Determine the critical values for these tests of a population standard deviation. Critical values for the chi-square distribution (a) A right-tailed test with 18 degrees of freedom at the a = 0 05 level of significance (b) A left-tailed test for a sample of size n = 23 at the a = 0.01 level of significance (c) A two-tailed test for a sample of size n = 27 at the a = 0.05 level of significance Click the icon to view a table a critical values for the Chi-Square Distribution. Chi-Square (x) Distribution Degrees of Area to the Right of Critical Value (a) The critical value for this right-tailed test is 28.869 Freedom 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 (Round to three decimal places as needed.) 0.001 0.004 0.016 2706 3.841 5.024 6.635 7.879 (b) The critical value for this left-tailed test is 0.010 0.020 0.051 0.103 0.211 4.605 5.991 7.378 9.210 10 597 0.072 0.115 0.216 0 352 0.584 6.251 7815 (Round to three decimal places as needed.) 9 348 11.345 12 838 0.207 0.297 0.484 0.711 1.064 7.779 9.488 11.143 13.277 14 860 0.412 0.554 0.831 1.145 1610 9.236 11.070 12.833 15.086 16.750 0.676 0.872 1.237 1.635 2.204 10.645 12 592 14.449 16.812 18 548 0.989 1.239 1.690 2.167 2.833 12017 14 067 16.013 18.475 20.278 1.344 1.646 2.180 2.733 3.490 13 362 15.507 17.535 20.090 21 955 1.735 2.088 2.700 3.325 4.168 14.684 16.919 19 023 21.666 23.589 2.156 2 558 3.247 3.940 4.865 15.987 18 307 20.483 23.209 25.188 2.603 3.053 3.816 4.575 5.578 17.275 19.675 21.920 24.725 26.757 3.074 3.571 4.404 5.226 6.304 18 549 21.026 23.337 26.217 28.300 3.565 4.107 5.009 5,892 7.042 19.812 22 362 24.736 27.688 29.819 4.075 4.660 5.629 6.571 7.790 21.064 23.685 26.119 29 141 31.319 15 4.601 5.229 6.262 7.261 8.547 22 307 24.996 27.488 30.578 32 801 5.142 5.812 6.908 7.962 9.312 23 542 26.296 28.845 32 000 34 267 5.697 6.408 7.564 8.672 10.085 24.769 27.587 30.191 33.409 35.718 6.265 7.015 8.231 9.390 10.865 25.989 28.869 31 526 34.805 37.156 6.844 7.633 8.907 10.117 11.651 27.204 30.144 32.852 36.191 38 582 20 7.434 8.260 9.591 10.851 12.443 28.412 31.410 34.170 37.566 39.997 21 8.034 8.897 10.283 11 591 13 240 29.615 32.671 35.479 38.932 41 401 8.643 9.542 10.982 12.338 14.041 30.813 33.924 36.781 40.289 42 796 9.260 10.196 11.689 13.091 14.848 32.007 35.172 38.076 41.638 9.886 10.856 12.401 13.848 15.659 33.196 36.415 39.364 42 980 45.359 25 10.520 11.524 13.120 14.611 16.473 34 382 37.652 40 646 44.314 46.928 26 11 160 12.198 13.844 15 379 17.292 35.563 38.885 41 923 45.642 48.290 137 12 870 14572 16 151 18 114 26 741 In 112 42 105 46 062 40 KA Print Done