10.3

16. Assume that both populations are normally distributed. Sample 1 Sample 2 a) Test whether H1 > H2 at the H2. H1: Hy

H2 O C. Ho: H1 = H2, H1: My

H2 Determine the test statistic. t= (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) A. The critical value is OB. The lower critical value is The upper critical value is Should the hypothesis be rejected? (1) - the null hypothesis because the test statistic (2) the critical region. b) Construct a 95% confidence interval about 1 - H2 The confidence interval is the range from to (Round to two decimal places as needed. Use ascending order.) 3: Student t-Distribution Table Area in right tail f-Distribution Area in Right Tail Degrees of Freedom 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 1.000 1.376 1.963 3.078 6.314 12.706 15.894 31.821 63.657 127.321 318.309 636.619 0.816 1.061 1.386 1.886 2.92 4.303 1.849 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 7453 10.215 12.924 0.741 0.941 1.190 1.533 2.132 2.776 2.999 3.74 4.604 5.598 7173 8.610 0.727 0.020 1.156 1.476 2015 2.571 2.757 3.365 4.032 4.773 5.893 6.869 0.718 0.906 1.134 1.440 1.043 2.44 2 612 3.14 3.707 4.317 5.208 5.950 0.711 0.896 1.119 1.415 1.895 2.365 2 517 2.99 3.490 4.029 4.785 0.706 0.889 1.108 5.408 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 2.308 2.821 3.250 3.690 4.207 4.781 0.700 0.879 1.093 1.372 1.812 2.228 2.359 2.76 3.169 3.581 4.144 .587 0.697 0.876 1088 1.363 2.201 2.328 2.718 3.106 3.497 4.025 1.437 0.695 0.873 1.083 1.356 1,782 2.179 2.303 2.681 3.055 3.428 3.930 4.318 0.694 0.870 1.079 1.350 1.771 2.160 2 282 2.650 3.012 3.372 3.852 4.221 0.692 0.868 1076 1.345 1,761 2.145 2.264 2.624 2.977 3.326 3.787 4.140 0.691 0.866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 4.073 0.690 0.865 1.071 1.337 1,746 2.120 2.235 2.58 2.921 3.252 3.686 4.015 0.689 0.863 1.333 2.110 2 567 2.898 3.222 3.646 3.965 0.688 0.862 1.067 1.330 1.734 2.101 2.214 2.552 2.878 3.197 3.610 3.022 0.688 0.861 1.066 1.328 1,720 2.093 2.205 2 530 2.861 3.174 3.579 3.883 0.687 0.860 1.064 1.325 1.725 2.086 2.197 2.528 2845 3.153 3.552 3.850 0.686 0.850 1.063 1323 1.721 2.080 2.189 2.518 2.831 3.135 3.527 3.819 0.686 0.858 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 2.06 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 0.684 0.856 1.058 1.316 1.708 2.060 2.167 2.485 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 2.05 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 2.467 2.763 3.047 3.408 3.674 0.683 0.854 L055 1.311 1.699 2.045 2.150 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 0.682 0.853 1.054 1.309 1.696 2.040 2.144 2.453 2.744 3.022 3.375 3.633 0.682 0.853 1.309 1.60 2.03 2.141 2.440 3.015 3.365 3.622 0.682 0.853 1.053 1.308 1.692 2.035 2.138 2.445 2.733 3.008 3.356 3.611 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 0852 1.052 1.306 1.690 2.030 2.133 2.438 2.724 2.996 3.34 3.591 0.681 0.852 1.052 1.306 1.688 2.028 2.131 2434 2.719 2.990 3.333 3.587 0.681 0.851 1.051 1.305 1.687 2.026 2.129 2.431 2.715 2.085 3.32 3.574 0.681 0.851 1.051 1.304 1.686 2.02 2.127 2.429 2.712 2.980 3.319 3.56 0.681 0.851 1.050 1.304 1.685 2.023 2.125 2.426 2.708 2.976 3.313 3.558 0.681 0.851 1.050 1.303 2.021 2.123 2.423 2.971 3.307 3.551 0.679 0.849 1.047 1.209 1.676 2.009 2.109 2.403 2.678 2.937 3.261 3.496 0.679 0.848 1.045 1.296 1.671 2.000 2.099 2.390 2.660 2.915 3.232 3.460 0.678 0.847 1.044 1.294 1.667 1.994 2.093 2.381 2.648 2.899 3.211 3.435 0.678 0.846 1.043 1.292 1.664 1.990 2.088 2.374 2.639 2.887 3.195 3.416 0.677 0.846 1.042 1.291 1.662 1.987 2.084 2.368 2.632 2.878 3.183 .402 100 0.677 0.845 1.042 1.290 1.660 1.984 2.081 2.36 2.626 2.871 3.174 3.390 1090 0.675 0.842 1.037 1.282 1.646 1.962 2056 2.330 2.581 2.813 3.008 3.300 0.674 0.842 1.036 1282 1.645 1.960 2054 2.326 2.576 2.807 3.090 3.291 Degrees of 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 Freedom t-Distribution Area in Right Tail (1) O Do not reject (2) O is not in O Reject O is in