Find the critical value t for the following situations. T-table a) a 95% confidence interval based on df = 17. b) a 98% confidence interval based on df = 69. Click the icon to view the t-table. Two-tail probability 0.20 0.10 0.05 0.02 0.01 One-tail probability 0.10 0.05 0.025 0.01 0.005 Table T df df Values of to 3.078 6.314 12.706 31.821 63.657 1.886 2.920 4.303 5.965 9.925 1.638 2.353 3.182 4.541 5.841 a) What is the critical value of t for a 95% confidence interval with of = 17? 1.533 2.132 2.776 3.747 4.604 (Round to two decimal places as needed.) 1.476 2.015 2.571 3.365 4.032 1.440 1.943 2.447 3.143 3.707 1.415 1.895 2.365 2.998 3.409 b) What is the critical value of t for a 98% confidence interval with df = 69? 1.397 .860 2.306 2.896 3.355 1.383 1.833 2.262 2.821 3.250 (Round to two decimal places as needed.) Two tails 10 1.372 1.812 2.228 2.764 3.169 10 11 1.363 1.796 2.201 2.718 3.106 11 12 1.356 1.782 2.179 2.681 3.055 12 13 1.350 1.771 2.160 2.650 3.012 13 14 1.345 1.761 2.145 2.624 2.977 14 15 1.341 1.753 2.131 2.602 2.947 15 One tail 16 1.337 1.746 2.120 2.583 2.921 16 17 1.333 1.740 2.110 2.567 2.898 17 18 1.330 1.734 2.101 2.552 2.878 18 19 1.328 1.729 2.093 2.539 2.861 19 20 1.325 1.725 2.086 2.528 2.845 21 1.323 1.721 2.080 2.518 2.831 20 21 1.321 1.717 2.074 2.508 2.819 22 1.319 1.714 2.069 2.500 2.807 23 24 1.318 1.711 2.064 2.492 2.797 24 25 1.316 1.708 2.060 2.48 2.787 25 1.315 1.706 2.056 2.479 2.779 26 1.314 .703 2.052 2.473 2.771 27 1.313 1.701 2.048 2.467 2.763 28 1.311 1.699 2.045 2.462 2.756 29 1.310 1.697 2.042 2.457 2.750 30 1.309 1.694 2.037 2.449 2.738 32 1.306 1.690 2.030 2.438 2.725 35 1.303 1.684 2.021 2.423 2.704 40 45 1.301 1.679 2.014 2.412 2.690 1.299 1.676 2.009 2.403 2.678 50 1.296 1.671 2.000 2.390 2.660 60 1.29 1.665 1.992 2.377 2.643 75 1.290 1.660 1.984 2.364 2.626 100 120 1.289 1.658 1.980 2.3 58 2.617 120 140 1.288 1.656 1.977 2.353 2.611 140 180 1.286 1.65 1.973 2.347 2.603 180 250 1.285 1.651 1.969 2.341 2.596 250