Determine the t-value in each of the cases. Click the icon to view the table of areas under the t-distribution. Table of t-Distribution Areas (a) Find the t-value such that the area in the right tail is 0.05 with 6 degrees of freedom. t-Distribution (Round to three decimal places as needed.) Area in Right Tail df 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 (b) Find the t-value such that the area in the right tail is 0.10 with 24 degrees of freedom. 0.005 0.0025 (Round to three decimal places as needed.) 1.000 1.376 1.963 3.078 6.314 12.706 15.894 31.821 63.657 127.321 0.816 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14.089 DAWN 0.765 (c) Find the t-value such that the area left of the t-value is 0.02 with 21 degrees of freedom. [Hint: Use symmetry.] 0.978 1.250 1.638 2.353 3.182 3.482 4.541 5.841 7.453 0.741 0.941 1.190 1.533 2.132 2.776 2.999 3.747 4.604 5.598 (Round to three decimal places as needed.) 0.727 0.920 1.156 1.476 2.015 2.571 2.757 3.365 4.032 4.773 6 0.718 0.906 1.134 1.440 1.943 (d) Find the critical t-value that corresponds to 99% confidence. Assume 11 degrees of freedom. 2.447 2.612 3.143 3.707 4.317 0.711 0.896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 4.029 (Round to three decimal places as needed.) 8 0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 3.833 9 0.703 0.883 1.100 1.383 1.833 2.262 2.398 10 2.821 3.250 0.700 3.690 0.879 1.093 1.372 1.812 2.228 2.359 2.764 3.169 3.581 11 0.697 0.876 1.088 1.363 1.796 2.201 2.328 2.718 3.106 12 3.497 0.695 0.873 1.083 1.356 1.782 2.179 2.303 2.681 3.055 3.428 13 0.694 0.870 1.079 1.350 1.771 2.160 2.282 2.650 3.012 14 3.372 0.692 0.868 1.076 1.345 1.761 2.145 2.264 2.624 15 2.977 3.326 0.691 0.866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 16 0.690 0.865 1.071 1.337 1.746 2.120 2.235 2.583 2.921 3.252 17 0.689 0.863 1.069 1.333 1.740 2.110 2.224 2.567 2.898 3.222 18 0.688 0.862 1.067 1.330 1.734 2.101 2.214 2.552 2.878 3.197 19 0.688 0.861 1.066 1.328 1.729 2.093 2.205 2.539 20 2.861 3.174 0.687 0.860 1.064 1.325 1.725 2.086 2.197 2.528 2.845 3.153 21 0.686 0.859 1.063 1.323 1.721 2.080 2.189 2.518 2.831 3.135 22 0.686 0.858 1.061 1.321 1.717 2.074 2.183 2.508 2.819 3.119 23 0.685 0.858 1.060 1.319 1.714 2.069 2.177 2.500 2.807 3.104 24 0.685 0.857 1.059 1.318 1.711 2.064 2.172 2.492 25 2.797 3.091 0.684 0.856 1.058 1.316 1.708 2.060 2.167 2.485 2.787 3.078