 0.4951 0.4963 0.4973 0.4980 0.4986 0.4990 0.09 0.0359 0.0753 0.1141 0.1517 0.1879 0.2224 0.2549 0.2852 0.3133 0.3389 0.3621 0.3830 0.4015 0.4177 0.4319 0.4441 0.4545 0.4633 0.4706 0.4767 0.4817 0.4857 0.4890 0.4916 0.4936 0.4952 0.4964 0.4974 0.4981 0.4986 0.4990
Related questions
Question
You wish to estimate the mean number of travel days per year for salespeople. The mean of a small pilot study was 150 days, with a standard deviation of 38 days.
If you want to estimate the population mean with 95% confidence and a margin of error of 9 days, how many salespeople should you sample?
(Use t Distribution Table & z Distribution Table.) (Round z value to 3 decimal places and round your answer to the next whole number.)
What is the number of salespeople to be sampled?
Transcribed Image Text:df
12345
61899 HOBHS
7
0.20 0.10 0.05
3.078 6.314
12.706
1.886 2.920 4.303
1.638 2.353 3.182
1.533 2.132 2.776
1.476 2015
1.440 1.943
1.415 1.895
1.397 1.860
1.383 1.833
10 1.372 1.812
80%
14 1.345
15 1.341
16
17
11 1.363 1.796
12 1.356 1.782
13 1.350 1.771
1.761
1.753
0.10 0.05 0.025
t
Confidence interval
21 1.323 1.721
22 1.321 1.717
23 1.319 1.714
24 1.318 1.711
25 1.316 1.708
FERZE
Confidence Intervals, c
90% 95%
98%
99%
Level of Significance for One-Tailed Test,
0.01
0.005
Level of Significance for Two-Tailed Test, a
0.02
0.01
31.821
63.657
6.965 9.925
4.541
5.841
26 1.315 1.706
27 1.314 1.703
28 1.313 1.701
29 1.311 1.699
30 1.310 1.697
2.120
2.583
2.921
2.110 2.567 2.898
1.337 1.746
1.333 1.740
18 1.330 1.734 2.101 2.552 2.878
19 1.328 1.729 2.093
2.861
2.539
20 1.325
1.725
2.086
2.528
2.845
33 1.308 1.692
34 1.307
35 1.306
71 1.294
72 1.293
1.293
74 1.293
73
78
79
80
31 1.309 1.696
2.040 2.453 2.744
32 1.309 1.694 2.037 2.449 2.738
2.445
2.733
2.441
2.728
2.438
2.724
1.666
1.666
75 1.293 1.665
1.667
1.666
3.747 4.604
2.571 3.365 4.032
76 1.293 1.665
77 1.293 1.665
1.292 1.665
1.292 1.664
1.292 1.664
2.447 3.143 3.707
2.365 2.998 3.499
2.306 2.896 3.355
2.262 2.821 3.250
2.228 2.764 3.169
2.201
2.718 3.106
2.179 2.681 3.055
2.160
2.650
3.012
2.145
2.624
2.977
2.131 2.602 2.947
2.035
1.691 2.032
1.690
2.030
2.080
2.518
2.074
2.508
2.069 2.500 2.807
2.064 2.492 2.797
2.060 2.485 2.787
-t 0
Left-tailed test
2.056 2.479 2.779
2.052 2.473 2.771
2.048 2.467 2.763
2.045 2.462 2.756
2.042 2.457 2.750
1.994
1.993
1.993
1.993
1.992
1.992
1.991
1.991
1.990
1.990
81
1.292 1.664
1.990
82
1.292 1.664 1.989
1.292 1.663
83
84 1.292
1.663
85 1.292 1.663
1.989
1.988
2.831
2.819
2.375
2.374
2.374
2.373
2.373
1.989 2.372
2.376 2.642
2.376 2.641
99.9%
2.638
2.637
2.636
2.372 2.636
2.371
2.635
0.0005
0.001
636.619
31.599
12.924
8.610
