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3. To test Ho: H = 60 versus H1: H

3. To test Ho: = 60 versus HI : g < 60, a random sample of size n = 24 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. 5 Click here to view the t-Distribution Area in Right Tail. (a) If x = 56.7 and s = 12.9, compute the test statistic. ound to three decimal places as needed.) to = (b) If the researcher decides to test this hypothesis at the = 0.05 level of significance, determine the critical value(s). Although technology or a t-distribution table can be used to find the critical value, in this problem use the t-distribution table given. Critical Value: (Round to three decimal places. Use a comma to separate answers as needed.) (c) Draw a t-distribution that depicts the critical region. Choose the correct answer below. oc. -ta/2 (d) Will the researcher reject the null hypothesis? C) A. No, because the test statistic falls in the critical region. C) B. No, because the test statistic does not fall in the critical region. C) C. Yes, because the test statistic falls in the critical region. C) D. Yes, because the test statistic does not fall in the critical region. 5: t-Distribution Area in Right Tail t-Distribution Area in Right Tail 1 2 3 4 s 6 7 8 9 10 11 12 13 14 16 17 18 19 20 21 22 23 24 26 27 29 30 31 32 34 37 38 39 40 so 60 70 80 90 100 1000 0.25 1.000 0816 0.765 0.741 0.727 0.718 0.711 0.706 o. 703 0.700 0.697 0.695 0.694 0.692 0.691 0.689 0.688 0.688 0.687 0.686 0.686 0.685 0.684 0.684 0.684 0.683 0.6*2 0.682 0.682 0.682 0.682 0.681 0.681 0.681 0.681 0.681 0.679 0.679 0.678 0.678 0.677 0.677 0.675 0.674 0.20 1376 1.061 0.978 0.941 0.920 0.906 0.896 0.889 0.883 0.879 0.876 0.873 0.870 0.&68 0.865 0.863 0.862 0.861 0.860 0.859 085* 0858 0S57 0856 0356 osss 0855 0.854 0.854 0.853 0.853 0.853 0.852 0.852 0.852 0.851 0.851 0.851 0851 0.849 0.848 0.847 0.846 0.846 0.845 0.842 0.842 0.15 1.963 1.386 1.250 1.156 1.134 1.119 I.I(B 1.100 1.093 1.088 1.083 1.079 1076 1.074 1.071 1.069 1.067 1.066 1.064 1.063 1.061 1.060 1059 1.05* 1058 1.057 1.056 1.055 1.055 1.054 1.054 1.053 1.052 1.052 1052 1.051 1.051 1.050 1.050 1047 1.045 1.044 1043 1042 1.042 1.037 1.036 0.10 3.078 1.886 1.638 1.533 1476 1.440 1415 1397 1372 1363 1356 1350 1345 1341 1337 1333 1328 1 325 1323 1321 1319 1318 1.316 1.315 1.314 1.313 1311 1310 1309 1.309 130* 1307 1306 1305 1.304 1304 1299 1296 1294 1292 1291 1290 1282 1282 0.05 6314 2.920 2.353 2132 2.015 1.943 1.895 1.833 1.812 1.796 1.782 1.771 1.761 1.753 1.746 1.740 1.734 1.729 1.725 1.721 1.717 1.714 1.711 1.7(X8 1.706 1.703 1.701 1699 1.697 1.696 1.694 1.692 1.691 1.690 1.688 1.686 1.685 1.684 1.676 1.671 1.667 1.664 1.662 1.660 1.646 0.025 12.706 4.303 3.182 2.776 2571 2447 2.365 2.306 2.262 2.228 2.201 2.179 2.160 2.145 2.131 2.120 2.110 2.101 2.093 2.086 2.074 2.(h9 2.064 2.056 2.(LS2 2048 2045 2042 2040 2037 2035 2032 2.030 2.028 2.026 2.024 2.023 2.021 2.009 2.000 1.994 1.990 I .987 1.984 1.962 1.960 0.02 15.894 4.849 3.4S2 2.999 2.757 2.612 2.517 2.449 2.398 2.359 2.328 2.303 2.282 2.264 2.249 2.235 2.224 2214 2.197 2.189 2.183 2.177 2.172 2.167 2.162 2.158 2.154 2.150 2.147 2.144 2.141 2.138 2.136 2.133 2.131 2.129 2.127 2.125 2.123 2.109 2.099 2.093 2.0*4 2.(B1 2.056 2.054 0.01 31.821 6.965 4.541 3.747 3.365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 2.650 2.624 2.602 2.583 2.567 2.552 2539 2528 2518 2-508 2-500 2492 2.485 2.479 2473 2467 2.462 2.457 2.453 2.449 2.445 2.441 2.438 2.434 2.431 2.429 2.426 2.423 2.403 2.390 2381 2374 2.368 2364 2.330 2.326 0.005 63.657 9.925 5.841 4.032 3.707 3.499 3.355 3.250 3.169 3.106 3.055 3.012 2.977 2.947 2.921 2.898 2.878 2.861 2.845 2.831 2.819 2.807 2.797 2.787 2.779 2.771 2.763 2.756 2.750 2.744 2.738 2.733 2.728 2.724 2.719 2.715 2.712 2.708 2.704 2.678 2660 2.648 2.639 2.632 2626 2.581 2.576 0.0025 127.321 14.(kS9 7.453 5.598 4.773 4.317 4.029 3.833 3.690 3.581 3.497 3.428 3.372 3.326 3.286 3.252 3.222 3.197 3.174 3.153 3.135 3.119 3.104 3.091 3.078 3.067 3.057 3.047 3.038 3.030 3.022 3.015 3.otB 3.002 2.996 2.990 2.985 2.980 2.976 2.971 2.937 2.915 2.899 2.887 2878 2871 2813 2.807 0.001 318.309 22.327 10.215 7.173 5.893 5.2(kS 4.501 4.297 4.144 4.025 3.930 3&52 3.787 3.733 3.6M 3.646 3.610 3.579 3.552 3.527 3.5(F 3.485 3467 3450 3.435 3.421 3.408 3.396 3.385 3.375 3.3s 3.356 3.348 3.340 3.333 3.326 3.319 3.313 3.307 3.261 3.232 3.211 3.195 3.183 3.174 3.098 3.090 ta/2 0.0005 636.619 31.599 12.924 8.610 6.869 5.959 5.408 5.041 4.781 4.587 4.437 4318 421 4.140 4.073 4.015 3.965 3.922 3883 3850 3819 3.792 3.768 3.745 3.725 3.707 3690 3.674 3.659 3.646 3.633 3.622 3.611 3.601 3.591 3.582 3.574 3.566 3.558 3.551 3496 3.460 3A35 3+416 3.402 3390 3.3() 3291