For parts a and b, use the t tables, software, or a calculator to estimate. For parts c and d, use software or a calculator to estimate. a) the critical value of t for a 95% confidence interval with df = 29. b) the critical value of t for a 99% confidence interval with of = 78. X c) the P-value for t 2.74 with 9 degrees of freedom. t table d) the P-value for It > 1.76 with 30 degrees of freedom. Click the icon to view the t table. a) What is the critical value of t for a 95% confidence interval with of = 29? 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 (Round to two decimal places as needed.) Confidence levels 80% 90% 95% 98% 99% Table T b) What is the critical value of t for a 99% confidence interval with df =78? Values of ta 3.078 6.314 12.706 31.821 63.657 1.886 2.920 4.303 6.965 9.925 (Round to two decimal places as needed.) 1.638 2.353 3.182 4.541 5.841 1.533 2.132 2.776 3.747 .604 c) What is the P-value for t2 2.74 with 9 degrees of freedom? 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 3.499 (Round to three decimal places as needed.) 1.397 1.860 2.306 2.896 3.355 3.250 0 1.383 1.833 2.262 2.821 d) What is the P-value for It| > 1.76 with 30 degrees of freedom? Two tails 1.372 1.812 2.228 2.764 3.169 1.363 1.796 2.201 2718 3.106 (Round to three decimal places as needed.) 1.356 1.782 2.179 2681 3.055 1.350 1.771 2.160 2.650 3,012 1.345 1.761 2.145 2.624 2.977 1.341 1.753 2.131 2.602 2.947 1.337 1.746 2.120 2.583 .921 1.333 1.740 2.110 2.567 2.898 1.330 1.734 2.101 2.552 2.878 1.328 1.729 2.093 2.539 2.861 1.325 1.725 2.086 2.528 2.845 1.323 1.721 2.080 2518 2.831 1.321 1.717 2.074 2.508 2.819 1.319 1.714 2.069 2.500 2.807 1.318 1.711 2.064 2.492 2.797 1.316 1.708 2.060 2.485 2.787 1.315 1.706 2.056 2.479 2.779 1.314 1.703 2.052 2.473 Enter your answer in each of the answer boxes