TABLE 1 Standard Normal Curve Areas Entries in this table provide cumulative probabilities, that is, the area under the curve to the left of - For example, PIZ-1.52)=0.0643 PIZS- -2.9 0.0019 0.0018 0.0018 -2.8 0.0026 0.0025 0.0024 -2.7 0.0035 0.0034 0.0033 -2.6 0.0047 0.0045 0.0044 -2.5 0.0062 0.0060 0.0059 -2.4 0.0082 0.0080 0.0078 -2.3 0.0107 0.0104 0.0102 0.0099 -2.2 0.0139 0.0136 0.0132 0.0129 -2.1 0.0179 0.0174 0.0170 0.0166 -2.0 0.0228 0.0222 0.0217 0.0212 0 0.00 0.01 0.02 0.07 0.08 -3.9 0.0000 0.0000 0.0000 0.0000 0.0000 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.03 0.04 0.05 0.06 0.0000 0.0000 0.0000 0.0000 -3.8 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 -3.7 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 -3.6 0.0002 0.0002 0.0001 0.0001 0.0001 -3.5 0.0002 0.0002 0.0002 0.0002 0.0002 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 -3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0002 0.0002 0.0001 0.0001 0.0002 0.0002 0.0003 0.0003 0.0004 0.0004 0.0003 0.0003 0.0004 0.0004 0.0005 0.0005 0.0006 0.0006 0.0008 0.0008 0.0008 0.0007 0.0011 0.0011 0.0011 0.0010 0.09 0.0000 0.0001 0.0001 0.0001 0.0002 0.0002 0.0003 0.0005 0.0007 0.0010 0.0019 0.0026 0.0036 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0057 0.0055 0.0054 0.0052 0.0075 0.0073 0.0071 0.0069 0.0096 0.0094 0.0091 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 0.0154 0.0150 0.0146 0.0143 0.0048 0.0051 0.0049 0.0068 0.0066 0.0089 0.0087 0.0064 0.0084 0.0162 0.0158 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183 0.0294 0.0367 -1.7 0.0446 -1.6 0.0548 0.0455 -1.5 -1.9 0.0287 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0239 0.0233 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0436 0.0427 0.0418 0.0409 0.0401 0,0392 0.0384 0.0375 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.0668 -1.4 0.0808 0.0793 0.0778 -1.3 0.0968 0.0951 0.0934 -1.2 0.1151 0.1131 0.1112 -1.1 0.1357 0.1335 0.1314 -1.0 0.1587 0.1562 0.1539 0.0559 0.0681 0.0823 0.0985 0.1170 0.1379 0.1611 0.1711 0.1685 0.1660 0.1635 0.1977 0.1949 0.1922 0.2206 0.1894 0.1867 0.2177 -0.9 0.1841 0.1814 0.1788 0.1762 0.1736 -0.8 0.2119 0.2090 0.2061 0.2033 0.2005 -0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2148 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483 0.2451 -0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 -0.4 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 -0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483 -0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859 -0.1 0.4602 0.4562 04522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 04247 -00 05000 04960 04920 04880 04840 04801 04761 04721 04625 04641
-0.6 0.2709 0.2676 0.2743 -0.5 0.3085 0.3050 0.3015 0.3446 0.3409 0.3372 -0.4 -0.3 0.3821 0.3783 0.4168 0.3745 0.3707 0.3669 -0.2 0.4207 0.4129 0.4090 0.4052 -0.1 0.4602 0.4562 0.4443 0.4522 0.4483 -0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.0 0.1 0.2 0.5793 0.3 0.6179 0.4 0.6554 0.6915 0.7257 0.7580 0.5 0.6 0.7 1.1 1.2 0.8849 1.3 0.9032 0.9192 1.5 0.9332 1.6 0.9452 1.7 0.9554 0.9641 1.9 0.9713 2.0 0.9772 in ini ia 0.8 0.7881 0.7910 0.9 0.8159 0.8186 1.0 0.8413 0.8438 1.4 111 739 1.8 222 21 0.9821 2.2 0.9861 234 2.3 0.9893 2.4 0.9918 2.5 0.9938 2.6 0.9953 2.7 0.9965 222 0.5000 0.5040 0.5398 0.5438 67890 22 2.8 0.9974 2.9 0.9981 3.0 0.9987 456799 3.1 0.9990 3.2 0.9993 3.3 0.9995 3.4 0.9997 www 0.8643 0.8665 0.8686 0.8708 0.8729 0,8869 0.8888 0,8907 