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Determine the t-value in each of the cases. Click the icon to view the table of areas under the t-distribution. (a) Find the t-value such that the area in the right tail is 0.005 with 16 degrees of freedom. (Round to three decimal places as needed.)

Determine the t-value in each of the cases. Click the icon to view the table of areas under the t-distribution. (a) Find the t-value such that the area in the right tail is 0.005 with 16 degrees of freedom. (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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-Area in right tail Table VI t-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 0.001 0.0005 12.706 4.303 1 0.816 3 1.376 1.061 0.978 0.941 0.920 1.963 1.386 1.250 1.190 1.156 3.078 1.886 1.638 1.533 1.476 6.314 2.920 2.353 2.132 2.015 15.894 4.849 3.482 2.999 2.757 31.821 6.965 4.541 3.747 3.365 318.309 22.327 10.215 7.173 5.893 636.619 31.599 12.924 8.610 6.869 63.657 127.321 14.089 7.453 5.598 4.773 1.000 2 9.925 0.765 4 3.182 2.776 2.571 5.841 4.604 4.032 0.741 5 0.727 1.440 1.415 3.707 3.499 3.355 3.250 3.169 0.906 1.134 1.119 1.108 1.100 1.943 1.895 1.860 1.833 1.812 3.143 2.998 2.896 2.821 5.208 0.718 0.711 2.447 2.365 2.306 2.262 2.228 2.612 2.517 4.317 4.029 5.959 5.408 5.041 4.781 7 0.896 0.889 0.883 0.879 1.397 1.383 1.372 4.785 4.501 4.297 8 0.706 2.449 3,833 0.703 2.398 2.359 9 3.690 10 0.700 1.093 2.764 3.581 4.144 4.587 0.697 0.695 0.694 0.692 0.691 11 12 13 0.876 0.873 1.363 1.356 1.350 1.345 2.328 2.303 2.282 2.264 2.249 3.106 3.055 3.012 2.977 2.947 1.088 1.796 2.201 2.718 3.497 4.025 3.930 3.852 3.787 4.437 1.782 1.771 1.761 1.753 2.179 2.160 2.145 2.131 4.318 4.221 1.083 2.681 1.079 1.076 1.074 3.428 3.372 3.326 3.286 0.870 2.650 0.868 0.866 2.624 2.602 14 4.140 15 1.341 3.733 4.073 0.865 0.863 0.862 1.071 1.069 1.067 1.066 1.064 1.337 1.333 1.330 1.328 1.325 2.120 2.110 2.101 2.093 2.086 2.583 2.567 2.552 2.539 2.528 2.921 2.898 2.878 2.861 2.845 16 0.690 1.746 0.689 0.688 0.688 0.687 1.740 1.734 1.729 1.725 2.235 2.224 2.214 2.205 2.197 3.252 3.222 3.197 3.174 3.153 3.686 3.646 3.610 3.579 3.552 4.015 3.965 3.922 3.883 3.850 17 18 0.861 0.860 19 20 2.080 2.074 2.069 2.064 2.060 0.686 0.686 2.189 2.183 0.859 1.063 1.061 1.323 1.321 2.518 2.508 2.500 2.492 2.485 3.527 3.505 3.485 3.467 3.450 21 1.721 1.717 2.831 3.135 3.819 0.858 0.858 0.857 0.856 2.819 2.807 2.797 2.787 3.119 3.104 3.091 3.078 22 3.792 3.768 3.745 3.725 23 0.685 0.685 0.684 1.060 1.319 1.318 1.316 1.714 2.177 24 25 1.711 1.708 2.172 2.167 1.059 1.058 26 27 28 29 30 0.856 0.855 0.855 0.854 0.854 1.058 1.057 1.056 1.055 1.055 1.315 1.314 1.313 1.311 1.310 2.056 2.052 2.048 2.045 2.042 2.162 2.158 2.154 2.150 2.147 2.479 2.473 2.467 2.462 2.457 2.779 2.771 2.763 2.756 2.750 3.067 3.057 3.047 3.038 3.030 3.435 3.421 3.408 3.396 3.385 3.707 3.690 3.674 3.659 3.646 0.684 1.706 0.684 0.683 