TABLE A.I z ,0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.18 0.19 0.20 0.21 0.22 0.23 0.24 0.25 Area Between the Mean and Z (in Percent) in the Normal Distribution Area (%) 0.000 0.399 0.798 1.197 1.596 1.995 2.393 2.791 3.189 3.587 3.984 4.381 4.777 5.173 5.568 5.963 6.357 6.750 7.143 7.535 7.927 8.317 8.707 9.096 9.484 9.871 z 0.35 0.36 0.37 0.38 0.39 0.40 0.41 0.42 0.43 0.44 0.45 0.46 0.47 0.48 0.49 0.50 0.51 0.52 0.53 0.54 0.55 0.56 0.57 0.58 0.59 0.60 0.61 0.62 0.63 0.64 0.65 0.66 0.67 0.68 0.69 Area (%) 13.683 14.057 14.430 14.802 15.172 15.541 15.909 16.275 16.639 17.002 17.363 17.723 18.081 18.438 18.792 19.145 19.496 19.846 20.193 20.539 20.883 21.225 21.565 21.903 22.239 22.574 22.906 23.236 23.564 23.890 24.214 24.536 24.856 25.174 25.490 Z 0.70 0.71 0.72 0.73 0.74 0.75 0.76 0.77 0.78 0.79 0.80 0.81 0.82 0.83 0.84 0.85 0.86 0.87 0.88 0.89 0.90 0.91 0.92* 0.93 0.94 0.95 0.96 0.97 0.98 0.99 1.00 877.236.1617 951.343.390 Fax: 951.358M www.cbuonline du Area (%) 25.803 26.114 26.423 26.730 27.034 27.337 27.63T 27.935* 28.230 28.523 28.814 29.103 29.389 29.673 29.955 30.234 30.511 30.785 31.057 31.327 31.594 31.859 32.122 32.382 32.640 32.895 , 33.148 33.398 33.M 33.892 34.135 Z 1.01 1.02 1.03 1.04 1.05 1.06 1.07 1.08 1.09 1.10 1.11 1.12 1.13 1.14 1.15 1.16 1.17 1.18 1.19 1.20 1.21 1.22 1.23 1.24 1.25 1.26 1.27 1.28 1.29 1.30 1.31 1.32 1.33 1.34 1.35 314 0.26 0.27 0.28 0.29 0.30 0.31 0.32 0.33 0.34 316 10.257 10.642 11.026 11.409 11.791 12.172 12.551 12.930 13.307 z 2.01 2.02 2.03 2.04 2.05 2.06 2.07 2.08 2.09 2.10 2.11 2.12 2.13 2.14 2.15 2.16 2.17 2.18 2.19 2.20 2.21 2.22 2.23 2.24 2.25 2.26 2.27 2.28 2.29 2.30 2.31 2.32 2.33 2.34 2.35 Area (%) 47.778 47.830 47.881 47.932 47.981 48.029 48.076 48.123 48.168 48.213 48.256 48.299 48.340 48.381 48.421 48.460 48.499 48.536 48.573 48.609 48.644 48.678 48.712 48.744 48.776 48.808 48.839 48.869 48.898 48.926 48.954 48.982 49.009 49.035 49.060 z 2.36 2.37 2.38 2.39 2.40 2.41 2.42 2.43 2.44 2.45 2.46 2.47 2.48 2.49 2.50 2.51 2.52 2.53 2.54 2.55 2.56 2.57 2.58 2.59 2.60 2.61 2.62 2.63 2.64 2.65 2.66 2.67 2.68 2.69 2.70 Area (%) 49.085 49.110 49.133 49.157 49.179 49.201 49.223 49.244 49.265 49.285 49.304 49.323 49.342 49.360 49.378 49.395 49.412 49.429 49.445 49.460 49.476 49.491 49.505 49.519 49.533 49.546 49.559 49.572 49.585 49.597 49.608 49.620 49.631 49.642 49.652 Z 2.71 2.72 2.73 2.74 2.75 2.76 2.77 2.78 2.79 2.81 2.81 2.82 2.83 2.84 2.85 2.86 2.87 2.88 2.89 2.91 2.91 2.92 2.93 2.94 2.95 2.96 2.97 2.98 2.99 3.00 3.10 3.20 3.30 3.40 3.50 4.00 4.50 5.00 Area (%) 49.663 49.673 49.683 49.692 49.701 49.710 49.719 49.727 49.736 49.744 49.752 49.759 49.767 49.774 49.781 49.788 49.794 49.801 49.807 49.813 49.819 49.824 49.830 49.835 49.841 49.851 49.855 49.860 49.865 49.903 49.931 49.951 49.966 49.977 49.997 49.998 50.000 Area 34.37 34.61 34.85 35.08. 