-Area in right tail Table VI -Distribution Area in Right Tail 0.25 0.15 0.10 1.025 L.02 0.0025 0.001 1.100 1.376 1.963 3.078 6.314 12.706 15.894 31.821 63.657 127.321 318.309 636.619 0.816 1.885 2.920 4.303 4.849 6.965 9.025 14.089 23.327 31.590 1.765 1.250 1.638 2.353 3.182 4.541 7.ASE 10.215 12.924 0.741 0.941 1.190 1.533 2.132 2.776 2.999 3.747 4.60M4 5.598 7.173 8.610 0,9201 1.130 1.476 2015 2.571 3.365 4.097 4,773 5.803 1.869 0.718 0.905 1.134 1.440 1.943 2.447 2.612 3.143 3, 707 4.317 5.206 5.959 0.711 0.896 1.119 1.415 1.895 2.3657 2.998 3.499 4.029 4.785 5.408 0.706 0.839 1.397 1.360 2.306 2.449 3.355 3.833 4.501 5.041 0.703 1.833 1.383 1.833 2.262 2.348 2.821 3.250 3.690 1.297 4.781 10 0.700 0.879 1.372 1812 2.228 2.359 2.764 3.165 3.58I 4.144 4.587 11 0.876 1.365 1,796 2.201 2.328 2.718 3.49T 4,437 12 0.695 0.873 1.356 1.782 2.179 2.303 2.681 3.0165 3.428 3.930 4.318 13 0.694 1.350 1.771 2.160 2.650 3.012 3.372 3.852 4.221 14 0.692 1.34 1.761 2.145 2.624 2.977 3.326 3.787 4.140 15 0.691 0.856 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 4.073 16 0.690 0.865 10171 1.347 1.746 2.120 2.2.35 2.583 2.921 3.252 3.686 4.015 17 1.659 1.335 1.740 2.110 2.274 2.567 2.89% 3.646 3,960 18 0.685 0.862 1.734 2.101 2.214 2.552 2.878 3.197 3.610 3.927 19 0.658 0.861 1.328 1,729 2.093 2.205 2.539 2.861 3,174 3.579 3.883 20 1.321 1.725 2.197 2.518 2.845 3.153 3.552 3.850 21 0.686 0.859 1.323 1.721 2080 2.189 2.518 2.831 3.135 3.527 3.819 0.68 0.858 1.321 1.717 2.074 2.183 2.508 2.819 3,119 3.505 0.685 0.858 1.319 1.714 2.0169 2.177 2.500 2.807 3.104 3.485 3.768 0.685 0.857 10159 1.318 1.711 2.064 2.172 2.492 2.797 3.091 3.467 3.745 0.684 0.806 1.316 1.708 2.060 2.167 2.485 2.787 3.078 3.450 3.725 1.684 1.315 1.706 2.05 2.162 2.479 2.779 3.067 3.435 .707 0.684 0.855 1.0157 1.314 1.703 3052 2.158 2.473 2.171 3.0157 3.421 3.690 0.683 0.835 1313 1.701 2048 2.154 2.467 2.763 3.147 3.406 3.674 0.683 0.854 1.31 1.699 2.150 2.462 2.756 3.138 3.396 3.659 0.683 0.854 1.310 1.697 2.04 2.147 2.457 2,750 3.030 3485 3.646 0.68 0.853 1.309 2.144 2.453 2.744 4.0107 3.375 32 0.682 1.853 1.30 1.694 7.137 2.141 2.449 2.738 3.015 3.365 3.627 33 0.682 0.853 1.30 2.045 2.138 2.445 2.733 3.008 3.356 3.611 34 0.682 0.852 1.307 1.691 2.0132 2.136 2.441 2.728 3.348 3.607 35 0.682 1.852 12052 1.30 1.690 2.030 2.133 2.438 2.724 2.996 3.340 3.591 36 0.681 01.852 10152 1.306 1688 2.0128 2.131 2.434 2.719 2.990 3.373 3.582 37 0.681 0.851 1305 687 2.412 2.129 2.431 2.715 3.320 3.574 38 0.681 0.851 12051 1.304 12686 2.0124 2.127 2.429 2.712 2.980 3.319 3.566 39 0.681 0.851 1,050 1.304 1.683 20123 2.125 2.425 2. 70 2.976 3.313 3,558 0.681 0.851 1.303 1.684 2.012 2.123 2.423 2.704 2.971 3.307 3.551 50 0.679 1.849 1 047 1.299 1.676 2.009 2.109 2.403 2.678 2.937 3.261 3.496 60 0.679 0.848 1.29 1.671 2.099 2.390 2.660 2.915 3.232 3.460 0.678 0.847 1014 1.29 1.667 1.994 2.093 2.381 2.648 2.809 3.211 3.435 0.678 01.846 1043 1.292 1.604 1.991 2.068 2.374 2.639 Z.ANT 3.195 3.416 0.677 0.845 10142 1,291 1 667 2.084 2.363 2.632 2.878 3,183 3.402 .677 0.8-45 12043 1.290 1.660 1.984 2.081 2.364 2.626 2.871 3.174 3.390 01.675 0.842 1.047 1.28 1.640 2.056 2.330 2.581 2.813 3.095 3.300 1.674 0,842 1.0136 1.28 1.645 1.960 2.06- 2.326 2.576 3.090 3.291 0.25 0.20 0.15 0.10 0.05 0.01 0.0-05 0.0425 09001 0.0005 Area in Right TailDetermine the t-value in each of the cases. Click the icon to view the table of areas under the t-distribution. (a) Find the t-value such that the area in the right tail is 0.005 with 23 degrees of freedom. (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.02 with 30 degrees of freedom. (Round to three decimal places as needed.) (c) Find the t-value such that the area left of the t-value is 0.20 with 20 degrees of freedom. [Hint: Use symmetry.] (Round to three decimal places as needed.) (d) Find the critical t-value that corresponds to 98% confidence. Assume 29 degrees of freedom. (Round to three decimal places as needed.)