6.869
5.959
5.408
5.041
4.781
4.587
4.437
4.318
4.221
4.140
4.073
4.015
3.965
3.922
3.883
3.850
2.380 2.647
3.433
2.379 2.646
3.431
2.379 2.645 3.429
2.378 2.644
3.427
2.377 2.643 3.425
3.819
3.792
3.768
3.745
3.725
3.707
3.690
3.674
3.659
3.646
3.633
3.622
3.611
3.601
3.591
3.423
3.421
2.640 3.420
2.640
3.418
2.639
3.416
3.415
3.413
3.412
3.410
3.409
86 1.291 1.663
1.988
2.370 2.634
3.407
87 1.291 1.663 1.988 2.370
2.634 3.406
88 1.291 1.662 1.987 2.369 2.633 3.405
df
0 t
Right-tailed test
Confidence Intervals, c
90% 95%
98%
99%
Level of Significance for One-Tailed Test, a
0.05 0.025
0.01 0.005
Level of Significance for Two-Tailed Test, a
0.20
0.10
0.05
0.02
0.01
36 1.306 1.688
2.028
2.434
2.719
2.431
2.715
37 1.305 1.687 2.026
38 1.304 1.686 2.024
2.429
2.023 2.426
39 1.304 1.685
40 1.303 1.684
2.021
2.423
80%
0.10
41 1.303
1.683
42 1.302 1.682
43 1.302 1.681
44 1.301 1.680
45 1.301 1.679
56
57
61 1.296 1.670
62 1.295 1.670
63
1.295
1.669
64 1.295
65 1.295
46 1.300 1.679 2.013 2.410
47 1.300 1.678
2012
48 1.299 1.677
2011
49 1.299 1.677 2.010
50 1.299 1.676
2.009
1.669
1.669
1.295 1.668
1.294 1.668
66
67
68 1.294 1.668
69 1.294 1.667
70 1.294 1.667
89 1.291
1.662
90 1.291 1.662
2.020
2018
2017
2015
2014
51 1.298 1.675
2.008
2.402
2.676
52 1.298 1.675
2.007
2.400
2,674
2.399 2.672
53 1.298 1.674 2.006
54 1.297 1.674 2.005 2.397 2.670
55 1.297 1.673 2.004 2.396 2.668
2.003 2.395 2.667
2.002 2.394 2.665
2.002 2.392 2.663
1.297 1.673
1.297 1.672
1.296 1.672
59 1.296 1.671 2.001 2.391
58
2.662
60 1.296 1.671
2.000
2.390
2.660
94 1.291
95 1.291 1.661
96 1.290 1.661
97 1.290
1.661
98 1.290 1.661
99 1.290 1.660
100 1.290 1.660
2.000
1.999
1.998
1.998
1.997
1.997
1.996
1.995
1.995
1.994
91 1.291 1.662
1.986
92 1.291 1.662 1.986
93 1.291
1.661
1.986
1.661
1.986
1.985
ta
1.987
1.987
1.985
1.985
1.984
1.984
1.984
2.421
2.701
2.418
2.698
2.416 2.695
2.414 2.692
2.412
2.690
2.408
2.407
2.405
2.403
-t 0 t
Two-tailed test
2.712
2.708
2.704
2.369
2.368
2.389
2.659
2.388 2.657
2.387
2.656
2.386
2.655
2.385
2.654
2.368
2.368
2.367
2.367
2.366
2.687
2.685
2.682
2.680
2.678
2.384
2.383
2.382
2.382
2.381 2.648
2.366
2.365
2.652
2.651
2.650
2.649
2.632
2.632
2.628
2.627
2.365 2.627
2.365 2.626
2.364 2.626
2.358 2.617
120 1.289 1.658
140 1.288 1.656
1.980
1.977
2.353 2.611
2.350 2.607
160 1.287 1.654 1.975
180 1.286 1.653 1.973 2.347 2.603
200 1.286
1.653 1.972 2.345
1.282 1.645 1.960
2.326
2.601
2.576
99.9%
B
0.0005
0.001
3.582
3.574
3.566
3.558
3.551
3.544
3.538
3.532
3.526
3.520
3.515
3.510
3.505
3.500
3.496
3.492
3.488
3.484
3.480
3.476
3.473
3.470
3.466
3.463
3.460
2.631
3.401
2.630 3.399
2.630
3.398
2.629
2.629
