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.. Table 2: Two-sided -values for the distribution. For each observed value of the statistic in column one, table entries correspond to the two-sided -value for the degrees of freedom in the column heading. The column headed DF (degrees of freedom) gives the degrees of freedom for the values in that row. Percent 75 90 95 97.5 99 99.5 99.75 99.9 99.95 99.975 99.99 99.995 One-sided .25 .10 .05 .025 .01 .005 .0025 .001 .0005 .00025 .0001 .00005 Two-sided .50 .20 .10 .05 .02 .01 .005 .002 .001 .0005 .0002 .0001 df 1 1.00 3.08 6.31 12.71 31.82 63.66 127.32 318.31 636.62 1273.24 3183.10 6366.20 2 .82 1.89 2.92 4.30 6.96 9.22 14.09 22.33 31.60 44.70 70.70 99.99 3 .76 1.64 2.35 3.18 4.54 5.84 7.45 10.21 12.92 16.33 22.20 28.00 4 .74 1.53 2.13 2.78 3.75 4.60 5.60 7.17 8.61 10.31 13.03 15.54 5 .73 1.48 2.02 2.57 3.37 4.03 4.77 5.89 6.87 7.98 9.68 11.18 6 .72 1.44 1.94 2.45 3.14 3.71 4.32 5.21 5.96 6.79 8.02 9.08 7 .71 1.42 1.90 2.37 3.00 3.50 4.03 4.79 5.41 6.08 7.06 7.88 8 .71 1.40 1.86 2.31 2.90 3.36 3.83 4.50 5.04 5.62 6.44 7.12 9 .70 1.38 1.83 2.26 2.82 3.25 3.69 4.30 4.78 5.29 6.01 6.59 10 .70 1.37 1.81 2.23 2.76 3.17 3.58 4.14 4.59 5.05 5.69 6.21 11 .70 1.36 1.80 2.20 2.72 3.11 3.50 4.03 4.44 4.86 5.45 5.92 12 .70 1.36 1.78 2.18 2.68 3.06 3.43 3.93 4.32 4.72 5.26 5.69 13 .69 1.35 1.77 2.16 2.65 3.01 3.37 3.85 4.22 4.60 5.11 5.51 14 .69 1.35 1.76 2.15 2.63 2.98 3.33 3.79 4.14 4.50 4.99 5.36 15 .69 1.34 1.75 2.13 2.60 2.95 3.29 3.73 4.07 4.42 4.88 5.24 16 .69 1.34 1.75 2.12 2.58 2.92 3.25 3.69 4.02 4.35 4.79 5.13 17 .69 1.33 1.74 2.11 2.57 2.90 3.22 3.65 3.97 4.29 4.71 5.04 18 .69 1.33 1.73 2.10 2.55 2.88 3.20 3.61 3.92 4.23 4.65 4.97 19 .69 1.33 1.73 2.09 2.54 2.86 3.17 3.58 3.88 4.19 4.59 4.90 20 .69 1.33 1.73 2.09 2.53 2.85 3.15 3.55 3.85 4.15 4.54 4.84 21 .69 1.32 1.72 2.08 2.52 2.83 3.14 3.53 3.82 4.11 4.49 4.78 22 .69 1.32 1.72 2.07 2.51 2.82 3.12 3.51 3.79 4.08 4.45 4.74 23 .68 1.32 1.71 2.07 2.50 2.81 3.10 3.49 3.77 4.05 4.42 4.69 24 .68 1.32 1.71 2.06 2.49 2.80 3.09 3.47 3.75 4.02 4.38 4.65 25 .68 1.32 1.71 2.06 2.49 2.79 3.08 3.45 3.73 4.00 4.35 4.62 26 .68 1.32 1.71 2.06 2.48 2.78 3.07 3.44 3.71 3.97 4.32 4.59 27 .68 1.31 1.70 2.05 2.47 2.77 3.06 3.42 3.69 3.95 4.30 4.56 28 .68 1.31 1.70 2.05 2.47 2.76 3.05 3.41 3.67 3.94 4.28 4.53 29 .68 1.31 1.70 2.05 2.46 2.76 3.04 3.40 3.66 3.92 4.25 4.51 30 .68 1.31 1.70 2.04 2.46 2.75 3.03 3.39 3.65 3.90 4.23 4.48 35 .68 1.31 1.69 2.03 2.44 2.72 3.00 3.34 3.59 3.84 4.15 4.39 40 .68 1.30 1.68 2.02 2.42 2.70 2.97 3.31 3.55 3.79 4.09 4.32 45 .68 1.30 1.68 2.01 2.41 2.69 2.95 3.28 3.52 3.75 4.05 4.27 50 .68 1.30 1.68 2.01 2.40 2.68 2.94 3.26 3.50 3.72 4.01 4.23 55 .68 1.30 1.67 2.00 2.40 2.67 2.93 3.25 3.48 3.70 3.99 4.20 60 .68 1.30 1.67 2.00 2.39 2.66 2.91 3.23 3.46 3.68 3.96 4.17 65 .68 1.29 1.67 2.00 2.39 2.65 2.91 3.22 3.45 3.66 3.94 4.15 70 .68 1.29 1.67 1.99 