0.683 0.683 1.703 1.701 1.699 1.697 0.682 0.682 1.309 1.309 1.308 1.307 1.306 1.696 1.694 1.692 2.040 2.037 2.035 2.032 2.030 2.453 2.449 2.445 2.441 2.438 2.744 2.738 2.733 2.728 2.724 3.022 3.015 3.008 3.002 2.996 3.375 3.365 3.633 3.622 3.611 0.853 2.144 2.141 31 1.054 32 33 34 35 0.853 1.054 2.138 2.136 2.133 0.682 0.853 1.053 3.356 3.348 3.340 0.682 0.852 1.052 1.691 3.601 0.682 0.852 1.052 1.690 3.591 0.852 0.851 0.851 0.851 0.851 2.434 36 37 38 0.681 1.052 1.051 1.051 1.050 1.050 1.306 1.305 1.304 1.304 1.303 1.688 1.687 1.686 2.028 2.026 2.024 2.131 2.129 2.127 2.431 2.429 2.426 2.423 2.719 2.715 2.712 2.708 2.704 2.990 2.985 2.980 2.976 2.971 3.333 3.326 3.319 3.313 3.307 3.582 3.574 3.566 0.681 0.681 0.681 1.685 1.684 2.023 2.021 39 2.125 3.558 40 0.681 2.123 3.551 0.679 0.679 0.678 0.678 0.849 0.848 0.847 0.846 1.047 1.045 1.044 1.043 2.109 2.099 2.093 2.403 2.390 2.381 2.374 2.937 2.915 3.261 3.232 3.211 3.195 3.496 3.460 3.435 3.416 50 1.299 1.676 2.009 1.296 1.294 1.292 2.000 1.994 1.990 2.678 2.660 2.648 2.639 60 1.671 1.667 1.664 70 2.899 80 2.088 2.887
Transcribed Image Text:-Area in right tail Table VI t-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 0.001 0.0005 12.706 4.303 1 0.816 3 1.376 1.061 0.978 0.941 0.920 1.963 1.386 1.250 1.190 1.156 3.078 1.886 1.638 1.533 1.476 6.314 2.920 2.353 2.132 2.015 15.894 4.849 3.482 2.999 2.757 31.821 6.965 4.541 3.747 3.365 318.309 22.327 10.215 7.173 5.893 636.619 31.599 12.924 8.610 6.869 63.657 127.321 14.089 7.453 5.598 4.773 1.000 2 9.925 0.765 4 3.182 2.776 2.571 5.841 4.604 4.032 0.741 5 0.727 1.440 1.415 3.707 3.499 3.355 3.250 3.169 0.906 1.134 1.119 1.108 1.100 1.943 1.895 1.860 1.833 1.812 3.143 2.998 2.896 2.821 5.208 0.718 0.711 2.447 2.365 2.306 2.262 2.228 2.612 2.517 4.317 4.029 5.959 5.408 5.041 4.781 7 0.896 0.889 0.883 0.879 1.397 1.383 1.372 4.785 4.501 4.297 8 0.706 2.449 3,833 0.703 2.398 2.359 9 3.690 10 0.700 1.093 2.764 3.581 4.144 4.587 0.697 0.695 0.694 0.692 0.691 11 12 13 0.876 0.873 1.363 1.356 1.350 1.345 2.328 2.303 2.282 2.264 2.249 3.106 3.055 3.012 2.977 2.947 1.088 1.796 2.201 2.718 3.497 4.025 3.930 3.852 3.787 4.437 1.782 1.771 1.761 1.753 2.179 2.160 2.145 2.131 4.318 4.221 1.083 2.681 1.079 1.076 1.074 3.428 3.372 3.326 3.286 0.870 2.650 0.868 0.866 2.624 2.602 14 4.140 15 1.341 3.733 4.073 0.865 0.863 0.862 1.071 1.069 1.067 1.066 1.064 1.337 1.333 1.330 1.328 1.325 2.120 2.110 2.101 2.093 2.086 2.583 2.567 2.552 2.539 2.528 2.921 2.898 2.878 2.861 2.845 16 0.690 1.746 0.689 0.688 0.688 0.687 1.740 1.734 1.729 1.725 2.235 2.224 2.214 2.205 2.197 3.252 3.222 3.197 3.174 3.153 3.686 3.646 3.610 3.579 3.552 4.015 3.965 3.922 3.883 3.850 17 18 0.861 0.860 19 20 2.080 2.074 2.069 2.064 2.060 0.686 0.686 2.189 2.183 0.859 1.063 1.061 1.323 1.321 2.518 2.508 2.500 2.492 2.485 3.527 3.505 3.485 3.467 3.450 21 1.721 1.717 2.831 3.135 3.819 0.858 0.858 0.857 0.856 2.819 2.807 2.797 2.787 