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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 0.025 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 0.15 with 28 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 0.25 with 9 degrees of freedom. [Hint: Use symmetry.] (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 0.025 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 0.15 with 28 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 0.25 with 9 degrees of freedom. [Hint: Use symmetry.] (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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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 0.025 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 0.15 with 28 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 0.25 with 9 degrees of freedom. [Hint: Use symmetry.] (Round to three decimal places as needed.) (d) Find the critical t-value that corresponds to 60% 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 0.025 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 0.15 with 28 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 0.25 with 9 degrees of freedom. [Hint: Use symmetry.] (Round to three decimal places as needed.) (d) Find the critical t-value that corresponds to 60% confidence. Assume 24 degrees of freedom. (Round to three decimal places as needed.)
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 1.376 1.061 0.978 3.078 1.886 1.638 1.533 6.314 2.920 2.353 12.706 4.303 15.894 4.849 63.657 9.925 127.321 1.000 0.816 3 1 1.963 31.821 6.965 4.541 318.309 22.327 636.619 31.599 1.386 14.089 0.765 4 0.741 1.250 1.190 3.182 2.776 3.482 2.999 12.924 8.610 5.841 7.453 5.598 10.215 7.173 0.941 2.132 3.747 4.604 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 7. 0.711 0.706 0.906 0.896 1.134 1.119 1.943 1.895 2.447 2.365 3.707 3.499 3.355 3.250 3.169 4.317 4.029 3.833 3.690 3.581 5.959 5.408 5.208 4.785 1.440 2.612 3.143 1.415 2.517 2.998 8. 0.703 0.889 0.883 1.108 1.100 1.397 1.383 1.860 1.833 2.306 2.262 2.228 2.449 2.398 2.359 2.896 2.821 4.501 5.041 4.781 4.297 10 0.700 0.879 1.093 1.372 1.812 2.764 4.144 4.587 0.697 0.695 2.201 2.179 3.497 3.428 3.372 3.326 4.025 3.930 11 0.876 1.088 1.363 1.796 2.328 2.718 3.106 3.055 3.012 2.977 4.437 4.318 0.873 0.870 12 1.083 1.356 1.782 2.303 2.681 13 14 0.694 0.692 1.079 1.350 1.345 1.771 1.761 2.160 2.145 2.282 2.264 2.650 3.852 3.787 4.221 1.076 2.624 0.868 0.866 4.140 4.073 15 0.691 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 1.337 1.333 1.330 1.328 1.325 16 0.690 0.865 1.071 1.069 1.746 2.120 2.235 2.583 2.921 3.252 3.686 4.015 3.965 2.567 2.552 2.539 2.528 2.224 2.898 17 18 0.689 0.688 3.646 3.610 0.863 0.862 0.861 0.860 1.740 1.734 2.110 2.101 2.093 2.086 3.222 3.197 1.067 1.066 1.064 2.214 2.205 2.197 2.878 2.861 2.845 3.922 19 0.688 1.729 3.174 3.579 3.883 20 0.687 1.725 3.153 3.552 