2.38 2.65 2.90 3.21 3.44 3.65 3.93 4.13 75 .68 1.29 1.67 1.99 2.38 2.64 2.89 3.20 3.43 3.64 3.91 4.11 80 .68 1.29 1.66 1.99 2.37 2.64 2.89 3.20 3.42 3.63 3.90 4.10 85 .68 1.29 1.66 1.99 2.37 2.64 2.88 3.19 3.41 3.62 3.89 4.08 90 .68 1.29 1.66 1.99 2.37 2.63 2.88 3.18 3.40 3.61 3.88 4.07 95 .68 1.29 1.66 1.99 2.37 2.63 2.87 3.18 3.40 3.60 3.87 4.06 100 .68 1.29 1.66 1.98 2.36 2.63 2.87 3.17 3.39 3.60 3.86 4.05 200 .68 1.29 1.65 1.97 2.35 2.60 2.84 3.13 3.34 3.54 3.79 3.97 500 .68 1.28 1.65 1.97 2.33 2.59 2.82 3.11 3.31 3.50 3.75 3.92 .67 1.28 1.65 1.96 2.33 2.58 2.81 3.10 3.30 3.49 3.73 3.91 .

Two-sided gives the two-sided significance level--the table entry is the corresponding two-sided critical value. The table entries are the critical values (percentiles) for the distribution. The columns are labeled by Percent''. Degrees of freedom 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 .5 .705 .667 .651 .643 .638 .635 .632 .631 .629 .628 .627 .626 .625 .625 .624 1.0 .500 .423 .391 .374 .363 .356 .351 .347 .343 .341 .339 .337 .336 .334 .333 1.5 .374 .272 .231 .208 .194 .184 .177 .172 .168 .165 .162 .159 .158 .156 .154 1.6 .356 .251 .208 .185 .170 .161 .154 .148 .144 .141 .138 .136 .134 .132 .130 1.7 .339 .231 .188 .164 .150 .140 .133 .128 .123 .120 .117 .115 .113 .111 .110 1.8 .323 .214 .170 .146 .132 .122 .115 .110 .105 .102 .099 .097 .095 .093 .092 1.9 .308 .198 .154 .130 .116 .106 .099 .094 .090 .087 .084 .082 .080 .078 .077 2.0 .295 .184 .139 .116 .102 .092 .086 .081 .077 .073 .071 .069 .067 .065 .064 2.1 .283 .171 .127 .104 .090 .080 .074 .069 .065 .062 .060 .058 .056 .054 .053 2.2 .272 .159 .115 .093 .079 .070 .064 .059 .055 .052 .050 .048 .046 .045 .044 2.3 .261 .148 .105 .083 .070 .061 .055 .050 .047 .044 .042 .040 .039 .037 .036 2.4 .251 .138 .096 .074 .062 .053 .047 .043 .040 .037 .035 .034 .032 .031 .030 2.5 .242 .130 .088 .067 .054 .047 .041 .037 .034 .031 .030 .028 .027 .025 .025 2.6 .234 .122 .080 .060 .048 .041 .035 .032 .029 .026 .025 .023 .022 .021 .020 2.7 .226 .114 .074 .054 .043 .036 .031 .027 .024 .022 .021 .019 .018 .017 .016 2.8 .218 .107 .068 .049 .038 .031 .027 .023 .021 .019 .017 .016 .015 .014 .013 2.9 .211 .101 .063 .044 .034 .027 .023 .020 .018 .016 .014 .013 .012 .012 .011 3.0 .205 .095 .058 .040 .030 .024 .020 .017 .015 .013 .012 .011 .010 .010 .009 3.1 .199 .090 .053 .036 .027 .021 .017 .015 .013 .011 .010 .009 .008 .008 .007 3.2 .193 .085 .049 .033 .024 .019 .015 .013 .011 .009 .008 .008 .007 .006 .006 3.3 .187 .081 .046 .030 .021 .016 .013 .011 .009 .008 .007 .006 .006 .005 .005 3.4 .182 .077 .042 .027 .019 .014 .011 .009 .008 .007 .006 .005 .005 .004 .004 3.5 .177 .073 .039 .025 .017 .013 .010 .008 .007 .006 .005 .004 .004 .004 .003 3.6 .172 .069 .037 .023 .016 .011 .009 .007 .006 .005 .004 .004 .003 .003 .003 3.7 .168 .066 .034 .021 .014 .010 .008 .006 .005 .004 .004 .003 .003 .002 .002 3.8 .164 .063 .032 .019 .013 .009 .007 .005 .004 .003 .003 .003 .002 .002 .002 3.9 .160 .060 .030 .018 .011 .008 .006 .005 .004 .003 .002 .002 .002 .002 .001 4.0 .156 .057 .028 .016 .010 .007 .005 .004 .003 .003 .002 .002 .002 .001 .001 4.1 .152 .055 .026 .015 .009 .006 .005 .003 .003 .002 .002 .001 .001 .001 .001 4.2 .149 .052 .025 .014 .008 .006 .004 .003 .002 .002 .001 .001 .001 .001 .001 4.3 .145 .050 .023 .013 .008 .005 .004 .003 .002 .002 .001 .001 .001 .001 .001 4.4 .142 .048 .022 .012 .007 .005 .003 .002 .002 .001 .001 .001 .001 .001 .001 4.5 .139 .046 .020 .011 .006 .004 .003 .002 .001 .001 .001 .001 .001 .000 .000 4.6 .136 .044 .019 .010 .006 .004 .002 .002 .001 .001 .001 .001 .000 .000 .000 4.7 .133 .042 .018 .009 .005 .003 .002 .002 .001 .001 .001 .001 .000 .000 .000 4.8 .131 .041 .017 .009 .005 .003 .002 .001 .001 .001 .001 .000 .000 .000 .000 4.9 .128 .039 .016 .008 .004 .003 .002 .001 .001 .001 .000 .000 .000 .000 .000 5.0 .126 .038 .015 .007 .004 .002 .002 .001 .001 .001 .000 .000 .000 .000 .000 5.2 .121 .035 .014 .007 .003 .002 .001 .001 .001 .000 .000 .000 .000 .000 .000 5.4 .117 .033 .012 .006 .003 .002 .001 .001 .000 .000 .000 .000 .000 .000 .000 5.6 .112 .030 .011 .005 .003 .001 .001 .001 .000 .000 .000 .000 .000 .000 .000 5.8 .109 .028 .010 .004 .002 .001 .001 .000 .000 .000 .000 .000 .000 .000 .000 6.0 .105 .027 .009 .004 .002 .001 .001 .000 .000 .000 .000 .000 .000 .000 .000 6.2 .102 .025 .008 .003 .002 .001 .000 .000 .000 .000 .000 .000 .000 .000 .000 6.4 .099 .024 .008 .003 .001 .001 .000 .000 .000 .000 .000 .000 .000 .000 .000 6.6 .096 .022 .007 .003 .001 .001 .000 .000 .000 .000 .000 .000 .000 .000 .000 6.8 .093 .021 .007 .002 .001 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 7.0 .090 .020 .006 .002 .001 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 7.2 .088 .019 .006 .002 .001 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 7.4 .086 .018 .005 .002 .001 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 7.6 .083 .017 .005 .002 .001 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 7.8 .081 .016 .004 .001 .001 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 8.0 .079 .015 .004 .001 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 8.5 .075 .014 .003 .001 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 9.0 .070 .012 .003 .001 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 9.5 .067 .011 .002 .001 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 10.0 .063 .010 .002 .001 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 10.5 .060 .009 .002 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 11.0 .058 .008 .002 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 11.5 .055 .007 .001 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 12.0 .053 .007 .001 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 12.5 .051 .006 .001 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 13.0 .049 .006 .001 