35.31: 35.54 35.77( 35.994 36.215 36.434 36.651 36.865 37.077 37.287 37.494 37.699 37.901 38.101 38.299 38.494 38.687 38.878 39.066 39.252 39.436 39.618 39.797 39.974 40.148 40.321 40.491 40.659 40.825 40.989 41.150 TABLE A.2 Critic 1 2 3 4 5 6 7 8 9 10 11 12 13 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 i: Area (%) 25.803 26.114 26.423 26.730 27.034 27.337 27.637 27.935 28.230 28.523 28.814 29.103 29.389 29.673 29.955 30234 30.511 30.785 31.057 31.327 31.594 31.859 32.122 32.382 ?2.640 32.895 3.148 3.398 3.646 3.892 .135 Tabled values were generated using LabVIEW programming software. Z 1.01 1.02 1.03 1.04 1.05 1.06 1.07 1.08 1.09 1.10 1.11 1.12 1.13 1.14 1.15 1.16 1.17 1.18 1.19 1.20 1.21 1.22 1.23 1.24 1.25 1.26 1.27 1.28 1.29 1.30 1.31 1.32 1.33 1.34 1.35 Califotnid gapvst Vntvecsiiy Area (%) 34.376 34.614 34.850 35.084 35.315 35.544 35.770 35.994 36.215 36.434 36.651 36.865 37.077 37.287 37.494 37.699 37.901 38.101 38.299 38.494 38.687 38.878 39.066 39.252 39.436 39.618 39.797 39.974 40.148 40.321 40.491 40.659 40.825 40.989 41.150 z 1.36 1.37 1.38 1.39 1.40 1.41 1.42 1.43 1.44 1.45 1.46 1.47 1.48 1.49 1.50 I'.SI 1.52 1.53 1.54 1.55 1.56 1.57 1.58 1.59 1.60 1.61 1.62 1.63 1.64 1.65 I .66 1.67 1.68 1.69 1.70 TABLE A-2 Area (%) 41.309 41.467 41.622 41.774 41.925 42.074 42.220 42.365 42.507 42.648 42.786 42.923 43.057 43.189 43.320 43.448 43.575 43.700 43.822 43.943 44.062 44.18 44.295 44.409 44.520 44.630 44.739 44.845 44.950 45.053 45.154 45.254 45.352 45.449 45.543 Z 1.71 1.72 1.73 1.74 1.75 1.76 1.77 1.78 1.79 1.80 1.81 1.82 1.83 1.84 1.85 1.86 1.87 1.88 1.89 1.90 1.91 1.92 1.93 1.94 1.95 1.96 1.97 1.98 1.99 2.00 Area (%) 45.637 45.728 45.818 45.907 45.994 46.079 46.163 46.246 46.327 46.407 46.485 46.562 46.637 46.711 46.784 46.855 46.925 46.994 47.061 47.128 47.193 47.256 47.319 47.380 47.440 47.499 47.557 47.614 47.670 47.724 (continued) 315 Online and Professional Studies. 10370 Hemet Street.qverside. California 92503 Fax: 951.358.1181 www.cbuonline.edu Critical Values of the Correlation Coeffcient (r) Z 2.71 2.72 2.73 2.74 2.75 2.76 2.77 2.78 2.79 2.81 2.81 2.82 2.83 2.84 2.85 2.86 2.87 2.88 2.89 2.91 2.91 2.92 2.93 2.94 2.95 2.96 2.97 2.98 2.99 Area (%) 49.663 49.673 49.683 49.692 49.701 49.710 49.719 49.727 49.736 49.744 49.752 49.759 49.767 49.774 49.781 49.788 49.794 49.801 49.807 49.813 3.00 3.10 3.20 3.30 3.40 3.50 4.00 4.50 5.00 49.819 49.824 49.830 49.835 49.841 49.846 49.851 49.855 49.860 49.865 49.903 49.931 49.951 49.966 49.977 49.991 49.998 50.000 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 .10 0.988 0.900 0.805 0.729 0.669 0.621 0.582 0.549 0.521 0.497 0.476 0.458 0.441 0.426 0.412 0.400 0.389 0.378 0.369 0.360 0.352 O. 344 0.337 0.330 0.323 0.317 0.312 0.306 0.301 0.296 0.291 0.287 0.283 0.279 0.275 0.271 0.267 0.264 0.260 0.257 0.254 0.251 0.248 0.246 0.243 