0.8925 0.9049 0.9066 0.9082 0.9099 0.9207 0.9222 0.9345 0.9357 0.9463 3.5 0.9998 23 3.6 0.9998 3.7 0.9999 3.8 0.9999 0.5478 0.5832 0.5871 0.6217 0.6255 0.6591 0.6628 0.6985 0.7324 0.7642 0.7939 0.8212 0.8461 0.6950 0.7291 0.7611 3.9 1.0000 0.9564 0.9649 0.9719 0.9778 0.2611 0.2643 0.2981 0.2946 0.3336 0.3300 0.5080 0.5120 0.9826 0.9864 0.9896 0.9920 0.5517 0.5910 0.5948 0.6293 0.6331 0.6664 0.6700 0.7019 0.7357 0.7673 0.7967 0.8238 0.8485 0.9474 0.9484 0.9573 0.9940 0.9941 0.9955 0.9956 0.9966 0.9967 0.9975 0.9982 0.9987 0.9236 0.9251 0.9370 0.9382 0.9495 0.9582 0.9656 0.9664 0.9726 0.9732 0.9783 0.9788 0.2578 0.2546 0.2912 0.2877 0.5160 0.5199 0.5596 0.5557 0.5987 0.6368 0.6736 0.7054 0.7088 0.7389 0.7422 0.7704 0.7734 0.7995 0.8023 0.8264 0.8289 0.8508 0.8531 0.3264 0.3632 0.3594 0.3557 0.4013 0.4404 0.4801 0.4761 0.9591 0.9599 0.9671 0.9678 0.9738 0.9744 0.9793 0.9798 0.9830 0.9834 0.9838 0.9842 0.9868 0.9871 0.9875 0.9878 0.9898 0.9901 0.9904 0.9906 0.9925 0.9927 0.9929 0.9922 0.9943 0.9945 0.9957 0.9959 0.9969 0.9968 0.9976 0.9977 0.9977 0.9978 0.9982 0.9983 0.9987 0.9988 0.9984 0.9984 0.9988 0.9989 0.2514 0.2843 0.3228 0.3192 0.3156 0.8749 0.8770 0.8942 0.8962 0.9115 0.9131 0.9265 0.9279 0.9394 0.9406 0.9505 0.3974 0.4364 0.4325 0.4721 0.5239 0.5279 0.5319 0.5636 0.5675 0.5714 0.6026 0.6064 0.6103 0.6406 0.6443 0.6480 0.6772 0.6808 0.6844 0.7123 0.7157 0.7454 0.7486 0.7764 0.7794 0.8051 0.8078 0.8315 0.8340 0.8554 0.8577 0.9846 0.9881 0.2483 0.2810 0.3520 0.3936 0.3897 U.2451 0.2776 0.3121 0,3483 0.3859 0.4286 0.4247 0.4681 0.4641 0.9515 0.9525 0.9608 0.9616 0.9686 0.9693 0.9750 0.9756 0.9803 0.9808 0.9884 0.9909 0.9911 0.9931 0.9932 0.7190 0.7517 0.7823 0.8790 0.8810 0.8980 0.8997 0.9147 0.9162 0.9292 0.9306 0.9418 0.9429 0.9535 0.8106 0.8365 0.8599 0.5359 0.5753 0.6141 0.6517 0.6879 0.7224 0.7549 0.7852 0.8133 0.9946 0.9948 0.9960 0.9961 0.9962 0.9963 0.9970 0.9971 0.9972 0.9973 0.8389 0.8621 0.8830 0.9015 0.9177 0.9319 0.9441 0.9545 0.9625 0.9633 0.9699 0.9706 0.9761 0.9767 0.9812 0.9817 0.9850 0.9854 0.9887 0.9913 0.9934 0.9936 0.9949 0.9951 0.9952 0.9964 0.9974 0.9979 0.9979 0.9980 0.9981 0.9985 0.9985 0.9986 0.9986 0.9989 0.9989 0.9990 0.9990 0.9857 0.9890 0.9916 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 0.9998 0.9998 0.9998 0.9998 0.9999 0.9999 0.9999 0.9997 0.9998 0.9998 0.9998 0.9998 0.9998 0.9999 0.9997 0.9998 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 1.0000 1.0000 1.0000 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
df 1 U là h?t t 10 12020629? 588X????????????????5093986888663385 13 21 22 27 29 51 52 54 0.20 1.376 1.061 0978 0941 0.920 0.906 0.896 0.889 0.883 0.879 0.876 0.873 0.870 0.868 0.866 0.865 0.863 0.862 0.861 0.860 0.859 0.858 0.858 0857 0.856 0.856 0.855 0.855 0.854 0854 0.853 0853 0.853 0.852 0.852 0.852. 0.851 0.851 0.851 0851 0.850 0.850 0850 0.850 050 0.850 0.849 | 0849 0.849 0849 0849 0848 0848 108 ARM 0.10 3078 1.886 1.538 1.533 1,476 1.440 1.415 1.397 1.383 1372 1.363 1.356 1.350 1.345 1.341 1.337 1.333 1.330 1.328 1.325 1.323 1.321 1.319 1318 1.316 1315 1.314 1.313 1.311 1.310 1.309 1.309 1,308 1.307 1.306 1.306 1.305 1.304 1.304 1.303 1.303 1.302 1,302 1.301 1:301 1.300 1.300 1.299 1.299 1.299 1,298 1,290 1,290 1.297 1.297 0.05 6314 2.920 2.353 2.132 2015 1.943 1.895 1860 1.833 1812 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 1.708 1.706 1.703 1.701 1.699 1.697 1.696 1.694 1.692 1,691 1.690 1.588 1.687 1.686 1.685 1.684 1.683 1.682 1.681 1.680 1.679 1.679 1.678 1.677 1677 1.676 1.675 1.675 1.674 1.674 1.673 . 