Estimate the p-value from the T-table. PLEASE SHOW YOURWORK for thefollowing T test

a) df=12, test statistic ts= 1.782, Ha: ?>2______________________________

b) df=12, test statistic ts= 1.782, Ha: ?>0______________________________

c) df=12, test statistic ts= -1.782, Ha: ?>0______________________________

d) df=12, test statistic ts= 2, Ha: ??0______________________________

e) df=12, test statistic ts= -2, Ha: ??0______________________________

f) df=12, test statistic ts= 2, Ha: ?<0______________________________

g) df=12, test statistic ts= 0.5, Ha: ?>0______________________________

h) df=55, test statistic ts= 1.673, Ha: ?>0______________________________

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TABLE C t distribution critical values Degrees of freedom 1 2 778east WN 6 9 11 234567RDSE44272229888 12 13 14 15 16 17 18 19 20 21 30 50 60 80 100 1000 One-sided P Two-sided P Confidence level C 7.453 10.210 7.173 5.893 0.718 0.906 5.208 0.711 0.896 1.119 2.998 3.499 4.785 0.706 0.889 1.108 4.501 0.703 0.883 1.100 3.581 4.587 3.497 4.437 3.428 3.930 4.318 3.372 3.852 4.221 3.326 3.787 4.140 4.073 3.686 4.015 2.583 2.921 3.252 2.567 2.898 3.222 3.646 3.965 3.611 3.922 50% 60% 70% 80% 90% 95% 96% 98% 99% 99.5% 99.8% 1.000 1.376 1.963 3.078 6.314 12.710 15.890 31.820 63.660 127.300 318.300 0.816 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14.090 22.330 0.765 0.978 1.250 1.638 2.353 3.182 3.482 4.541 5.841 0.741 0.941 1.190 1.533 2.132 2.776 2.999 3.747 4.604 0.727 0.920 1.156 1.476 2.015 2.571 2.757 3.365 4.032 1.134 1.440 1.943 2.447 2.612 3.143 3.707 1.415 1.895 2.365 2.517 1.397 1.860 2.306 2.449 2.896 3.355 1.383 1.833 2.262 2.398 2.821 3.250 0.700 0.879 1.093 1.372 1.812 2.228 2.359 2.764 3.169 0.697 0.876 1.088 1.363 1.796 2.201 2.328 2.718 3.106 0.695 0.873 1.083 1.356 1.782 2.179 2.303 2.681 3.055 0.694 0.870 1.079 1.350 1.771 2.160 2.282 2.650 3.012 0.692 0.868 1.076 1.345 1.761 2.145 2.264 2.624 2.977 0.691 0.866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 0.690 0.865 1.071 1.337 1.746 2.120 2.235 0.689 0.863 1.069 1.333 1.740 2.110 2.224 0.688 0.862 1.067 1.330 1.734 2.101 2.214 2.552 2.878 3.197 0.688 0.861 1.066 1.328 1.729 2.093 2.205 2.539 2.861 3.174 0.687 0.860 1.064 1.325 1.725 2.086 2.197 2.528 2.845 3.153 1.063 1.323 1.721 2.080 2.189 2.518 2.831 3.135 0.686 0.858 1.061 1.321 1.717 2.074 2.183 2.508 2.819 3.119 0.858 1.060 1.319 1.714 2.069 2.177 0.857 1.059 1.318 1.711 2.064 2.172 0.684 0.856 1.058 1.316 1.708 2.060 2.167 0.684 0.856 1.058 1.315 1.706 2.056 2.162 0.684 0.855 1.057 1.314 1.703 2.052 2.158 0.683 0.855 1.056 1.313 1.701 2.048 2.154 0.683 0.854 1.055 1.311 1.699 2.045 0.683 0.854 1.055 1.310 1.697 2.042 0.681 0.851 1.050 1.303 1.684 2.021 0.679 0.849 1.047 1.299 1.676 2.009 0.679 0.848 1.045 1.296 1.671 2.000 0.678 0.846 1.043 1.292 1.664 0.677 0.845 1.042 1.290 1.660 1.984 0.675 0.842 1.037 1.282 1.646 1.962 2.056 2.330 0.674 0.841 1.036 1.282 1.645 1.960 2.054 2.326 .025 3.579 3.883 3.552 3.850 0.686 0.859 3.527 3.819 3.505 3.792 0.685 2.500 2.807 3.104 3.485 3.768 0.685 3.467 3.745 3.078 3.450 3.725 3.067 3.435 3.707 3.057 3.421 3.690 2.492 2.797 3.091 2.485 2.787 2.479 2.779 2.473 2.771 2.467 2.763 3.047 2.150 2.462 2.756 3.038 2.147 2.457 2.750 3.030 2.123 2.423 2.704 2.109 2.099 3.408 3.396 3.385 2.971 3.307 2.403 2.678 2.937 3.261 2.390 2.660 2.915 3.232 1.990 2.088 