0.240 0.238 0.235 0.233 a = .10 0.231 0.228 0.226 0.224 0.222 0.220 0.218 0.216 0.214 0.213 0.211 0.209 0.207 0.206 0.204 0.203 0.201 0.200 0.198 0.197 0.195 0.194 0.193 0.191 0.190 0.189 .05 0.997 0.950 0.878 0.811 0.754 0.707 0.666 0.632 0.602 0.576 0.553 0.532 0.514 0.497 0.482 0.468 0.456 0.444 0.433 0.423 0.413 0.404 0.396 0.388 0.381 0.374 0.367 0.361 0.355 0.349 0.344 0.339 0.334 0.329 0.325 0.320 0.316 0.312 0.308 0.304 0.301 0.297 0.294 0.291 0.288 0.285 0.282 0.279 0.276 a = .05 0.273 0.271 0.268 0.266 0.263 0.261 0.259 0.256 0.254 0.252 0.250 0.248 0.246 0.244 0.242 0.240 0.239 0.237 0.235 0.234 0.232 0.230 0.229 0.227 0.226 0.224 = .025 0.999 0.975 0.924 0.868 0.817 0.771 0.732 0.697 0.667 0.640 0.616 0.594 0.575 0.557 0.541 0.526 0.512 0.499 0.487 0.476 0.466 0.456 0.447 0.439 0.430 0.423 0.415 0.409 0.402 0.396 0.390 0.384 0.378 0.373 0.368 0.363 0.359 0.354 0.350 0.346 0.342 0.338 0.334 0.330 0.327 0.323 0.320 0.317 0.314 = .025 0.311 0.308 0.305 0.302 0.299 0.297 0.294 0.292 0.289 0.287 0.285 0.282 0.280 0.278 0.276 0.274 0.272 0.270 0.268 0.266 0.264 0.262 0.260 0.259 0.257 a = .01 1 0.990 0.959 0.917 0.875 0.834 0.798 0.765 0.735 0.708 0.684 0.661 0.641 0.623 0.606 0.590 0.575 0.561 0.549 0.537 0.526 0.515 0.505 0.496 0.487 0.479 0.471 0.463 0.456 0.449 0.442 0.436 0.430 0.424 0.418 0.413 0.408 0.403 0.398 0.393 0.389 0.384 0.380 0.376 0.372 0.368 0.365 0.361 0.358 (continued) = .01 0.354 0.351 0.348 0.345 0.341 0.339 0.336 0.333 0.330 0.327 0.325 0.322 0.320 0.317 0.315 0.313 0.310 0.308 0.306 0.304 0.302 0.300 0.298 0.296 0.294 317 Oil TABLE A.I z ,0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.18 0.19 0.20 0.21 0.22 0.23 0.24 0.25 Area Between the Mean and Z (in Percent) in the Normal Distribution Area (%) 0.000 0.399 0.798 1.197 1.596 1.995 2.393 2.791 3.189 3.587 3.984 4.381 4.777 5.173 5.568 5.963 6.357 6.750 7.143 7.535 7.927 8.317 8.707 9.096 9.484 9.871 z 0.35 0.36 0.37 0.38 0.39 0.40 0.41 0.42 0.43 0.44 0.45 0.46 0.47 0.48 0.49 0.50 0.51 0.52 0.53 0.54 0.55 0.56 0.57 0.58 0.59 0.60 0.61 0.62 0.63 0.64 0.65 0.66 0.67 0.68 0.69 Area (%) 13.683 14.057 14.430 14.802 15.172 15.541 15.909 16.275 16.639 17.002 17.363 17.723 18.081 18.438 18.792 19.145 19.496 19.846 20.193 20.539 20.883 21.225 21.565 21.903 22.239 22.574 22.906 23.236 23.564 23.890 24.214 24.536 24.856 25.174 25.490 Z 0.70 0.71 0.72 0.73 0.74 0.75 0.76 0.77 0.78 0.79 0.80 0.81 0.82 0.83 0.84 0.85 0.86 0.87 0.88 0.89 0.90 0.91 0.92* 0.93 0.94 0.95 0.96 0.97 0.98 0.99 1.00 877.236.1617 951.343.390 Fax: 951.358M www.cbuonline du Area (%) 25.803 26.114 26.423 26.730 27.034 27.337 27.63T 27.935* 28.230 28.523 28.814 29.103 29.389 29.673 29.955 30.234 30.511 30.785 31.057 31.327 31.594 31.859 32.122 32.382 32.640 32.895 , 33.148 33.398 33.M 33.892 34.135 Z 1.01 1.02 1.03 1.04 1.05 1.06 1.07 1.08 1.09 1.10 1.11 