What is the t value with a 90% confidence interval for the true population mean if the sample size n = 30? (Please keep three decimal places) t value = t Table cum. prob t.50 one-tail 0.50 two-tails 1.00 0.50 df 1 0.000 2 0.000 3 0.000 4 0.000 5 0.000 6 0.000 7 0.000 8 0.000 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 40 N 1.75 t.80 0.25 0.20 0.40 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 1.000 1.963 3.078 6.314 12.71 10.215 7.173 4.032 5.893 0.718 3.707 5.208 0.711 0.896 1.119 3.499 4.785 5.408 1.376 0.816 1.061 1.386 1.886 2.920 4.303 6.965 9.925 22.327 0.765 0.978 1.250 1.638 2.353 3.182 4.541 5.841 0.741 0.941 1.190 1.533 2.132 2.776 3.747 4.604 0.727 0.920 1.156 1.476 2.015 2.571 3.365 0.906 1.134 1.440 1.943 2.447 3.143 1.415 1.895 2.365 2.998 1.397 1.860 2.306 2.896 3.355 1.383 1.833 2.262 2.821 3.250 1.372 1.812 2.228 2.764 3.169 1.363 1.796 2.201 2.718 3.106 1.356 1.782 2.179 2.681 3.055 3.930 1.350 1.771 2.160 2.650 1.345 1.761 2.145 2.624 2.977 0.706 0.889 4.501 5.041 0.703 0.883 4.297 4.781 4.144 4.587 1.108 1.100 0.700 0.879 1.093 0.697 0.876 1.088 0.695 0.873 1.083 0.694 0.870 1.079 0.868 1.076 4.025 4.437 4.318 3.012 3.852 0.692 3.787 0.691 1.753 2.131 2.602 2.947 3.733 0.866 0.690 0.865 1.071 1.074 1.341 1.337 2.921 3.686 3.965 3.610 3.922 0.000 0.000 3.883 3.850 1.746 2.120 2.583 0.000 0.689 0.863 1.069 1.333 1.740 2.110 2.567 2.898 3.646 0.688 0.862 1.067 1.330 1.734 2.101 2.552 2.878 0.688 0.861 1.066 1.328 1.729 2.093 2.539 2.861 3.579 0.000 0.687 0.860 1.064 1.325 1.725 2.086 2.528 2.845 3.552 0.000 0.686 0.859 1.063 1.323 1.721 2.080 2.518 2.831 3.527 3.819 0.000 0.686 0.858 1.061 1.321 1.717 2.074 2.508 2.819 3.505 3.792 0.000 0.685 0.858 1.060 1.319 1.714 2.069 2.500 2.807 3.485 3.768 0.000 0.685 0.857 1.059 1.318 1.711 2.064 2.492 2.797 3.467 0.000 0.684 0.856 1.058 1.316 1.708 2.060 2.485 2.787 3.450 0.684 0.856 1.058 1.315 1.706 2.056 2.479 2.779 3.435 3.707 1.314 1.703 2.052 2.473 2.771 2.048 2.467 2.763 2.045 2.462 2.756 3.396 3.745 3.725 0.000 0.000 0.684 0.855 1.057 3.421 3.690 0.000 0.855 1.056 1.701 3.408 3.674 0.000 0.854 1.055 1.699 3.659 0.000 0.854 1.055 1.697 2.042 2.750 3.385 3.646 2.457 2.423 2.704 3.307 0.000 0.851 1.050 1.684 2.021 3.551 1.045 1.296 1.671 2.000 2.390 2.660 3.232 3.460 1.043 1.292 1.664 1.990 2.374 2.639 3.195 3.416 1.290 1.660 1.984 2.364 2.626 3.174 3.390 0.845 1.042 0.842 1.037 1.282 1.646 1.962 2.330 2.581 3.098 3.300 1.282 1.645 80% 90% 95% Confidence Level 3.291 99.9% 0.683 0.683 0.683 0.681 0.000 0.679 0.848 0.000 0.678 0.846 60 80 100 0.000 0.677 1000 0.000 0.675 0.000 0.674 0% 50% t.90 t.95 t 85 0.15 0.10 0.05 0.30 0.20 0.10 0.05 t 905 199 t 975 0.025 0.01 0.005 0.02 0.842 1.036 60% 70% 1.313 1.311 1.310 1.303 t 999 t 1995 0.001 0.0005 0.01 0.002 0.001 31.82 63.66 318.31 636.62 31.599 12.924 8.610 6.869 5.959 1.960 2.326 98% 2.576 3.090 99% 99.8% 4.221 4.140 4.073 4.015