APPENDIX D STUDENT'S & CRITICAL VALUES This table shows the t-value that defines the area for the stated degrees of freedom (df.). Confidence Level Confidence Level -80 .90 .95 .98 .99 .90 .95 .98 .99 Significance Level for Two-Tailed Test Significance Level for Two-Tailed Test .20 .10 .05 .02 .01 .20 .10 -05 .02 .01 Significance Level for One-Tailed Test Significance Level for One-Tailed Test d.f. .10 .05 .025 -005 d.f. .05 -025 .01 -005 1 3.078 6.314 12.706 31.821 63.657 36 1.306 1.688 2.028 2.434 2.719 2 1.486 2.920 4.303 6.965 9.925 37 1.305 1.687 2.026 2.431 2.715 1.638 2.353 3.182 4.541 5.641 38 1.304 1.686 2.024 2.429 2.712 4 1.533 2.132 2.776 3.747 4.604 39 1.304 1.685 2.023 2.426 2.708 5 1.476 2.015 2.571 3.365 4.032 40 1.303 1.684 2.021 2.423 2.704 6 1,440 1.943 2.447 3.143 3.707 41 1,303 1.683 2.020 2.421 2.701 1.415 1.895 2.365 2.998 3.499 42 1.302 1.682 2.018 2.418 2.698 1.397 1.860 2.306 2.896 3.355 43 1.302 1.681 2.017 2.416 2.695 9 1.383 1.933 2.262 2.821 3.250 44 1.301 1.680 2.015 2.414 2.692 10 1.372 1.812 2.229 2.764 3.169 45 1.301 1.679 2.014 2.412 2.690 11 1.363 1.796 2.201 2.718 3.106 46 1.300 1.679 2.013 2.410 2.687 12 1.356 1.782 2.179 2.681 3.055 47 1.300 1.678 2.012 2.408 2.685 13 1.350 1.771 2.160 2.650 3.012 49 1.299 1.677 2.011 2.407 2.682 14 1.345 1.761 2.145 2.624 2.977 49 1.299 1.677 2.010 2.405 2.680 15 1.341 1.753 2.131 2.602 2.947 50 1.299 1.676 2.009 2403 2.678 16 1.337 1.746 2.120 2.583 2.921 55 1.297 1.673 2.004 2.396 2.668 17 1.333 1.740 2.110 2.567 2.898 60 1.296 1.671 2.000 2.390 2.660 18 1.330 1.734 2.101 2.552 2.678 65 1.295 1.669 1.997 2.385 2.654 19 1.328 1.729 2.093 2.539 2.061 70 1.294 1.667 1.994 2.381 2.648 20 1.325 1.725 2.086 2.528 2.845 75 1.293 1.665 1.992 2.377 2.643 21 1.323 1.721 2.080 2.516 2.831 60 1.292 1.664 1.990 2.374 2.639 22 1.321 1.717 2.074 2.506 2.819 85 1.292 1.663 1.989 2.371 2.635 23 1.319 1.714 2.069 2.500 2.607 90 1.291 1.662 1.987 2.368 2.632 24 1.318 1.711 2.064 2.492 2.797 95 1.291 1,661 1.985 2.365 2.629 25 1.316 1.705 2.060 2.485 2.757 100 1.290 1.660 1.984 2.364 2.626 26 1.315 1.706 2.056 2.479 2.779 110 1.289 1,659 1.982 2.361 2.621 27 1.314 1.703 2.052 2.473 2.771 120 1.289 1.658 1.980 2.354 2617 28 1.313 1.701 2.048 2.467 2.753 130 1.285 1.657 1.978 2.355 2.614 29 1.311 1.699 2.045 2.462 2.756 140 1.289 1.656 1.977 2.353 2.611 30 1.310 1.697 2.042 2.457 2.750 150 1.287 1.655 1.976 2.351 2.609 31 1.309 1.696 2.040 2.453 2.744 1.282 1.645 1.960 2.326 2.576 3.2 1.309 1.694 2.037 2.449 2.738 1.308 1.692 2.035 2.445 2.733 34 1.307 1.691 2.032 2.441 2.726 35 1.306 1.690 2.030 2.439 2.724A regression model to predict Y, the state burglary rate per 100,000 people for 2005, used the following four state predictors: X1 = median age in 2005, X2 = number of 2005 bankruptcies, X3 = 2004 federal expenditures per capita (a leading predictor), and X4 = 2005 high school graduation percentage. (a) Fill in the values in the table given here for a two-tailed test at o = 0.01 with 33 d.f. (Negative values should be indicated by a minus sign. Leave no cells blank - be certain to enter "O" wherever required. Round your t-values to 3 decimal places and p-values to 4 decimal places.) Predictor Coefficient SE tcalc p-value Intercept 4, 761.0570 797 . 1734 AgeMed -30. 867 12.9595 Bankrupt 19.4063 12.8931 FedSpend -0.0183 0. 0103 HSGrad* - 25.8664 7. 1878 (b-1) What is the critical value of Student's t in Appendix Difor a two-tailed test at o = .01 with 33 d.f? (Round your answer to 3 decimal places.) t-value = (b-2) Choose the correct option. O Only FedSpend differs significantly from zero. O Only Bankrupt differs significantly from zero. O Only HSGrad% differs significantly from zero