1.12 1.13 1.14 1.15 1.16 1.17 1.18 1.19 1.20 1.21 1.22 1.23 1.24 1.25 1.26 1.27 1.28 1.29 1.30 1.31 1.32 1.33 1.34 1.35 314 0.26 0.27 0.28 0.29 0.30 0.31 0.32 0.33 0.34 316 10.257 10.642 11.026 11.409 11.791 12.172 12.551 12.930 13.307 z 2.01 2.02 2.03 2.04 2.05 2.06 2.07 2.08 2.09 2.10 2.11 2.12 2.13 2.14 2.15 2.16 2.17 2.18 2.19 2.20 2.21 2.22 2.23 2.24 2.25 2.26 2.27 2.28 2.29 2.30 2.31 2.32 2.33 2.34 2.35 Area (%) 47.778 47.830 47.881 47.932 47.981 48.029 48.076 48.123 48.168 48.213 48.256 48.299 48.340 48.381 48.421 48.460 48.499 48.536 48.573 48.609 48.644 48.678 48.712 48.744 48.776 48.808 48.839 48.869 48.898 48.926 48.954 48.982 49.009 49.035 49.060 z 2.36 2.37 2.38 2.39 2.40 2.41 2.42 2.43 2.44 2.45 2.46 2.47 2.48 2.49 2.50 2.51 2.52 2.53 2.54 2.55 2.56 2.57 2.58 2.59 2.60 2.61 2.62 2.63 2.64 2.65 2.66 2.67 2.68 2.69 2.70 Area (%) 49.085 49.110 49.133 49.157 49.179 49.201 49.223 49.244 49.265 49.285 49.304 49.323 49.342 49.360 49.378 49.395 49.412 49.429 49.445 49.460 49.476 49.491 49.505 49.519 49.533 49.546 49.559 49.572 49.585 49.597 49.608 49.620 49.631 49.642 49.652 Z 2.71 2.72 2.73 2.74 2.75 2.76 2.77 2.78 2.79 2.81 2.81 2.82 2.83 2.84 2.85 2.86 2.87 2.88 2.89 2.91 2.91 2.92 2.93 2.94 2.95 2.96 2.97 2.98 2.99 3.00 3.10 3.20 3.30 3.40 3.50 4.00 4.50 5.00 Area (%) 49.663 49.673 49.683 49.692 49.701 49.710 49.719 49.727 49.736 49.744 49.752 49.759 49.767 49.774 49.781 49.788 49.794 49.801 49.807 49.813 49.819 49.824 49.830 49.835 49.841 49.851 49.855 49.860 49.865 49.903 49.931 49.951 49.966 49.977 49.997 49.998 50.000 Area 34.37 34.61 34.85 35.08. 35.31: 35.54 35.77( 35.994 36.215 36.434 36.651 36.865 37.077 37.287 37.494 37.699 37.901 38.101 38.299 38.494 38.687 38.878 39.066 39.252 39.436 39.618 39.797 39.974 40.148 40.321 40.491 40.659 40.825 40.989 41.150 TABLE A.2 Critic 1 2 3 4 5 6 7 8 9 10 11 12 13 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 i: Area (%) 25.803 26.114 26.423 26.730 27.034 27.337 27.637 27.935 28.230 28.523 28.814 29.103 29.389 29.673 29.955 30234 30.511 30.785 31.057 31.327 31.594 31.859 32.122 32.382 ?2.640 32.895 3.148 3.398 3.646 3.892 .135 Tabled values were generated using LabVIEW programming software. Z 1.01 1.02 1.03 1.04 1.05 1.06 1.07 1.08 1.09 1.10 1.11 1.12 1.13 1.14 1.15 1.16 1.17 1.18 1.19 1.20 1.21 1.22 1.23 1.24 1.25 1.26 1.27 1.28 1.29 1.30 1.31 1.32 1.33 1.34 1.35 Califotnid gapvst Vntvecsiiy Area (%) 34.376 34.614 34.850 35.084 35.315 35.544 35.770 35.994 36.215 36.434 36.651 36.865 37.077 37.287 37.494 37.699 37.901 38.101 38.299 38.494 38.687 38.878 39.066 39.252 39.436 39.618 39.797 39.974 40.148 40.321 40.491 40.659 40.825 40.989 41.150 z 1.36 1.37 1.38 1.39 1.40 1.41 1.42 1.43 1.44 1.45 1.46 1.47 1.48 1.49 1.50 I'.SI 1.52 1.53 1.54 1.55 1.56 1.57 1.58 1.59 1.60 1.61 1.62 1.63 1.64 1.65 I .66 1.67 1.68 1.69 1.70 TABLE A-2 Area (%) 41.309 