0,025 12.706 4.303 3.182 2.776 2.571 2.447 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 2.000 2074 2.069 2.064 2.060 2.056 2.052 2.048 2.045 2042 2.040 2.037 2.03 2.032 2.030 2.028 2.026 2.024 2.023 2021 2.020 2018 2017 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 0.01 31.821 6.965 4541 3.747 3365 3.143 2.998 2.896 2.821 2.764 2.718 2.681 2.650 2.624 2.602 2.583 2567 2.552 2.539 2.528 2518 2.508 2.500 2.492 2.485 2.479 2473 2.467 2.462 2457 2453 2449 2445 2.441 2438 2.434 2.431 2.429 2426 2.423 2421 2418 2416 2414 2,412 2410 2.408 2407 2.405 2.403 2,402 2.400 2.399 2397 2396 of 0.005 63.657 9.925 5841 4.604 4032 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 2845 2.831 2819 2.907 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 2712 2.708 2.704 2.701 2.698 2695 2.692 2.690 2.587 2685 2682 2.680 2678 2676 2674 2.672 2.670 2668
12 VDHLLD??0 IZZALL7??0 F2DH5????50QD46EDU 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 41 43 44 47 48 49 50 51 H????????3 52 53 54 55 56 57 58 59 BO 100 150 200 500 1000 0.873 0.70 0866 0.866 0865) 0.863 0862 0961 0860 0.859 0858 0.858 0857 0856 0.856 0855 0.855 | 0.854 0854 0.853 0.853 0.853 0.852 0.852 0.852 0851 0.851 0951 0.851 0.850 0.850 0.850 0.850 0.850 0.850 0.849 0.849 0.849 0849. 0.849 0.849 0848 0848 0848 0.848 0.848 0848 0.848 0848 10.846 0.845 0844 0.843 0842 0642 0842) 1.356 1.350 1.345 1.341 1.337 1333 1.330 1.328 1.325 1.323 1321 1.319 1.318 1,316 1,315 1.314 1313 1.311 1.310 1.309 1.309 1.308 1.307 1.306 1.306 1.305 1.304 1.304 1.303 1.303 1.302 1.302 1.301 1.301 1.300 1.300 1.299 1.299 1299 1.298 1.290 1,290 1.297 1.297 1.297 1.297 1.296 1.296 1.296 1292 1.200 1,287 1206 1.283 1202 1282 1782 1.771 1.761 1.753 1.746 1.740 1734 1729 1.725 1721 1.717 1.714 1.711 1.708 1.706 1.703 1.701 1.699 1.697 1.696 1.694 1.692 1.691 1,690 1.688 1.687 1.686 1.685 1.684 1.683 1.682 1.681 1.680 1.679 1.679 1.678 1.677 1.677 1.676 1.675 1.675 1.674 1.674 1.673 1.673 1.672 1.672 1.671 1.671 1.664 1.660 1,655 1.653 1.648 1.646 1.645 . 2.179 2.160 2.145 2131 2.120 2.110 2.101 2.093 2.086 2.080 2074 2.069 2,064 2.060 2.056 2.052 2048 2.045 2.042 2040 2.037 2.035 2.032 2.030 2.028 2.026 2.024 2023 2021 2.020 2018 2017 2015 2014 2013 2012 2011 2010 2009 2.008 2007 2006 2.005 2.004 2.003 2.002 2.002 2001 2.000 1.990 1.964 1.975 1972 1.965 1962 1960 2681 2.650 2624 2.602 2.583 2.567 2.552 2.539 2.528 2518 2.508 2500 2.492 2.485 2479 2473 2.467 2.462 2.457 2453 2.449 2445 2441 2.438 2434 2431 2429 2426 2423 2,421 2418 2416 2414 2412 2410 2.408 2,407 2.405 2403 2.402 2.400 2.399 2.397 2.396 2.395 2.394 2.392 2.391 2:390 2374 164 2351 2.345 2334 2.330 2.326 3055 3012 2.977 2.947 2.921 2.898 2.878 2.861 2.845 2.831 2819 2.807 2.797 2.787 2.779 2771 2.763 Q2.756 2.750 2.744 2.738 2.733 2.728 2.724 2.719 2715 2.712 2.708 2.704 2.701 2.698 2.695 2.692 2.690 2.687 2.685 2682 2.680 2.678 2.676 2674 2.672 2.670 2.668 2.667 2665 2663 2662 2660 2.539 2.626 2509 2601 256 51 2576
Consider the following hypotheses: He p2 0.59 HA P 0.59 Which of the following sample information enables us to reject the null hypothesis at a = 0.01 and at a = 0.10? (You may find it useful to reference the appropriate table: Ztable or table) (Round all intermediate calculations to at least 4 decimal places.) e or Llable) (Round all inter a = 0.01 a=0.1 ax=51, n 100 bx=138, n=276 C? 2051n-53 dp=0.54, n=425