t Distrilbution Area in Right Tail 0.25 0.20 .15 0.10 0.05 0.025 0.02 0.01 0.005

Question

t Distrilbution Area in Right Tail 0.25 0.20 .15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 1 1.000 1376 1.963 3.078 6.314 12.706 15.894 31.82 63.657 127.321 318.309 636.619 2 0816 106 1.386 1886 2.920 4.303 4.849 6.965 9.925 14.089 22.327 31.599 3 0765 0978 1.250 1638 2.353 3.182 3.482 4.541 584 7453 10.215 2.924 4 0.74 0.941 1.190 1.533 2.132 2.776 93.747 4.60 5.598 7.173 5 0.727 0.920 1.156 1476 2015 2.57 757 3.365 4.032 4.773 5.893 6 0.718 0.906 .134 1440 43 2.447 2.612 3.143 7 0.711 0896 9 1415 1895 2.365 2.517 2.998 8 0.706 0.889 1.108 1.397 1.860 2.306 2449 2s% 3.355 3.03 4.501 9 0.703 0883 1.100 1383 1833 2.262 2.398 2.821 3.250 3.690 4.297 10 0.700 0.879 1093 1372 1812 2.228 2359 2.764 3.169 3.58 4.144 587 3.499 4.029 4.785 11 0.697 0.876 1088 1.363 1.796 2.20 2328 2.718 3.106 3.497 4.025 12 0695 0873 1083 1356 .782 2.79 2303 2.68 3.055 3.428 3.930 13 0.694 0.870 1.079 1350 1.77 2.160 2.282 2.650 3.012 3.372 3.852 14 0.692 0868 1076 345 1.76 2.145 2.264 2.624 2977 3.326 3.787 15 0.691 0866 1074 34 1.753 2.13 2.249 2.602 2947 3.286 3.733 4.073 16 0.690 0865 1.071 1337 1.746 2.120 2.235 2.583 .92 3.252 3.686 17 0.689 0863 1069 333 1.740 2.110 2.224 2.567 2.88 3222 3.646 3 18 0.688 0.862 1.067 1.330 1.734 2.10 2.214 2.552 2878 3.197 3.610 19 0.688 0861 1066 328 .729 2.093 2.205 2.539 2.861 20 0.687 0860 1064 1325 725 2.086 2.197 2.528 2.845 33 3.552 21 0.686 0859 1063 1.323 1.721 2.080 2.189 2.518 2.83 3.135 3.527 22 0.686 0858 106 1.32 77 2.42183 2.508 2819 3.19 3.505 3.792 23 0.685 0.858 1060 1319 1714 2.069 2.177 2.500 2.807 3.104 3.485 24 0.685 0.857 1.059 318 1.71 64 2.172 2.492 2.797 3.091 3.467 3.7 26 0.684 0856 1.058 .315 1.706 2.056 2.162 2.479 2.779 3.067 27 0.684 0855 1057 1314 1.703 2.052 2.158 2.473 2.771 3.07 3.421 28 0.683 0855 1056 1.313 1.701 2.048 2.154 2.467 2.763 3.047 3.408 29 0.683 0854 1055 .31 6992.045 2.150 2462 2.756 3.038 3.3 30 0.683 0.854 1.055 .310 .697 2.042 2.147 2.457 2.750 3.030 3.385 31 0682 0853 1.054 1309 696 2.040 2.144 2.453 2.7443.02 32 0.682 0853 10541.309 694 2.037 2. 2.449 2.738 3.05 3.365 3.622 33 0682 0853 1053 1.308 .692 2.035 2.138 2445 2.733 300 3.356 3.611 34 0.682 0.852 1052 30769 2.032 2.136 2.44 2.728 3.002 3.348 35 0.682 0852 1052 1306 1690 2.030 2.133 2.438 2.724 2.996 3.340 36 0.681 0852 1052 306 1.688 2.028 .131 2434 2.719 2.990 3.333 37 0.681 0851 1.051 1.305 1.687 2.026 .129 2431 2.715 2985 3.326 38 0681 0851 1.051 .304 1.686 2.024 2.127 2.429 2.712 2.980 39 0.68 0851 1.050 1304 685 2023 2.125 2.426 2.708 40 0.681 0851 1.050 1.303 1.684 2.021 2.123 2423 2.70 2.971 50 0.679 0849 1.047 1.299 1676 2.009 2109 2.403 2.678 2937 3.261 60 0.679 0848 1045 1.296 67 2.000 29 2.390 2.660 2.915 3.232 70 0.678 0.847 1.044 1.294 1.667 1.994 2.093 2.381 2648 2899 3211 3307 90 0.677 0846 1.042 1.291 1.662 1987 2.084 2.368 2.632 2.878 3.183 100 0.677 0.845 1.042 1.290 1.660 1984 2.081 2.364 2.626 2.871 1000 0.675 0.842 1.037 1.282 1.646 962 2.056 2.330 2.581 2.813 0.674 0842 1.036 1.282 1.645 1.960 .04 2.326 2.576 2807 3.090 d 0.25 0.20 0.5 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005

Explanation / Answer

a) Option C is correct.

b) 95% confidence interval:

(35.5, 47.3)

c) Option C is correct.

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