Find t_,df from the following information. (You may find it useful to reference the t table. Round your answers to 3 decimal places.)

\fTABLE 2 Student's : Distribution Entries in this table provide the values of fay that correspond to a given upper-tail area c and a specified number of degrees of freedom df. For example, for a = 0.05 and of = 10, P(71 2 1.812) = 0.05. Area in Upper Tail, a 0 0.20 0.10 0.05 0.025 0.01 0.005 1.376 3.078 6.314 12.706 31.821 63.657 1.061 1.886 2.920 4.303 6.965 9.925 0.978 1.638 2.353 3.182 4.541 5.841 0.941 1.533 2.132 2.776 3.747 4.604 0.920 1.476 2.015 2.571 3.365 4.032 0.906 1.440 1.943 2.447 3.143 3.707 0.896 1.415 1.895 2.365 2.998 3.499 0.889 1.397 1.860 2.306 2.896 LD 00 3.355 0.883 1.383 1.833 2.262 2.821 3.250 10 0.879 1.372 1.812 2.228 2.764 3.169 1 1 0.876 1.363 1.796 2.201 2.718 3.106 12 0.873 1.356 1.782 2.179 2.681 3.055 13 0.870 1.350 1.771 2.160 2.650 3.012 14 0.868 1.345 1.761 2.145 2.624 2.977 15 0.866 1.341 1.753 2.131 2.602 2.947 16 0.865 1.337 1.746 2.120 2.583 2.921 17 0.863 1.333 1.740 2.110 2.567 2.898 18 0.862 1.330 1.734 2.101 2.552 2.878 19 0.861 1.328 1.729 2.093 2.539 2.861 20 0.860 1.325 1.725 2.086 2.528 2.845 21 0.859 1.323 1.721 2.080 2.518 2.831 22 0.858 1.321 1.717 2.074 2.508 2.819 23 0.858 1.319 1.714 2.069 2.500 2.807 24 0.857 1.318 1.711 2.064 2.492 2.797 25 0.856 1.316 1.708 2.060 2.485 2.787 26 0.856 1.315 1.706 2.056 2.479 2.779 27 0.855 1.314 1.703 2.052 2.473 2.771 28 0.855 1.313 1.701 2.048 2.467 2.763 29 0.854 1.311 1.699 2.045 2.462 2.756 30 0.854 1.310 1.697 2.042 2.457 2.750