41.467 41.622 41.774 41.925 42.074 42.220 42.365 42.507 42.648 42.786 42.923 43.057 43.189 43.320 43.448 43.575 43.700 43.822 43.943 44.062 44.18 44.295 44.409 44.520 44.630 44.739 44.845 44.950 45.053 45.154 45.254 45.352 45.449 45.543 Z 1.71 1.72 1.73 1.74 1.75 1.76 1.77 1.78 1.79 1.80 1.81 1.82 1.83 1.84 1.85 1.86 1.87 1.88 1.89 1.90 1.91 1.92 1.93 1.94 1.95 1.96 1.97 1.98 1.99 2.00 Area (%) 45.637 45.728 45.818 45.907 45.994 46.079 46.163 46.246 46.327 46.407 46.485 46.562 46.637 46.711 46.784 46.855 46.925 46.994 47.061 47.128 47.193 47.256 47.319 47.380 47.440 47.499 47.557 47.614 47.670 47.724 (continued) 315 Online and Professional Studies. 10370 Hemet Street.qverside. California 92503 Fax: 951.358.1181 www.cbuonline.edu Critical Values of the Correlation Coeffcient (r) Z 2.71 2.72 2.73 2.74 2.75 2.76 2.77 2.78 2.79 2.81 2.81 2.82 2.83 2.84 2.85 2.86 2.87 2.88 2.89 2.91 2.91 2.92 2.93 2.94 2.95 2.96 2.97 2.98 2.99 Area (%) 49.663 49.673 49.683 49.692 49.701 49.710 49.719 49.727 49.736 49.744 49.752 49.759 49.767 49.774 49.781 49.788 49.794 49.801 49.807 49.813 3.00 3.10 3.20 3.30 3.40 3.50 4.00 4.50 5.00 49.819 49.824 49.830 49.835 49.841 49.846 49.851 49.855 49.860 49.865 49.903 49.931 49.951 49.966 49.977 49.991 49.998 50.000 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 .10 0.988 0.900 0.805 0.729 0.669 0.621 0.582 0.549 0.521 0.497 0.476 0.458 0.441 0.426 0.412 0.400 0.389 0.378 0.369 0.360 0.352 O. 344 0.337 0.330 0.323 0.317 0.312 0.306 0.301 0.296 0.291 0.287 0.283 0.279 0.275 0.271 0.267 0.264 0.260 0.257 0.254 0.251 0.248 0.246 0.243 0.240 0.238 0.235 0.233 a = .10 0.231 0.228 0.226 0.224 0.222 0.220 0.218 0.216 0.214 0.213 0.211 0.209 0.207 0.206 0.204 0.203 0.201 0.200 0.198 0.197 0.195 0.194 0.193 0.191 0.190 0.189 .05 0.997 0.950 0.878 0.811 0.754 0.707 0.666 0.632 0.602 0.576 0.553 0.532 0.514 0.497 0.482 0.468 0.456 0.444 0.433 0.423 0.413 0.404 0.396 0.388 0.381 0.374 0.367 0.361 0.355 0.349 0.344 0.339 0.334 0.329 0.325 0.320 0.316 0.312 0.308 0.304 0.301 0.297 0.294 0.291 0.288 0.285 0.282 0.279 0.276 a = .05 0.273 0.271 0.268 0.266 0.263 0.261 0.259 0.256 0.254 0.252 0.250 0.248 0.246 0.244 0.242 0.240 0.239 0.237 0.235 0.234 0.232 0.230 0.229 0.227 0.226 0.224 = .025 0.999 0.975 0.924 0.868 0.817 0.771 0.732 0.697 0.667 0.640 0.616 0.594 0.575 0.557 0.541 0.526 0.512 0.499 0.487 0.476 0.466 0.456 0.447 0.439 0.430 0.423 0.415 0.409 0.402 0.396 0.390 0.384 0.378 0.373 0.368 0.363 0.359 0.354 0.350 0.346 0.342 0.338 0.334 0.330 0.327 0.323 0.320 0.317 0.314 = .025 0.311 0.308 0.305 0.302 0.299 0.297 0.294 0.292 0.289 0.287 0.285 0.282 0.280 0.278 0.276 0.274 0.272 0.270 0.268 0.266 0.264 0.262 0.260 0.259 0.257 a = .01 1 0.990 0.959 0.917 0.875 0.834 0.798 0.765 0.735 0.708 0.684 0.661 0.641 0.623 0.606 0.590 0.575 0.561 0.549 0.537 0.526 0.515 0.505 0.496 0.487 0.479 