3.457
3.454
3.452
3.449
3.447
3.444
3.442
3.439
3.437
3.435
3.403
3.402
3.397
3.396
3.395
3.394
3.393
3.392
3.390
3.373
3.361
3.352
3.345
3.340
3.291
Transcribed Image Text:Z
0.0
0.1
0.2
0.3
0.4
-
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2.0
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
3.0
0.00
0.0000
0.0398
0.0793
0.1179
0.1554
0.1915
0.2257
0.2580
0.2881
0.3159
0.3413
0.3643
0.3849
0.4032
0.4192
0.4332
0.4452
0.4554
0.4641
0.4713
0.4772
0.4821
0.4861
0.4893
0.4918
0.4938
0.4953
0.4965
0.4974
0.4981
0.4987
0.01
0.0040
0.0438
0.0832
0.1217
0.1591
0.1950
0.2291
0.2611
0.2910
0.3186
0.3438
0.3665
0.3869
0.4049
0.4207
0.4345
0.4463
0.4564
0.4649
0.4719
0.4778
0.4826
0.4864
0.4896
0.4920
0.4940
0.4955
0.4966
0.4975
0.4982
0.4987
ACILIPIC
If z = 1.96, then
P(0 to z) = 0.4750
0.02
0.0080
0.0478
0.0871
0.1255
0.1628
0.1985
0.2324
0.2642
0.2939
0.3212
0.3461
0.3686
0.3888
0.4066
0.4222
0.4357
0.4474
0.4573
0.4656
0.4726
0.4783
0.4830
0.4868
0.4898
0.4922
0.4941
0.4956
0.4967
0.4976
0.4982
0.4987
1-
0.03
0.0120
0.0517
0.0910
0.1293
0.1664
0.2019
0.2357
0.2673
0.2967
0.3238
0.3485
0.3708
0.3907
0.4082
0.4236
0.4370
0.4484
0.4582
0.4664
0.4732
0.4788
0.4834
0.4871
0.4901
0.4925
0.4943
0.4957
0.4968
0.4977
0.4983
0.4988
0.04
0.0160
0.0557
0.0948
0.1331
0.1700
0.2054
0.2389
0.2704
0.2995
0.3264
0.3508
0.3729
0.3925
0.4099
0.4251
0.4382
0.4495
0.4591
0.4671
0.4738
0.4793
0.4838
0.4875
0.4904
0.4927
0.4945
0.4959
0.4969
0.4977
0.4984
0.4988
0
0.4750
0.05
0.0199
0.0596
0.0987
0.1368
0.1736
0.2088
0.2422
0.2734
0.3023
0.3289
0.3531
0.3749
0.3944
0.4115
0.4265
0.4394
0.4505
0.4599
0.4678
0.4744
0.4798
0.4842
0.4878
0.4906
0.4929
0.4946
0.4960
0.4970
0.4978
0.4984
0.4989
1.96
0.06
0.0239
0.0636
0.1026
0.1406
0.1772
0.2123
0.2454
0.2764
0.3051
0.3315
0.3554
0.3770
0.3962
0.4131
0.4279
0.4406
0.4515
0.4608
0.4686
0.4750
0.4803
0.4846
0.4881
0.4909
0.4931
0.4948
0.4961
0.4971
0.4979
0.4985
0.4989
0.07
0.0279
0.0675
0.1064
0.1443
0.1808
0.2157
0.2486
0.2794
0.3078
0.3340
0.3577
0.3790
0.3980
0.4147
0.4292
0.4418
0.4525
0.4616
0.4693
0.4756
0.4808
0.4850
0.4884
0.4911
0.4932
0.4949
0.4962
0.4972
0.4979
0.4985
0.4989
0.08
0.0319
0.0714
0.1103
0.1480
0.1844
0.2190
0.2517
0.2823
0.3106
0.3365
0.3599
0.3810
0.3997
0.4162
0.4306
0.4429
0.4535
0.4625
0.4699
0.4761
0.4812
0.4854
0.4887
0.4913
0.4934
0.4951
0.4963
0.4973
0.4980
0.4986
0.4990
0.09
0.0359
0.0753
0.1141
0.1517
0.1879
0.2224
0.2549
0.2852
0.3133
0.3389
0.3621
0.3830
0.4015
0.4177
0.4319
0.4441
0.4545
0.4633
0.4706
0.4767
0.4817
0.4857
0.4890
0.4916
0.4936
0.4952
0.4964
0.4974
0.4981
0.4986
0.4990
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