10.3

Print 14. Complete parts (a) through (c a) Determine the critical value(s) for a right-tailed test of a population mean at the a = 0.05 level of significance with 20 degrees of freedom. (b) Determine the critical value(s) for a left-tailed test of a population mean at the o = 0.01 level of significance based on a sample size of n = 10. c) Determine the critical value(s) for a two-tailed test of a population mean at the o = 0.01 level of significance based on a sample size of n = 14. 11 Click here to view the t-Distribution Area in Right Tail. (a) tcrit = (1) (Round to three decimal places as needed.) (b) tcrit = (2) (Round to three decimal places as needed.) (c) tcrit = (3) (Round to three decimal places as needed.) 11: t-Distribution Area in Right Tail t-Distribution Area in Right Tail df 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 df 1.000 1.376 1.963 3.078 6.314 12.706 15.894 31.821 63.657 127.321 318.309 636.619 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14.089 22.327 31.599 0.816 0.765 0.978 1.250 1.638 2.353 3.182 3.482 4.541 5.841 7.453 10.215 12.924 0.74 0.941 1.190 1.533 2.132 2.776 2 999 3.747 4.604 5.598 7.173 8.610 0.727 0.920 1.156 1.476 2.015 2.571 2.757 3.365 4.032 4.773 5.893 6.869 5.959 0.718 0.906 1.134 1.440 1.943 2.447 2.612 3.143 3.707 4.317 5.208 0.711 0.896 1.119 1.415 1.895 2.365 2517 2.998 3.499 4.029 4.785 5.408 0.706 0.889 1.108 1.397 1.860 2.306 2.449 2.896 3.355 3.833 4.501 5.041 0.703 0.883 1.100 1.383 1.833 2.262 2.398 2 821 3.250 3.690 4.297 4.781 0.700 0.879 1.093 1.372 1.812 2.228 2.359 2.764 3.169 3.581 4.144 4.587 11 0.697 0.876 1.088 1.363 1.796 2.201 2.328 2.718 3.106 3.497 4.025 4.437 11 12 0.695 0.873 1.083 1.356 1.782 2.179 2.303 2.681 3.055 3.428 3.930 4.318 12 0.694 0.870 1.079 1.350 1.771 2.160 2.282 2.650 3.012 3.372 3.852 4.221 13 0.868 1.076 1.761 2.145 2.264 2.624 2.977 3.326 3.787 4.140 14 0.69 0.691 0.866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 4.073 15 0.690 0.865 1.071 .337 1.746 2.120 2.235 2.583 2.921 3.252 .686 4.015 16 0.689 0.863 1.069 1.333 1.740 2.110 2.224 2.567 2.898 3.222 3.646 3.965 17 18 18 0.688 0.862 1.067 1.330 1.734 2.101 2.214 2.552 2.878 3.197 3.610 3.922 19 0.688 0.861 1.066 1.328 1.729 2.093 2.205 2539 2.861 3.174 3.579 3.883 19 20 0.687 0.860 1.064 1.325 1.725 2.086 2.197 2.528 2.845 3.153 3.552 3.850 20 0.686 0.859 1.063 1.323 1.721 2.080 2.189 2518 2.831 3.135 3.527 3.819 21 0.686 0.858 1.061 1.321 1.717 2.074 2.183 2.508 2.819 3.119 3.505 3.792 22 0.685 0.858 1.060 1.319 1.714 2.069 2.177 2.500 2.807 3.104 3.485 3.768 0.685 0.857 1.059 1.318 1.711 2.064 2.172 2.492 2.797 3.091 3.467 3.745 0.68 0.856 1.058 1.316 1.708 2.060 2.167 2 485 2.787 3.078 3.450 3.725 0.684 0.856 1.058 1.315 1.706 2.056 2.162 2.479 2.779 3.067 3.435 3.707 0.684 0.855 1.057 1.314 1.703 2.052 2.158 2.473 2.771 3.057 3.421 3.690 0.855 1.313 2.048 2.467 3.408 3.674 0.683 1.056 1.701 2.154 2.763 3.047 0.68 0.854 1.055 1.311 1.699 2.045 2.150 2.462 2.756 3.038 3.39 3.659 0.683 0.854 1.055 1.310 1.697 2.042 2.147 2.457 2.750 3.030 3.385 3.646 0.682 0.853 1.05 1.309 1.696 2.144 2.453 2.744 3.022 3.375 3.633 31 0.682 0.853 1.054 1.309 1.694 2.037 2.141 2.449 2.738 3.015 .365 3.62 32 0.682 0.853 1.053 1.308 1.692 2.035 2.138 2.445 2.733 3.008 3.356 3.611 33 0.682 0.852 1.052 1.307 1.691 2.032 2.136 2.441 2.728 3.002 3.348 3.601 34 35 35 0.682 0.852 1.052 1.306 1.690 2.030 2.133 2.438 2.724 2.996 3.340 3.59 36 0.681 0.852 1.052 1.306 1.688 2.028 2.131 2.434 2.719 2.990 3.333 3.582 36 0.681 0.851 1.051 1.305 1.687 2.026 2.129 2.431 2.715 2.985 3.326 3.574 37 1.051 38 0.681 0.851 1.304 1.686 2.024 2.127 2.429 2.712 2.980 3.319 3.566 39 0.681 0.851 1.050 1.304 1.685 2.023 2.125 2.426 2.708 2.976 3.313 3.558 40 0.681 0.851 1.050 1.303 1.684 2.021 2.123 2423 2.704 2.971 3.307 3.551 40 50 0.679 0.849 1.047 1.299 1.676 2.009 2.109 2.403 2.678 2.937 3.261 3.496 50 0.679 0.848 1.045 1.296 1.671 2.000 2.099 2.390 2.660 2.915 3.232 3.460 60 3.211 3.435 70 70 0.67 0.847 1.044 1.294 1.667 1.994 2.093 2.381 2.648 2.899 30 0.678 0.846 1.043 1.292 1.664 1.990 2.088 2.374 2.639 2.887 3.195 3.416 90 0.677 0.846 1.042 1 291 1.662 1.987 2.084 2.368 2.632 2.878 3.183 3.402 100 0.677 0.845 1.042 1.290 1.660 1.984 2.08 2.364 2.626 2.871 3.174 3.390 100 1000 0.675 0.842 1.037 1.282 1.646 1.962 2.056 2.330 2 581 2.813 3.098 3.300 1000 Z 0.674 0.842 1.036 1.282 1.645 1.960 2 054 2 326 2.576 2.807 3.090 3.291 z df 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 df (1) O - (2) 0 (3) O O 15. To test Ho: H = 40 versus H1: H