0.471 0.463 0.456 0.449 0.442 0.436 0.430 0.424 0.418 0.413 0.408 0.403 0.398 0.393 0.389 0.384 0.380 0.376 0.372 0.368 0.365 0.361 0.358 (continued) = .01 0.354 0.351 0.348 0.345 0.341 0.339 0.336 0.333 0.330 0.327 0.325 0.322 0.320 0.317 0.315 0.313 0.310 0.308 0.306 0.304 0.302 0.300 0.298 0.296 0.294 317 Oil 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 0.191 0.190 0.189 0.188 0.186 0.185 0.184 0.183 0.182 0.181 0.180 0.179 0.178 0.176 0.175 0.174 0.174 0.173 0.172 0.171 0.170 0.169 0.168 0.167 0.166 0.165 0.165 0.016 0.227 0.226 0.224 0.223 0.221 0.220 0.219 0.217 0.216 0.215 0.213 0.212 0.211 0.210 0.208 0.207 0.206 0.205 0.204 0.203 0.202 0.201 0.200 0.199 0.198 0.197 0.196 0.020 values were generated using LabVIEW programming software. 318 \ . .11 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 Critical t (a = .10) 1.676 1.675 1.675 1.674 1.674 1.673 1.673 1.672 1.672 1.671 1.671 1.670 1.670 1.669 1.669 1.669 1.668 1.668 1.668 1.667 1.667 1.667 I .666 1.666 1.666 1.665 1.665 1.665 1.665 1.664 I .664 1.664 1.664 1.663 1.663 1.663 1.663 1.663 1.662 1.662 1.662 1.662 1.662 1.661 1.661 1.661 1.661 1.661 1.661 1.660 1.645 Critical t (a = .05) 2.009 2.008 2.007 2.006 2.005 2.004 2.003 2.002 2.002 2.001 2.000 2.000 1.999 1.998 1.998 1.997 1.997 1.996 1.995 1.995 1.994 1.994 1.993 1.993 1.993 1.992 1.992 1.991 1.991 1.990 1.990 1.990 1.989 1.989 1.989 1.988 1.988 1.988 1.987 1.987 1.987 1.986 1.986 1.986 1.986 1.985 1.985 1.985 1.985 1.984 1.960 0.259 0.257 0.255 0.254 0.252 0.251 0.249 0.247 0.246 0.244 0.243 0.242 0.240 0.239 0.238 0.236 0.235 0.234 0.232 0.231 0.230 0.229 0.228 0.226 0.225 0.224 0.223 0.022 Critical t (a = .025) 2.311 2.310 2.308 2.307 2.306 2.304 2.303 2.302 2.301 2.300 2.299 2.298 2.297 2.296 2.295 2.295 2.294 2.293 2.292 2.291 2.291 2.29 2.289 2.289 2.288 2.287 2.287 2.286 2.286 2.285 2.284 2.284 2.283 2.283 2.282 2.282 2.281 2.281 2.280 2.280 2.280 2.279 2.279 2.278 2.278 2.277 2.277 2.277 2.276 2.276 2.242 0.298 0.296 0.294 0.292 0.290 0.288 0.286 0.285 0.283 0.281 0.280 0.278 0.276 0.275 0.273 0.272 0.270 0.269 0.267 0.266 0.264 0.263 0.262 0.260 0.259 0.255 Critical t .01) 2.678 2.676 2.674 2.672 2.670 2.668 2.667 2.665 2.663 2.662 2.660 2.659 2.658 2.656 2.655 2.654 2.652 2.651 2.650 2.649 2.648 2.647 2.646 2.645 2.644 2.643 2.642 2.641 2.640 2.640 2.639 2.638 2.637 2.636 2.636 2.635 2.634 2.634 2.633 2.632 2.632 2.631 2.630 2.630 2.629 2.629 2.628 2.628 2.627 2.626 2.516 Tabled were generated using LabVIEW programming software. 