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .50 .624 .623 .623 .623 .623 .622 .622 .622 .622 .621 .621 .621 .621 .621 .621 1.00 .332 .331 .331 .330 .329 .329 .328 .328 .327 .327 .327 .326 .326 .326 .325 1.50 .153 .152 .151 .150 .149 .148 .148 .147 .147 .146 .146 .145 .145 .144 .144 1.60 .129 .128 .127 .126 .125 .125 .124 .123 .123 .122 .122 .121 .121 .120 .120 1.65 .118 .117 .116 .115 .115 .114 .113 .113 .112 .111 .111 .111 .110 .110 .109 1.70 .108 .107 .106 .105 .105 .104 .103 .103 .102 .102 .101 .101 .100 .100 .099 1.75 .099 .098 .097 .096 .095 .095 .094 .093 .093 .092 .092 .091 .091 .091 .090 1.80 .091 .090 .089 .088 .087 .086 .086 .085 .084 .084 .083 .083 .083 .082 .082 1.85 .083 .082 .081 .080 .079 .078 .078 .077 .077 .076 .075 .075 .075 .075 .074 1.90 .076 .075 .074 .073 .072 .071 .071 .070 .070 .069 .069 .068 .068 .067 .067 1.95 .069 .068 .067 .066 .065 .065 .064 .063 .063 .062 .062 .062 .061 .061 .061 2.00 .063 .062 .061 .060 .059 .059 .058 .057 .057 .056 .056 .056 .055 .055 .055 2.05 .057 .056 .055 .054 .054 .053 .052 .052 .051 .051 .051 .050 .050 .050 .049 2.10 .052 .051 .050 .049 .049 .048 .047 .047 .046 .046 .046 .045 .045 .045 .044 2.15 .047 .046 .045 .045 .044 .043 .043 .042 .042 .041 .041 .041 .040 .040 .040 2.20 .043 .042 .041 .040 .040 .039 .039 .038 .038 .037 .037 .037 .036 .036 .036 2.25 .039 .038 .037 .036 .036 .035 .035 .034 .034 .033 .033 .033 .032 .032 .032 2.30 .035 .034 .034 .033 .032 .032 .031 .031 .030 .030 .030 .029 .029 .029 .029 2.35 .032 .031 .030 .030 .029 .029 .028 .028 .027 .027 .027 .026 .026 .026 .026 2.40 .029 .028 .027 .027 .026 .026 .025 .025 .025 .024 .024 .024 .023 .023 .023 2.45 .026 .025 .025 .024 .024 .023 .023 .022 .022 .022 .021 .021 .021 .021 .020 2.50 .024 .023 .022 .022 .021 .021 .020 .020 .020 .019 .019 .019 .019 .018 .018 2.55 .021 .021 .020 .020 .019 .019 .018 .018 .018 .017 .017 .017 .017 .016 .016 2.60 .019 .019 .018 .018 .017 .017 .016 .016 .016 .015 .015 .015 .015 .015 .014 2.65 .017 .017 .016 .016 .015 .015 .015 .014 .014 .014 .014 .013 .013 .013 .013 2.70 .016 .015 .015 .014 .014 .013 .013 .013 .013 .012 .012 .012 .012 .011 .011 2.75 .014 .014 .013 .013 .012 .012 .012 .011 .011 .011 .011 .011 .010 .010 .010 2.80 .013 .012 .012 .011 .011 .011 .010 .010 .010 .010 .010 .009 .009 .009 .009 2.85 .012 .011 .011 .010 .010 .010 .009 .009 .009 .009 .008 .008 .008 .008 .008 2.90 .010 .010 .010 .009 .009 .009 .008 .008 .008 .008 .007 .007 .007 .007 .007 2.95 .009 .009 .009 .008 .008 .008 .007 .007 .007 .007 .007 .006 .006 .006 .006 3.00 .008 .008 .008 .007 .007 .007 .007 .006 .006 .006 .006 .006 .006 .005 .005 3.05 .008 .007 .007 .007 .006 .006 .006 .006 .006 .005 .005 .005 .005 .005 .005 3.10 .007 .007 .006 .006 .006 .005 .005 .005 .005 .005 .005 .004 .004 .004 .004 3.15 .006 .006 .006 .005 .005 .005 .005 .004 .004 .004 .004 .004 .004 .004 .004 3.20 .006 .005 .005 .005 .004 .004 .004 .004 .004 .004 .004 .003 .003 .003 .003 3.25 .005 .005 .004 .004 .004 .004 .004 .004 .003 .003 .003 .003 .003 .003 .003 3.30 .005 .004 .004 .004 .004 .003 .003 .003 .003 .003 .003 .003 .003 .003 .002 3.35 .004 .004 .004 .003 .003 .003 .003 .003 .003 .003 .002 .002 .002 .002 .002 3.40 .004 .003 .003 .003 .003 .003 .003 .002 .002 .002 .002 .002 .002 .002 .002 3.45 .003 .003 .003 .003 .003 .002 .002 .002 .002 .002 .002 .002 .002 .002 .002 3.50 .003 .003 .003 .002 .002 .002 .002 .002 .002 .002 .002 .002 .002 .002 .001 3.60 .002 .002 .002 .002 .002 .002 .002 .002 .001 .001 .001 .001 .001 .001 .001 3.70 .002 .002 .002 .002 .001 .001 .001 .001 .001 .001 .001 .001 .001 .001 .001 3.80 .002 .001 .001 .001 .001 .001 .001 .001 .001 .001 .001 .001 .001 .001 .001 3.90 .001 .001 .001 .001 .001 .001 .001 .001 .001 .001 .001 .001 .001 .001 .001 4.00 .001 .001 .001 .001 .001 .001 .001 .001 .001 .000 .000 .000 .000 .000 .000 4.10 .001 .001 .001 .001 .001 .001 .000 .000 .000 .000 .000 .000 .000 .000 .000 4.20 .001 .001 .001 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 4.30 .001 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 4.40 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .50 .620 .620 .620 .619 .619 .619 .619 .619 .618 .618 .618 .618 .617 1.00 .324 .323 .323 .322 .322 .321 .321 .321 .320 .320 .320 .319 .318 1.60 .119 .117 .117 .116 .115 .115 .114 .114 .114 .113 .113 .111 .110 1.65 .108 .107 .106 .105 .105 .104 .104 .103 .103 .102 .102 .101 .099 1.70 .098 .097 .096 .095 .095 .094 .094 .094 .093 .093 .092 .091 .089 1.75 .089 .088 .087 .086 .086 .085 .085 .085 .084 .084 .083 .082 .080 1.80 .080 .079 .079 .078 .077 .077 .077 .076 .076 .075 .075 .073 .072 1.85 .073 .072 .071 .070 .070 .069 .069 .069 .068 .068 .067 .066 .065 1.90 .066 .065 .064 .063 .063 .062 .062 .062 .061 .061 .060 .059 .058 1.95 .059 .058 .057 .057 .056 .056 .055 .055 .055 .054 .054 .053 .051 1.98 .056 .055 .054 .053 .053 .052 .052 .052 .051 .051 .050 .049 .048 2.00 .053 .052 .052 .051 .050 .050 .050 .049 .049 .049 .048 .047 .046 2.02 .051 .050 .049 .049 .048 .048 .048 .047 .047 .046 .046 .045 .044 2.04 .049 .048 .047 .047 .046 .046 .045 .045 .045 .044 .044 .043 .042 2.06 .047 .046 .045 .045 .044 .044 .043 .043 .043 .042 .042 .041 .040 2.08 .045 .044 .043 .043 .042 .042 .041 .041 .041 .040 .040 .039 .038 2.10 .043 .042 .041 .041 .040 .040 .040 .039 .039 .039 .038 .037 .036 2.12 .041 .040 .040 .039 .039 .038 .038 .038 .037 .037 .036 .035 .034 2.14 .039 .039 .038 .037 .037 .036 .036 .036 .035 .035 .035 .034 .033 2.16 .038 .037 .036 .036 .035 .035 .034 .034 .034 .033 .033 .032 .031 2.18 .036 .035 .035 .034 .034 .033 .033 .033 .032 .032 .032 .030 .029 2.20 .035 .034 .033 .032 .032 .032 .031 .031 .031 .030 .030 .029 .028 2.22 .033 .032 .031 .031 .031 .030 .030 .030 .029 .029 .029 .028 .027 2.24 .032 .031 .030 .030 .029 .029 .029 .028 .028 .028 .027 .026 .025 2.26 .030 .029 .029 .028 .028 .027 .027 .027 .027 .026 .026 .025 .024 2.28 .029 .028 .027 .027 .027 .026 .026 .026 .025 .025 .025 .024 .023 2.30 .028 .027 .026 .026 .025 .025 .025 .024 .024 .024 .024 .022 .022 2.32 .026 .026 .025 .024 .024 .024 .023 .023 .023 .023 .022 .021 .021 2.34 .025 .024 .024 .023 .023 .023 .022 .022 .022 .021 .021 .020 .019 2.36 .024 .023 .023 .022 .022 .022 .021 .021 .021 .020 .020 .019 .018 2.38 .023 .022 .022 .021 .021 .021 .020 .020 .020 .019 .019 .018 .017 2.40 .022 .021 .021 .020 .020 .020 .019 .019 .019 .018 .018 .017 .017 2.42 .021 .020 .020 .019 .019 .019 .018 .018 .018 .018 .017 .016 .016 2.44 .020 .019 .019 .018 .018 .018 .017 .017 .017 .017 .016 .016 .015 2.46 .019 .018 .018 .017 .017 .017 .017 .016 .016 .016 .016 .015 .014 2.48 .018 .017 .017 .017 .016 .016 .016 .016 .015 .015 .015 .014 .013 2.50 .017 .017 .016 .016 .015 .015 .015 .015 .014 .014 .014 .013 .013 2.45 .019 .019 .018 .018 .017 .017 .017 .017 .016 .016 .016 .015 .014 2.50 .017 .017 .016 .016 .015 .015 .015 .015 .014 .014 .014 .013 .013 2.55 .015 .015 .014 .014 .014 .013 .013 .013 .013 .012 .012 .012 .011 2.60 .014 .013 .013 .012 .012 .012 .012 .011 .011 .011 .011 .010 .009 2.65 .012 .011 .011 .011 .010 .010 .010 .010 .010 .010 .009 .009 .008 2.70 .011 .010 .010 .009 .009 .009 .009 .009 .008 .008 .008 .008 .007 2.75 .009 .009 .009 .008 .008 .008 .008 .008 .007 .007 .007 .007 .006 2.80 .008 .008 .008 .007 .007 .007 .007 .007 .006 .006 .006 .006 .005 2.85 .007 .007 .007 .006 .006 .006 .006 .006 .006 .005 .005 .005 .004 2.90 .006 .006 .006 .006 .005 .005 .005 .005 .005 .005 .005 .004 .004 2.95 .006 .005 .005 .005 .005 .005 .004 .004 .004 .004 .004 .004 .003 3.00 .005 .005 .004 .004 .004 .004 .004 .004 .004 .003 .003 .003 .003 3.05 .004 .004 .004 .004 .004 .003 .003 .003 .003 .003 .003 .003 .002 3.10 .004 .004 .003 .003 .003 .003 .003 .003 .003 .003 .003 .002 .002 3.15 .003 .003 .003 .003 .003 .003 .002 .002 .002 .002 .002 .002 .002 3.20 .003 .003 .003 .002 .002 .002 .002 .002 .002 .002 .002 .002 .001 3.25 .003 .002 .002 .002 .002 .002 .002 .002 .002 .002 .002 .001 .001 3.30 .002 .002 .002 .002 .002 .002 .002 .002 .001 .001 .001 .001 .001 3.35 .002 .002 .002 .002 .001 .001 .001 .001 .001 .001 .001 .001 .001 3.40 .002 .002 .001 .001 .001 .001 .001 .001 .001 .001 .001 .001 .001 3.45 .001 .001 .001 .001 .001 .001 .001 .001 .001 .001 .001 .001 .001 3.50 .001 .001 .001 .001 .001 .001 .001 .001 .001 .001 .001 .001 .000 3.60 .001 .001 .001 .001 .001 .001 .001 .001 .001 .001 .000 .000 .000 3.70 .001 .001 .001 .001 .000 .000 .000 .000 .000 .000 .000 .000 .000 . One-sided is the significance level for the one-sided upper critical value--the table entry is the critical value. Percent is distribution function - the table entry is the corresponding percentile. About this document . Table 1: Critical values (percentiles) for the distribution. One-sided'' and Two-sided''

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