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Homework answers / question archive / for the following T test a) df=12, test statistic ts= 1

for the following T test a) df=12, test statistic ts= 1

Statistics

for the following T test

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

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

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

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

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

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

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

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

TABLE C t distribution critical values Confidence level C Degrees of freedom 60% 1.000 1.376 1.061 50% 70% 80% 90% 95% 96% 98% 99% 99.5% 99.8% 99.9% 63.660 9.925 5.841 4.604 4.032 3.707 1.963 3.078 6.314 2.920 2.353 15.890 4.849 3.482 31.820 6.965 127.300 318.300 22.330 10.210 636.600 31.600 12.920 12.710 0.816 0.765 0.978 1.386 1.886 1.638 1.533 1.476 4.303 3.182 14.090 7.453 5.598 4.773 1.250 4.541 3.747 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.132 2.015 1.943 1.895 1.860 1.833 1.812 1.796 1.782 1.771 1.761 1.753 1.746 1.740 2.776 2.571 2.447 2.365 2.306 2.262 2.228 2.201 7.173 5.893 5.208 4.785 8.610 6.869 5.959 5.408 5.041 4.781 4.587 0.741 0.727 0.718 0.711 0.896 1.119 0.706 0.889 1.108 0.703 0.883 1.100 0.700 0.879 1.093 0.697 0.876 1.088 0.695 0.873 0.694 0.870 0.692 0.691 0.690 0.689 0.688 0.688 0.941 0.920 1.190 2.999 1.156 2.757 2.612 2.517 2.449 2.398 2.359 4.317 4.029 3.833 3.690 3.581 3.497 3.428 0.906 1.134 1.440 1.415 1.397 1.383 3.499 3,355 3.250 3.169 3.106 4.501 4.297 4.144 4.025 1.372 1.363 1.356 1.350 1.345 1.074 1.341 10 2.328 2.303 2.282 2.264 11 4.437 4.318 4.221 4.140 4.073 4.015 2.179 2.160 2.145 2.131 2.120 2.110 2.101 2.093 2.681 2.650 2.624 2.602 2.583 2.567 2.552 2.539 3.055 3.012 3.930 3.852 3.787 3.733 3.686 3.646 3.611 3.579 3.552 3.527 3.505 3.485 3.467 3.450 3.435 3.421 3.408 3.396 3.385 12 1.083 13 1.079 1.076 3.372 3.326 3.286 3.252 0.868 0.866 0.865 0.863 0.862 0.861 14 15 16 2.977 2.947 2.921 2.898 2.878 2.861 2.845 2.831 2.249 2.235 1.071 1.069 1.067 1.337 1,333 1.330 1.328 3.965 3.922 3.883 17 2.224 2.214 2.205 2.197 2.189 2.183 2.177 2.172 2.167 2.162 2.158 3.222 18 1.734 1.729 1.725 1.721 1.717 1.714 1.711 1.708 1.706 1.703 1.701 1.699 1.697 1.684 1.676 1.671 1.664 1.660 1.646 1.645 3.197 1.066 1.064 1.063 1.061 1.060 1.059 1.058 1.058 1.057 3.174 19 0.687 0.860 1.325 2.086 2.080 2.074 2.069 2.064 2.060 2.056 2.052 2.528 2.518 2.508 2.500 3.153 3.135 3.119 3.104 3.091 3.078 3.067 3.057 3.047 3.038 3.030 2.971 2.937 2.915 2.887 2.871 3.850 3.819 3.792 3.768 3.745 3.725 3.707 3.690 20 0.686 0.859 21 1.323 0.686 0.858 1.321 2.819 2.807 22 0.685 0.858 0.685 0.857 0.684 0.856 0.684 23 1.319 24 25 26 27 1.318 2.492 2.485 2.479 2.797 1.316 1.315 2.787 0.856 0.684 0.855 0.683 2.779 2.771 1.314 2.473 2.467 2.462 2.457 2.423 2.403 2.390 28 29 30 1.056 1.055 0.854 1.055 1.050 0.855 2.048 2.045 2.154 2.150 2.147 2.123 2.763 2.756 2.750 3.674 3.659 3.646 3.551 3.496 3.460 3.416 3.390 1.313 0.683 0.854 1.311 0.683 0.681 1.310 2.042 2.021 2.009 0.851 0.679 0.849 0.679 1.303 2.704 2.678 2.660 2.639 2.626 3.307 3.261 3.232 3.195 50 60 80 100 1.047 1.045 1.043 1.042 1.299 2.109 0.848 0.678 0.846 0.677 1.296 1.292 1.290 2.099 2.088 2.081 2.000 1.990 2.374 2.364 0.845 1.984 1.962 1.960 3.174 3.098 3.091 1000 0.675 0.842 1.037 1.036 2.056 2.330 2.581 2.813 3.300 3.291 1.282 0.674 0.841 1,282 2.054 2.326 2.576 2.807 One-sided P .15 .10 .01 .0025 .001 .0005 .25 .20 .05 .025 .02 .005 Two-sided P .50 .30 .20 .05 .02 .01 .005 .001 40 .10 .04 .002 8?

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