2 2 2 2 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 TABLE A.3b Cr 1 2 3 4 5 6 7 8 9 10 11 12 13 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 320 Califotnt degust Untve.stt' Online ond Studies. He-me' Street, 92503 877.236.1617 www.cbuonline.edu TABLE A.3a Critical Values of the Student's t Distribution for Two-Tailed Tests a = .025 0.311 0.308 0.305 0.302 0.299 0.297 0.294 0.292 0.289 0.287 0.285 0.282 0.280 0.278 0.276 0.274 0.272 0.270 0.268 0.266 0.264 0.262 0.260 0.259 0.257 0.255 0.254 0.252 0.251 0.249 0.247 0.246 0.244 0.243 0.242 0.240 0.239 0.238 0.236 0.235 0.234 0.232 0.231 0.230 0.229 0.228 0.226 0.225 0.224 0.223 0.022 a = .01 0.354 0.351 0.348 0.345 0.341 0.339 0.336 0.333 0.330 0.327 0.325 0.322 0.320 0.317 0.315 0.313 0.310 0.308 0.306 0.304 0.302 0.300 0.298 0.296 0.294 0.292 0.290 0.288 0.286 0.285 0.283 0.281 0.280 0.278 0.276 0.275 0.273 0.272 0270 0.269 0.261 0.266 0.264 0.263 0.262 (1260 0.259 0.258 0.256 0.255 0.026 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 Critical t (a = .10) 6.314 2.920 2.353 2.132 2.015 1.943 1.895 1.860 1.833 1.813 1.796 1.782 1.771 1.761 1.753 1.746 1.740 1.734 1.729 1.725 1.721 1.717 1.714 1.711 1.708 1.706 1.703 1.701 1.699 1.697 1.696 1.694 1.692 1.691 1.690 1.688 1.687 1.686 1.685 1.684 1.683 1.682 1.681 1.680 1.679 1.679 1.678 1.677 1.677 Critical t (a = .05) 12.706 4.303 3.183 2.776 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 2.120 2.110 2.101 2.093 2.086 2.080 2.074 2.069 2.064 2.060 2.056 2.052 2.048 2.045 2.042 2.040 2.037 2.035 2.032 2.030 2.028 2.026 2.024 2.023 2.021 2.020 2.018 2.017 2.015 2.014 2.013 2.012 2.011 2.010 Critical t (a = .025) 25.452 6.205 4.177 3.495 3.163 2.969 2.841 2.752 2.685 2.634 2.593 2.560 2.533 2.510 2.490 2.473 2.458 2.445 2.434 2.423 2.414 2.405 2.398 2.391 2.385 2.379 2.373 2.368 2.364 2.360 2.356 2.352 2.348 2.345 2.342 2.339 2.336 2.334 2.331 2.329 2.327 2.325 2.323 2.321 2.319 2.317 2.315 2.314 2.312 Critical t (a = .01) 63.657 9.925 5.841 4.604 4.032 3.707 3.500 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 2.921 2.898 2.878 2.861 2.845 2.831 2.819 2.807 2.797 2.787 2.779 2.771 2.763 2.756 2.750 2.744 2.739 2.733 2.728 2.724 2.720 2.715 2.712 2.708 2.704 2.701 2.698 2.695 2.692 2.690 2.687 2.685 2.682 2.680 (continued) 319 rn Cbu online California Baptist University 322 Online and Professional Studies, 10370 Hemet Street, Riverside, California 92503 877.236.1617 951.343.3900 Fax: 951.358.1181 www.cbuonline.edu LIVE YOUR PURPOS Critical t (a = .10) 1.299 1.298 1.298 1.298 1.297 1.297 1.297 1.297 1.296 1.296 1.296 1.296 1.295 1.295 1.295 1.295 1.295 1.294 1.294 1.294 1.294 1.294 1.293 1.293 1.293 1.293 1.293 1.293 1.293 1.292 1.292 1.292 1.292 1.292 1.292 1.292 1.291 1.291 1.291 1.291 1.291 1.291 1.291 1.291 1.291 1.291 1.290 1.290 1.290 1.290 1.282 Critical t (a = .05) 1.676 1.675 1.675 I .674 1.674 1.673 1.673 1.672 1.672 1.671 1.671 1.670 1.670 1.669 1.669 1.669 1.668 1.668 1.668 1.667 1.667 1.667 1.666 1.666 1.666 1.665 1.665 1.665 1.665 1.664 1.664 1.664 1.664 1.663 1.663 1.663 1.663 1.663 1.662 1.662 1.662 1.662 1.662 1.661 1.661 1.661 1.661 1.661 1.661 1.660 1.645 Critical t (a = .025) 2.009 