t-Distribution, Area in Right Tail A B C D E F G H J K L M N O P Distribution, Area in Right Tail 0.25 0.2 0.15 0.1 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 | df 1 1 1.376 1.963 3.078 6.314 12.706 15.894 31.821 63.657 127.321 318.309 636.619 2 0.816 1.061 1.386 1.886 2.92 4.303 4.849 6.965 9.925 14.089 22.327 31.599 3 0.765 0.978 1.25 1.638 2.353 3.182 3.482 4.541 5.841 7.453 10.215 12.924 4 0.741 0.941 1.19 1.533 2.132 2.776 2.999 3.747 4.604 5.598 7.173 8.61 5 0.727 0.92 1.156 1.476 2.015 2.571 2.757 3.365 4.032 4.773 5.893 5.869 61 0.718 0.906 1.134 1.44 1.943 2.447 2.612 3.143 3.707 4.317 5.208 5.959 0.711 0.896 1.119 1.415 1.895 2.365 2.517 2.998 3.499 4.029 4.785 5.408 8 0.706 0.889 1.108 1.397 1.86 2.306 2.449 2.896 3.355 833 4.501 5.041 0.703 0.883 1.1 1.383 1.833 2.262 2.398 2.821 3.25 3.69 4.297 4.781 10 0.7 0.879 1.093 1.372 1.812 2.228 2.359 2.764 3.169 3.581 4.144 4.587 10 11 0.697 0.876 1.088 1.363 1.796 2.201 2.328 2.718 3.106 3.497 4.025 4.437 11 12 0.695 0.873 1.083 1.356 1.782 2.179 2.303 2.681 3.055 3.428 3.93 4.318 12 13 0.694 0.87 1.079 1.35 1.771 2.16 2.282 2.65 3.012 3.372 3.852 4.221 13 14 0.692 0.868 1.076 1.345 1.761 2.145 2.264 2.624 2.977 3.326 3.787 4.14 14 15 0.691 0.866 1.074 1.341 1.753 2.131 2.249 2.602 2.947 3.286 3.733 4.073 15 16 0.69 0.865 1.071 1.337 1.746 2.12 2.235 2.583 2.921 3.252 3.68 4.015 16 17 0.689 0.863 1.069 1.333 1.74 2.11 2.224 2.567 2.898 3.222 3.646 3.965 17 18 0.688 0.862 1.067 1.33 1.734 2.101 2.214 2.552 2.878 3.197 3.6: 3.922 18 19 0.688 0.861 1.066 1.328 1.729 2.093 2.205 2.539 2.861 3.174 3.579 3.883 19 20 0.687 0.86 1.064 1.325 1.725 2.086 2.197 2.528 2.845 3.153 3.552 3.85 20 21 0.686 0.859 1.063 1.323 1.721 2.08 2.189 2.518 2.831 3.135 3.527 3.819 21 22 0.686 0.85 1.061 1.321 1.717 2.074 2.183 2.508 2.819 3.119 3.505 3.792 22 23 0.685 0.858 1.06 1.319 1.714 2.069 2.177 2.5 2.807 3.104 3.485 3.768 23 24 0.685 0.85 1.059 1.318 1.711 2.064 2.172 2.492 2.797 3.091 3.467 3.745 24 25 0.684 0.856 1.058 1.316 1.708 2.06 2.167 2.485 2.787 3.078 3.4 3.725 25 26 0.684 0.856 1.058 1.315 1.706 2.056 2.162 2.479 2.779 3.067 3.435 3.707 26 27 0.684 0.855 1.057 1.314 1.703 2.052 2.158 2.473 2.771 3.057 3.421 3.69 27 28 0.683 0.85 1.056 1.313 1.701 2.048 2.154 2.467 2.763 3.047 3.408 3.674 28 29 0.683 0.854 1.055 1.311 1.699 2.045 2.15 2.462 2.756 3.038 3.396 3.659 29 30 0.683 0.854 1.055 1.31 1.697 2.042 2.147 2.457 2.75 3.03 3.385 3.646 30 31 0.682 0.853 1.054 1.309 1.696 2.04 2.144 2.453 2.744 3.022 3.375 3.633 3132 30 0.683 0.854 1.055 1.31 1.697 2.042 2.147 2.457 2.75 3.03 3.385 3.646 30 33 31 0.682 0.853 1.054 1.309 1.696 2.04 2.144 2.453 2.744 3.022 3.375 3.633 31 34 32 0.682 0.853 1.054 1.309 1.694 2.037 2.141 2.449 2.738 3.015 3.365 3.622 32 35 33 0.682 0.853 1.053 1.308 1.692 2.035 2.138 2.445 2.733 3.008 3.356 3.611 33 36 34 0.682 0.852 1.052 1.307 1.691 2.032 2.136 2.441 2.728 3.002 3.348 3.601 34 37 35 0.682 0.852 1.052 1.306 1.69 2.03 2.133 2.438 2.724 2.996 3.34 3.591 35 38 36 0.681 0.852 1.052 1.306 1.688 2.028 2.131 2.434 2.719 2.99 3.333 3.582 36 39 37 0.681 0.851 1.051 1.305 1.687 2.026 2.129 2.431 2.715 2.985 3.326 3.574 37 40 38 0.681 0.851 1.051 1.304 1.686 2.024 2.127 2.429 2.712 2.98 3.319 3.566 38 41 39 0.681 0.851 1.05 1.304 1.685 2.023 2.125 2.426 2.708 2.976 3.313 3.558 39 42 40 0.681 0.851 1.05 1.303 1.684 2.021 2.123 2.423 2.704 2.971 3.307 3.551 40 50 0.679 0.849 1.047 1.299 1.676 2.009 2.109 2.403 2.678 2.937 3.261 3.496 50 44 60 0.679 0.848 1.045 1.296 1.671 2 2.099 2.39 2.66 2.915 3.232 3.46 60 45 70 0.678 0.847 1.044 1.294 1.667 1.994 2.093 2.381 2.648 2.899 3.211 3.435 70 46 80 0.678 0.846 1.043 1.292 1.664 1.99 2.088 2.374 2.639 2.887 3.195 3.416 80 47 90 0.677 0.846 1.042 1.291 1.662 1.987 2.084 2.368 2.632 2.878 3.183 3.402 90 48 100 0.677 0.845 1.042 1.29 1.66 1.984 2.081 2.364 2.626 2.871 3.174 3.39 100 49 1000 0.675 0.842 1.037 1.282 1.646 1.962 2.056 2.33 2.581 2.813 3.098 3.3 1000 50 Z 0.674 0.842 1.036 1.282 1.645 1.96 2.054 2.326 2.576 2.807 3.09 3.291 Z 51 df 0.25 0.2 0.15 0.1 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005 df 52 53To test H0: p: 103 versus H1: p 103 a simple random sample of size n = 35 is obtained. Complete parts a through e below. (a) Does the population have to be normally distributed to test this hypothesis? Why? :1: .3 A. No, because n 2 30. Ii: ,3 B. No, because the test is twotailed. I1. 3 C. Yes, because r1230. :1, .i D. Yes, because the sample is random. (b) If )_( : 99.9 and s = 5.7, compute the test statistic. The test statistic is tU : . (Round to two decimal places as needed.) (c) Draw a t-distribution with the area that represents the P-value shaded. Choose the correct graph below. O A . O B. O c. (d) Approximate the P-value. Choose the correct answer below. O A. 0.01