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158 Tables 1 Standard normal - z 469 2 t Critical points 470 3 x2 Critical points 471 4 F Critical points 472
0 z„ 1 Standard Normal, Cumulative Probability in Right-Hand Tail (For Negative Values of z, Areas are Found by Symmetry) NEXT DECIMAL PLACE OF z, | | | | | | | | | | | | .500 | .496 | .492 | .488 | .484 | .480 | .476 | .472 | .468 | .464 | | .460 | .456 | .452 | .448 | .444 | .440 | .436 | .433 | .429 | .425 | | .421 | .417 | .413 | .409 | .405 | .401 | .397 | .394 | .390 | .386 | | .382 | .378 | .374 | .371 | .367 | .363 | .359 | .356 | .352 | .348 | | .345 | .341 | .337 | .334 | .330 | .326 | .323 | .319 | .316 | .312 | | .309 | .305 | .302 | .298 | .295 | .291 | .288 | .284 | .281 | .278 | | .274 | .271 | .268 | .264 | .261 | .258 | .255 | .251 | .248 | .245 | | .242 | .239 | .236 | .233 | .230 | .227 | .224 | .221 | .218 | .215 | | .212 | .209 | .206 | .203 | .200 | .198 | .195 | .192 | .189 | .187 | | .184 | .181 | .179 | .176 | .174 | .171 | .169 | .166 | .164 | .161 | | .159 | .156 | .154 | .152 | .149 | .147 | .145 | .142 | .140 | .138 | | .136 | .133 | .131 | .129 | .127 | .125 | .123 | .121 | .119 | .117 | | .115 | .113 | .111 | .109 | .107 | .106 | .104 | .102 | .100 | .099 | | .097 | .095 | .093 | .092 | .090 | .089 | .087 | .085 | .084 | .082 | | .081 | .079 | .078 | .076 | .075 | .074 | .072 | .071 | .069 | .068 | | .067 | .066 | .064 | .063 | .062 | .061 | .059 | .058 | .057 | .056 | | .055 | .054 | .053 | .052 | .051 | .049 | .048 | .047 | .046 | .046 | | .045 | .044 | .043 | .042 | .041 | .040 | .039 | .038 | .038 | .037 | | .036 | .035 | .034 | .034 | .033 | .032 | .031 | .031 | .030 | .029 | | .029 | .028 | .027 | .027 | .026 | .026 | .025 | .024 | .024 | .023 | | .023 | .022 | .022 | .021 | .021 | .020 | .020 | .019 | .019 | .018 | | .018 | .017 | .017 | .017 | .016 | .016 | .015 | .015 | .015 | .014 | | .014 | .014 | .013 | .013 | .013 | .012 | .012 | .012 | .011 | .011 | | .011 | .010 | .010 | .010 | .010 | .009 | .009 | .009 | .009 | .008 | | .008 | .008 | .008 | .008 | .007 | .007 | .007 | .007 | .007 | .006 | | .006 | .006 | .006 | .006 | .006 | .005 | .005 | .005 | .005 | .005 | | .005 | .005 | .004 | .004 | .004 | .004 | .004 | .004 | .004 | .004 | | .003 | .003 | .003 | .003 | .003 | .003 | .003 | .003 | .003 | .003 | | .003 | .002 | .002 | .002 | .002 | .002 | .002 | .002 | .002 | .002 | | .002 | .002 | .002 | .002 | .002 | .002 | .002 | .001 | .001 | .001 | | DETAIL OF TAIL (.2135, FOR EXAMPLE, MEANS .00135) | | | .,228 | .,179 | .,139 | .,107 | .2820 | .2621 | .2466 | .2347 | .2256 | .,187 | | .,135 | .,968 | .,687 | .,483 | .3337 | .3233 | ,3159 | .,108 | .4723 | .4481 | | .4317 | .4207 | .4133 | .5854 | .5541 | .5340 | .5211 | ,5130 | .6793 | .6479 | | .6287 | .6170 | ,7996 | .7579 | ,7333 | .7190 | .7107 | .8599 | •8332 | ,8182 | | | | | | | | | | | |