3.119 3.104 3.091 3.078 22 3.792 3.768 3.745 3.725 23 0.685 0.685 0.684 1.060 1.319 1.318 1.316 1.714 2.177 24 25 1.711 1.708 2.172 2.167 1.059 1.058 26 27 28 29 30 0.856 0.855 0.855 0.854 0.854 1.058 1.057 1.056 1.055 1.055 1.315 1.314 1.313 1.311 1.310 2.056 2.052 2.048 2.045 2.042 2.162 2.158 2.154 2.150 2.147 2.479 2.473 2.467 2.462 2.457 2.779 2.771 2.763 2.756 2.750 3.067 3.057 3.047 3.038 3.030 3.435 3.421 3.408 3.396 3.385 3.707 3.690 3.674 3.659 3.646 0.684 1.706 0.684 0.683 0.683 0.683 1.703 1.701 1.699 1.697 0.682 0.682 1.309 1.309 1.308 1.307 1.306 1.696 1.694 1.692 2.040 2.037 2.035 2.032 2.030 2.453 2.449 2.445 2.441 2.438 2.744 2.738 2.733 2.728 2.724 3.022 3.015 3.008 3.002 2.996 3.375 3.365 3.633 3.622 3.611 0.853 2.144 2.141 31 1.054 32 33 34 35 0.853 1.054 2.138 2.136 2.133 0.682 0.853 1.053 3.356 3.348 3.340 0.682 0.852 1.052 1.691 3.601 0.682 0.852 1.052 1.690 3.591 0.852 0.851 0.851 0.851 0.851 2.434 36 37 38 0.681 1.052 1.051 1.051 1.050 1.050 1.306 1.305 1.304 1.304 1.303 1.688 1.687 1.686 2.028 2.026 2.024 2.131 2.129 2.127 2.431 2.429 2.426 2.423 2.719 2.715 2.712 2.708 2.704 2.990 2.985 2.980 2.976 2.971 3.333 3.326 3.319 3.313 3.307 3.582 3.574 3.566 0.681 0.681 0.681 1.685 1.684 2.023 2.021 39 2.125 3.558 40 0.681 2.123 3.551 0.679 0.679 0.678 0.678 0.849 0.848 0.847 0.846 1.047 1.045 1.044 1.043 2.109 2.099 2.093 2.403 2.390 2.381 2.374 2.937 2.915 3.261 3.232 3.211 3.195 3.496 3.460 3.435 3.416 50 1.299 1.676 2.009 1.296 1.294 1.292 2.000 1.994 1.990 2.678 2.660 2.648 2.639 60 1.671 1.667 1.664 70 2.899 80 2.088 2.887
Determine the t-value in each of the cases. Click the icon to view the table of areas under the t-distribution. ..... (a) Find the t-value such that the area in the right tail is 0.005 with 16 degrees of freedom. (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.02 with 13 degrees of freedom. (Round to three decimal places as needed.) (c) Find the t-value such that the area left of the t-value is 0.025 with 19 degrees of freedom. [Hint: Use symmetry.] (Round to three decimal places as needed.) (d) Find the critical t-value that corresponds to 90% confidence. Assume 24 degrees of freedom. (Round to three decimal places as needed.)
Transcribed Image Text:Determine the t-value in each of the cases. Click the icon to view the table of areas under the t-distribution. ..... (a) Find the t-value such that the area in the right tail is 0.005 with 16 degrees of freedom. (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.02 with 13 degrees of freedom. (Round to three decimal places as needed.) (c) Find the t-value such that the area left of the t-value is 0.025 with 19 degrees of freedom. [Hint: Use symmetry.] (Round to three decimal places as needed.) (d) Find the critical t-value that corresponds to 90% confidence. Assume 24 degrees of freedom. (Round to three decimal places as needed.)
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