3.195 2.374 2.639 2.887 2.364 2.626 2.871 3.174 2.081 2.581 2.813 3.098 2.576 2.807 3.091 .25 .20 .15 .05 .02 .005 .0025 .001 .50 .40 .30 .10 .05 .04 .01 .005 .002 .10 .20 .01 .02 5.598 4.773 4.317 4.029 3.833 3.690 4.297 4.144 4.025 99.9% 636.600 31.600 12.920 8.610 6.869 5.959 5.408 5.041 4.781 3.674 3.659 3.646 3.551 3.496 3.460 3.416 3.390 3.300 3.291 .0005 .001 TABLE C t distribution critical values Degrees of freedom 1 2 778east WN 6 9 11 234567RDSE44272229888 12 13 14 15 16 17 18 19 20 21 30 50 60 80 100 1000 One-sided P Two-sided P Confidence level C 7.453 10.210 7.173 5.893 0.718 0.906 5.208 0.711 0.896 1.119 2.998 3.499 4.785 0.706 0.889 1.108 4.501 0.703 0.883 1.100 3.581 4.587 3.497 4.437 3.428 3.930 4.318 3.372 3.852 4.221 3.326 3.787 4.140 4.073 3.686 4.015 2.583 2.921 3.252 2.567 2.898 3.222 3.646 3.965 3.611 3.922 50% 60% 70% 80% 90% 95% 96% 98% 99% 99.5% 99.8% 1.000 1.376 1.963 3.078 6.314 12.710 15.890 31.820 63.660 127.300 318.300 0.816 1.061 1.386 1.886 2.920 4.303 4.849 6.965 9.925 14.090 22.330 0.765 0.978 1.250 1.638 2.353 3.182 3.482 4.541 5.841 0.741 0.941 1.190 1.533 2.132 2.776 2.999 3.747 4.604 0.727 0.920 1.156 1.476 2.015 2.571 2.757 3.365 4.032 1.134 1.440 1.943 2.447 2.612 3.143 3.707 1.415 1.895 2.365 2.517 1.397 1.860 2.306 2.449 2.896 3.355 1.383 1.833 2.262 2.398 2.821 3.250 0.700 0.879 1.093 1.372 1.812 2.228 2.359 2.764 3.169 0.697 0.876 1.088 1.363 1.796 2.201 2.328 2.718 3.106 0.695 0.873 1.083 1.356 1.782 2.179 2.303 2.681 3.055 0.694 0.870 1.079 1.350 1.771 2.160 2.282 2.650 3.012 0.692 0.868 1.076 1.345 1.761 2.145 2.264 2.624 2.977 0.691 0.866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 0.690 0.865 1.071 1.337 1.746 2.120 2.235 0.689 0.863 1.069 1.333 1.740 2.110 2.224 0.688 0.862 1.067 1.330 1.734 2.101 2.214 2.552 2.878 3.197 0.688 0.861 1.066 1.328 1.729 2.093 2.205 2.539 2.861 3.174 0.687 0.860 1.064 1.325 1.725 2.086 2.197 2.528 2.845 3.153 1.063 1.323 1.721 2.080 2.189 2.518 2.831 3.135 0.686 0.858 1.061 1.321 1.717 2.074 2.183 2.508 2.819 3.119 0.858 1.060 1.319 1.714 2.069 2.177 0.857 1.059 1.318 1.711 2.064 2.172 0.684 0.856 1.058 1.316 1.708 2.060 2.167 0.684 0.856 1.058 1.315 1.706 2.056 2.162 0.684 0.855 1.057 1.314 1.703 2.052 2.158 0.683 0.855 1.056 1.313 1.701 2.048 2.154 0.683 0.854 1.055 1.311 1.699 2.045 0.683 0.854 1.055 1.310 1.697 2.042 0.681 0.851 1.050 1.303 1.684 2.021 0.679 0.849 1.047 1.299 1.676 2.009 0.679 0.848 1.045 1.296 1.671 2.000 0.678 0.846 1.043 1.292 1.664 0.677 0.845 1.042 1.290 1.660 1.984 0.675 0.842 1.037 1.282 1.646 1.962 2.056 2.330 0.674 0.841 1.036 1.282 1.645 1.960 2.054 2.326 .025 3.579 3.883 3.552 3.850 0.686 0.859 3.527 3.819 3.505 3.792 0.685 2.500 2.807 3.104 3.485 3.768 0.685 3.467 3.745 3.078 3.450 3.725 3.067 3.435 3.707 3.057 3.421 3.690 2.492 2.797 3.091 2.485 2.787 2.479 2.779 2.473 2.771 2.467 2.763 3.047 2.150 2.462 2.756 3.038 2.147 2.457 2.750 3.030 2.123 2.423 2.704 2.109 2.099 3.408 3.396 3.385 2.971 3.307 2.403 2.678 2.937 3.261 2.390 2.660 2.915 3.232 1.990 2.088 3.195 2.374 2.639 2.887 2.364 2.626 2.871 3.174 2.081 2.581 2.813 3.098 2.576 2.807 3.091 .25 .20 .15 .05 .02 .005 .0025 .001 .50 .40 .30 .10 .05 .04 .01 .005 .002 .10 .20 .01 .02 5.598 4.773 4.317 4.029 3.833 3.690 4.297 4.144 4.025 99.9% 636.600 31.600 12.920 8.610 6.869 5.959 5.408 5.041 4.781 3.674 3.659 3.646 3.551 3.496 3.460 3.416 3.390 3.300 3.291 .0005 .001