3.850 21 0.859 1.323 1.721 2.080 2.189 2.518 2.831 3.527 0.686 0.686 0.685 1.063 1.061 3.135 3.119 3.104 3,819 3.792 22 0.858 1.321 1.319 1.318 1.316 1.717 1.714 2.074 2.069 2.183 2.177 2.508 2.819 2.807 2.797 2.787 3,505 3.485 3.467 3.450 23 0.858 1.060 2.500 3.768 2.172 2.167 24 0.685 0.857 1.059 1.711 2.064 2.492 3.091 3.745 0.684 0.856 1.058 1.708 2.060 2.485 3.078 3.725 3.067 3.057 3.047 3.038 3.030 1.315 1.314 1.313 1.706 1.703 1.701 3.435 3.421 26 3.707 0.684 0.684 0.683 0.856 1.058 1.057 1.056 2.056 2.052 2.162 2.479 2.779 27 0.855 2.158 2.473 2.771 3.690 0.855 2.467 2.763 28 29 30 2.048 2.045 2.154 2.150 2.147 3.408 3.396 3.385 3.674 3.659 3.646 0.683 0.854 1.055 1.311 1.699 2.462 2.756 0.683 0.854 1.055 1.310 1.697 2.042 2.457 2.750 2.144 2.141 0.682 2.040 2.037 0.853 1.054 1.054 1.309 1.696 2.453 2.744 3.022 31 32 3.375 3.365 3.633 3.622 0.682 0.853 1.309 1.694 2.449 2.738 3.015 0.853 0.852 0.852 0.682 33 34 1.053 1.052 1.052 1.308 1.307 1.306 1.692 1.691 1.690 2.035 2.032 2.030 2.138 2.136 2.133 2.445 2.733 3.008 3.002 2.996 3.356 3.348 3.340 3.611 0.682 2.441 2.728 3.601 35 0.682 2.438 2.724 3.591 0.852 0.851 0.851 0.851 2.719 2.715 3.333 3.326 36 0.681 0.681 0.681 0.681 1.052 1.306 1.305 1.688 2.028 2.026 2.131 2.434 2.431 2.990 3.582 3.574 3.566 3.558 37 1.051 1.687 2.129 2.985 38 1.051 1.050 1.050 1.304 1.686 2.024 2.127 2.125 2.123 2.429 2.712 2.980 2.976 2.971 3.319 39 1.304 1.685 2.023 2.426 2.708 3.313 40 0.681 0.851 1.303 1.684 2.021 2.423 2.704 3.307 3.551 50 60 0.679 0.679 2.403 2.390 2.678 2.660 2.937 2.915 0.849 1.047 1.299 1.676 1.671 2.009 2.109 2.099 3.261 3.496 0.848 0.847 1.045 1.044 1.043 1.042 1.296 2.000 3.232 3.460 70 0.678 1.294 1.667 1.664 1.662 1.994 2.093 2.381 2.648 2.639 2.632 2.899 3.211 3.435 80 0.678 1.292 1.990 2.088 2.374 2.887 3.195 3.416 0.846 0.846 90 0.677 1.291 1.987 2.084 2.368 2.878 3.183 3.402 100 0.677 0.675 0.674 0.845 1.042 1.290 1.282 1.282 1.660 1.984 1.962 1.960 2.081 2.056 2.054 2.364 2.626 2.871 3.174 3.390 2.581 2.576 2.813 2.807 3.098 3.090 1000 0.842 1.037 1.646 2.330 3.300 0.842 1.036 1.645 2.326 3.291
Transcribed Image Text: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 1.376 1.061 0.978 3.078 1.886 1.638 1.533 6.314 2.920 2.353 12.706 4.303 15.894 4.849 63.657 9.925 127.321 1.000 0.816 3 1 1.963 31.821 6.965 4.541 318.309 22.327 636.619 31.599 1.386 14.089 0.765 4 0.741 1.250 1.190 3.182 2.776 3.482 2.999 12.924 8.610 5.841 7.453 5.598 10.215 7.173 0.941 2.132 3.747 4.604 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 7. 0.711 0.706 0.906 0.896 1.134 1.119 1.943 1.895 2.447 2.365 3.707 3.499 3.355 3.250 3.169 4.317 4.029 3.833 3.690 3.581 5.959 5.408 5.208 4.785 1.440 2.612 3.143 1.415 2.517 2.998 8. 