Critical point. For example: (.025 leaves .025 probability in the tail. 2 t Critical Points d.f- | | | | .025 | .010 | .005 | .0025 | .0010 | .0005 | | 1.00 | 3.08 | 6.31 | 12.7 | 31.8 | 63.7 | | | | | | 1.89 | 2.92 | 4.30 | 6.96 | 9.92 | 14.1 | 22.3 | 31.6 | | | 1.64 | 2.35 | 3.18 | 4.54 | 5.84 | 7.45 | 10.2 | 12.9 | | | 1.53 | 2.13 | 2.78 | 3.75 | 4.60 | 5.60 | 7.17 | 8.61 | | | 1.48 | 2.02 | 2.57 | 3.36 | 4.03 | 4.77 | 5.89 | 6.87 | | | 1.44 | 1.94 | 2.45 | 3.14 | 3.71 | 4.32 | 5.21 | 5.96 | | | 1.41 | 1.89 | 2.36 | 3.00 | 3.50 | 4.03 | 4.79 | 5.41 | | | 1.40 | 1.86 | 2.31 | 2.90 | 3.36 | 3.83 | 4.50 | 5.04 | | | 1.38 | 1.83 | 2.26 | 2.82 | 3.25 | 3.69 | 4.30 | 4.78 | | | 1.37 | 1.81 | 2.23 | 2.76 | 3.17 | 3.58 | 4.14 | 4.59 | | | 1.36 | 1.80 | 2.20 | 2.72 | 3.11 | 3.50 | 4.02 | 4.44 | | | 1.36 | 1.78 | 2.18 | 2.68 | 3.05 | 3.43 | 3.93 | 4.32 | | | 1.35 | 1.77 | 2.16 | 2.65 | 3.01 | 3.37 | 3.85 | 4.22 | | | 1.35 | 1.76 | 2.14 | 2.62 | 2.98 | 3.33 | 3.79 | 4.14 | | | 1.34 | 1.75 | 2.13 | 2.60 | 2.95 | 3.29 | 3.73 | 4.07 | | | 1.34 | 1.75 | 2.12 | 2.58 | 2.92 | 3.25 | 3.69 | 4.01 | | | 1.33 | 1.74 | 2.11 | 2.57 | 2.90 | 3.22 | 3.65 | 3.97 | | | 1.33 | 1.73 | 2.10 | 2.55 | 2.88 | 3.20 | 3.61 | 3.92 | | | 1.33 | 1.73 | 2.09 | 2.54 | 2.86 | 3.17 | 3.58 | 3.88 | | | 1.33 | 1.72 | 2.09 | 2.53 | 2.85 | 3.15 | 3.55 | 3.85 | | | 1.32 | 1.72 | 2.08 | 2.52 | 2.83 | 3.14 | 3.53 | 3.82 | | | 1.32 | 1.72 | 2.07 | 2.51 | 2.82 | 3.12 | 3.50 | 3.79 | | | 1.32 | 1.71 | 2.07 | 2.50 | 2.81 | 3.10 | 3.48 | 3.77 | | | 1.32 | 1.71 | 2.06 | 2.49 | 2.80 | 3.09 | 3.47 | 3.75 | | | 1.32 | 1.71 | 2.06 | 2.49 | 2.79 | 3.08 | 3.45 | 3.73 | | | 1.31 | 1.71 | 2.06 | 2.48 | 2.78 | 3.07 | 3.43 | 3.71 | | | 1.31 | 1.70 | 2.05 | 2.47 | 2.77 | 3.06 | 3.42 | 3.69 | | | 1.31 | 1.70 | 2.05 | 2.47 | 2.76 | 3.05 | 3.41 | 3.67 | | | 1.31 | 1.70 | 2.05 | 2.46 | 2.76 | 3.04 | 3.40 | 3.66 | | | 1.31 | 1.70 | 2.04 | 2.46 | 2.75 | 3.03 | 3.39 | 3.65 | | | 1.30 | 1.68 | 2.02 | 2.42 | 2.70 | 2.97 | 3.31 | 3.55 | | | 1.30 | 1.67 | 2.00 | 2.39 | 2.66 | 2.92 | 3.23 | 3.46 | | | 1.29 | 1.66 | 1.98 | 2.36 | 2.62 | 2.86 | 3.16 | 3.37 | | | 1.28 | 1.64 | 1.96 | 2.33 | 2.58 | 2.81 | 3.09 | 3.29 | | = Z,25 | = zio | = z.05 | = z.025 | = z.010 | = z.oos | = z.0025 | = z.0010 | = z.0005 |
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