10.3
Complete parts (a) through (c) below. (a) Determine the critical value(s) for a right-tailed test of a population mean at the a = 0.05 level of significance with 15 degrees of freedom. (b) Determine the critical value(s) for a left-tailed test of a population mean at the o = 0.05 level of significance based on a sample size of n = 20. (c) Determine the critical value(s) for a two-tailed test of a population mean at the a = 0.01 level of significance based on a sample size of n = 11. Click here to view the t-Distribution Area in Right Tail. (a) tcrit = 1.753 (Round to three decimal places as needed.) (b) terit = (1) - (Round to three decimal places as needed.) (c) terit = (2) (Round to three decimal places as needed.) 1: t-Distribution Area in Right Tail f-Distribution Area in Right Tail df 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 2.001 0.0005 di 1.000 1.376 1.963 3.078 6.514 12.706 15.894 31.821 63.657 127.321 $18.309 636.619 0.816 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14.089 22.327 31.599 0.765 0.978 1.250 1.638 2.353 3.182 3.482 4.541 5.841 7 453 10.215 12.924 0.741 0.941 1.190 1.533 2132 2.776 2999 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 6 0.718 0.906 1.134 1.440 1.943 2.447 2.612 3.143 3.707 4.317 5.208 5.959 0.711 0.896 1.119 1.415 1.895 2.365 2517 3.499 4.029 4.785 5.408 8 0.706 0.889 1.108 1.397 1.860 2.306 2.896 3.355 3.833 4.501 5.041 9 0.703 0.883 1.100 1.383 1.833 2.262 2 398 2.821 3.250 3690 4.297 4.781 10 0.879 1.093 1.372 1.812 2.228 2.359 2.764 3.169 3.581 4.144 4.587 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 11 0.695 0.873 1.083 1.356 1.782 2.179 2.303 2.681 3.055 3.428 3.930 4.218 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 0.692 0.868 1.076 1.345 1.761 2.14 2.624 2.977 3 326 3.787 4.140 14 15 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 1.337 1.746 2.120 2.235 2.58 2.921 3.252 3.686 4.015 16 1.069 1.740 2.110 2.567 2.898 3.222 3.646 17 0.688 0.862 1.067 1.330 1.734 2.101 2 214 2.552 2.878 3.197 3.610 3.922 18 0.688 0.861 1.066 1.328 1.729 2.093 2.205 2.539 2.861 3.174 3.579 3.883 19 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 2.08 2.18 2.518 2.831 3.135 3.527 3.819 21 0.68 1.061 1.321 1.717 2.074 2.183 2 508 2.819 3.119 3.505 3.792 0.685 0.858 1.060 1.319 1.714 2.069 2.177 2500 2.807 .104 3.485 3.768 0.685 0.857 1.059 1.711 2.064 2.172 2.492 2.797 3091 3.467 3.745 0.684 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 2.052 2.158 2.473 2.771 3.057 3.421 3.690 0.683 0.855 1.056 1.313 1,701 2.048 2.154 2.150 2467 2.763 3.047 3.408 3.674 0.683 0.854 1.055 1.699 2.04 2.462 2.756 3.038 3.396 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 31 0.682 0.853 1.05 1.309 1.696 2.040 2.144 2.453 2.744 3.022 3.375 3.633 32 0.68 0.853 1.054 1.309 1.694 2.037 2.141 2.449 2.738 3.015 3.365 3.622 32 0.682 0.853 1.053 1.308 1.692 2.035 2.138 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 0.682 0.852 1.052 1.306 1.690 2.030 2.133 2.438 2.724 2996 3.340 3.591 35 0.681 0.852 1.052 1.306 1.688 2.028 2.131 2434 2.719 2990 3.333 3.582 36 0.681 0.851 1.051 1.305 1.687 2.026 2.129 2431 2.715 2085 3.326 3.574 37 0.681 0.851 1.051 1.304 1.686 2.024 2.127 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 3.538 39 40 0.681 0.851 1.050 1.303 1.684 2.021 2.123 2.423 2.704 2971 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 60 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 0.6/8 0.847 1.044 1.294 1.667 1.994 2.093 2.381 2.648 2.899 3.211 3.435 70 0.678 0.846 1.043 1.292 1.664 1.990 2.088 2-214 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 90 100 0.677 0.845 1.042 1.290 1.660 1.984 2.081 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 0.674 0.842 1.036 1.282 1.645 1,960 2.054 2.326 2 576 2 807 3.090 3.291 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) 0 (2) 0 O + OO YOU ANSWERED: + 2.22