2.008 2.007 2.006 2.005 2.004 2.003 2.002 2.002 2.001 2.000 2.000 1.999 1.998 1.998 1.997 1.997 1.996 1.995 1.995 1.994 1.994 1.993 1.993 1.993 1.992 1.992 1.991 1.991 1.990 1.990 1.990 1.989 1.989 1.989 1.988 1.988 1.988 1.987 1.987 1.987 1.986 1.986 1.986 1.986 1.985 1.985 1.985 1.985 1.984 1.960 Critical t (a -.01) 2.403 2.402 2.400 2.399 2.397 2.396 2.395 2.394 2.392 2.391 2.390 2.389 2.388 2.387 2.386 2.385 2.384 2.383 2.382 2.382 2.381 2.380 2.379 2.379 2.378 2.377 2.376 2.376 2.375 2.375 2.374 2.373 2.373 2.372 2.372 2.371 2.371 2.370 2370 2.369 2.369 2.368 2.368 2.361 2.367 2.366 2366 2.366 2.365 2.365 2.327 3 41 42 49 Tabled values were generated using LabVIEW programming software. Critical t (a = .025) 2.311 2.310 2.308 2.307 2.306 2.304 2.303 2.302 2.301 2.300 2.299 2.298 2.297 2.296 2.295 2.295 2.294 2.293 2.292 2.291 2.291 2.29 2.289 2.289 2.288 2.287 2.287 2.286 2.286 2.285 2.284 2.284 2.283 2.283 2.282 2.282 2.281 2.281 2.280 2.280 2.280 2.279 2.279 2.278 2.278 2.277 2.277 2.277 2.276 2.276 2.242 Critical t @ = .01) 2.678 2.676 2.674 2.672 2.670 2.668 2.667 2.665 2.663 2.662 2.660 2.659 2.658 2.656 2.655 2.654 2.652 2.651 2.650 2.649 2.648 2.647 2.646 2.645 2.644 2.643 2.642 2.641 2.640 2.640 2.639 2.638 2.637 2.636 2.636 2.635 2.634 2.634 2.633 2.632 2.632 2.63] 2.630 2.630 2629 2629 2.628 2.628 2627 2.626 2.576 877.236.1617 951.343.3900 TABLE A.3b Fax: 951.358.1181 .c uonline.edu Critical Values of the Student's t D shhbtmon for One-Tailed Tests df 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 35 36 37 38 39 40 41 42 43 4-4 45 46 47 48 49 Critical t (a = .10) 3.078 1.886 1.638 1.533 1.476 1.440 1.415 1.397 1.383 1.372 1.363 1.356 1.350 1.345 1.341 1.337 1.333 1.330 1.328 1.325 1.323 1.321 1.319 1.318 1.316 1.315 1.314 1.313 1.311 1.310 1.310 1.309 1.308 1.307 1.306 1.306 1.305 1.304 1.304 1.303 1.303 1.302 1.302 1.301 1.301 1.300 1.300 1.299 1.299 Critical t (a -.05) 6.314 2.92 2.353 2.132 2.015 1.943 1.895 1.860 1.833 1.813 1.796 1.782 1.771 1.761 1.753 1.746 1.740 1.734 1.729 1.725 1.721 1.717 1.714 1.711 1.708 1.706 1.703 1.701 1.699 1.697 1.696 1.694 1.692 1.691 1.690 1.688 1.687 1.686 1.685 1.684 1.683 1.682 1.681 1.680 1.679 1.679 1.678 1.677 1.677 Critical t (a =.025) 12.706 4.303 3.183 2.776 2.571 2.447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 2.120 2.110 2.101 2.093 2.086 2.080 2.074 2.069 2.064 2.060 2.056 2.052 2.048 2.045 2.042 2.040 2.037 2.035 2.032 2.030 2.028 2.026 2.024 2.023 2.021 2.020 2.018 2.017 2.015 2.014 2.013 2.012 2.011 2.010 Critical t (a -.01) 31.821 6.965 4.541 3.747 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 2.650 2.625 2.602 2.583 2.567 2.552 2.540 2.528 2.518 2.508 2.500 2.492 2.485 2.479 2.473 2.467 2.462 2.457 2.453 2.449 2.445 2.438 2.435 2.431 2.429 2.426 2.423 2.421 2.419 2.416 2.412 2.410 2.408 2.407 2.405 (continued) 321