0.703 0.889 0.883 1.108 1.100 1.397 1.383 1.860 1.833 2.306 2.262 2.228 2.449 2.398 2.359 2.896 2.821 4.501 5.041 4.781 4.297 10 0.700 0.879 1.093 1.372 1.812 2.764 4.144 4.587 0.697 0.695 2.201 2.179 3.497 3.428 3.372 3.326 4.025 3.930 11 0.876 1.088 1.363 1.796 2.328 2.718 3.106 3.055 3.012 2.977 4.437 4.318 0.873 0.870 12 1.083 1.356 1.782 2.303 2.681 13 14 0.694 0.692 1.079 1.350 1.345 1.771 1.761 2.160 2.145 2.282 2.264 2.650 3.852 3.787 4.221 1.076 2.624 0.868 0.866 4.140 4.073 15 0.691 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 1.337 1.333 1.330 1.328 1.325 16 0.690 0.865 1.071 1.069 1.746 2.120 2.235 2.583 2.921 3.252 3.686 4.015 3.965 2.567 2.552 2.539 2.528 2.224 2.898 17 18 0.689 0.688 3.646 3.610 0.863 0.862 0.861 0.860 1.740 1.734 2.110 2.101 2.093 2.086 3.222 3.197 1.067 1.066 1.064 2.214 2.205 2.197 2.878 2.861 2.845 3.922 19 0.688 1.729 3.174 3.579 3.883 20 0.687 1.725 3.153 3.552 3.850 21 0.859 1.323 1.721 2.080 2.189 2.518 2.831 3.527 0.686 0.686 0.685 1.063 1.061 3.135 3.119 3.104 3,819 3.792 22 0.858 1.321 1.319 1.318 1.316 1.717 1.714 2.074 2.069 2.183 2.177 2.508 2.819 2.807 2.797 2.787 3,505 3.485 3.467 3.450 23 0.858 1.060 2.500 3.768 2.172 2.167 24 0.685 0.857 1.059 1.711 2.064 2.492 3.091 3.745 0.684 0.856 1.058 1.708 2.060 2.485 3.078 3.725 3.067 3.057 3.047 3.038 3.030 1.315 1.314 1.313 1.706 1.703 1.701 3.435 3.421 26 3.707 0.684 0.684 0.683 0.856 1.058 1.057 1.056 2.056 2.052 2.162 2.479 2.779 27 0.855 2.158 2.473 2.771 3.690 0.855 2.467 2.763 28 29 30 2.048 2.045 2.154 2.150 2.147 3.408 3.396 3.385 3.674 3.659 3.646 0.683 0.854 1.055 1.311 1.699 2.462 2.756 0.683 0.854 1.055 1.310 1.697 2.042 2.457 2.750 2.144 2.141 0.682 2.040 2.037 0.853 1.054 1.054 1.309 1.696 2.453 2.744 3.022 31 32 3.375 3.365 3.633 3.622 0.682 0.853 1.309 1.694 2.449 2.738 3.015 0.853 0.852 0.852 0.682 33 34 1.053 1.052 1.052 1.308 1.307 1.306 1.692 1.691 1.690 2.035 2.032 2.030 2.138 2.136 2.133 2.445 2.733 3.008 3.002 2.996 3.356 3.348 3.340 3.611 0.682 2.441 2.728 3.601 35 0.682 2.438 2.724 3.591 0.852 0.851 0.851 0.851 2.719 2.715 3.333 3.326 36 0.681 0.681 0.681 0.681 1.052 1.306 1.305 1.688 2.028 2.026 2.131 2.434 2.431 2.990 3.582 3.574 3.566 3.558 37 1.051 1.687 2.129 2.985 38 1.051 1.050 1.050 1.304 1.686 2.024 2.127 2.125 2.123 2.429 2.712 2.980 2.976 2.971 3.319 39 1.304 1.685 2.023 2.426 2.708 3.313 40 0.681 0.851 1.303 1.684 2.021 2.423 2.704 3.307 3.551 50 60 0.679 0.679 2.403 2.390 2.678 2.660 2.937 2.915 0.849 1.047 1.299 1.676 1.671 2.009 2.109 2.099 3.261 3.496 0.848 0.847 1.045 1.044 1.043 1.042 1.296 2.000 3.232 3.460 70 0.678 1.294 1.667 1.664 1.662 1.994 2.093 2.381 2.648 2.639 2.632 2.899 3.211 3.435 80 0.678 1.292 1.990 2.088 2.374 2.887 3.195 3.416 0.846 0.846 90 0.677 1.291 1.987 2.084 2.368 2.878 3.183 3.402 100 0.677 0.675 0.674 0.845 1.042 1.290 1.282 1.282 1.660 1.984 1.962 1.960 2.081 2.056 2.054 2.364 2.626 2.871 3.174 3.390 2.581 2.576 2.813 2.807 3.098 3.090 1000 0.842 1.037 1.646 2.330 3.300 0.842 1.036 1.645 2.326 3.291
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