Question: TABLE 1 Standard Normal Curve Areas Entries this table provide cumulative probabilities, that is, the area under the curve to the left of For example,

TABLE 1 Standard Normal Curve Areas Entries this

TABLE 1 Standard Normal Curve Areas Entries this table provide cumulative probabilities, that is, the area under the curve to the left of For example, FZS -1.52) = 0.0643 PIZS-7 -Z 0 0.01 z -3.9 -3.8 -3.7 -3.6 -3.5 -3.4 -3.3 -3.2 -3.1 -3.0 0.00 0.02 0.03 0.0000 0.0000 0.0000 0.0000 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0002 0.0002 0.0001 0.0001 0.0002 0.0002 0.0002 0.0002 0.0003 0.0003 0.0005 0.0005 0.0005 0.0004 0.0007 0.0007 0.0006 0.0006 0.0010 0.0009 0.0009 0.0009 0.0013 0.0013 0.0013 0.0012 0.04 0.0000 0.0001 0.0001 0.0001 0.0002 0.0003 0.0004 0.0006 0.0008 0.0012 0.05 0.0000 0.0001 0.0001 0.0001 0.0002 0.0003 0.0004 0.0006 0.0008 0.0011 0.06 0.0000 0.0001 0.0001 0.0001 0.0002 0.0003 0.0004 0.0006 0.0008 0.0011 0.07 0.0000 0.0001 0.0001 0.0001 0.0002 0.0003 0.0004 0.0005 0.0008 0.0011 0.08 0.09 0.0000 0.0000 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0002 0.0002 0.0003 0.0002 0.0004 0.0003 0.0005 0.0005 0.0007 0.0007 0.0010 0.0010 0.0003 0.0003 -2.9 -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -2.2 -2.1 -2.0 0.0019 0.0026 0.0035 0.0047 0.0062 0.0082 0.0107 0.0139 0.0179 0.0228 0.0018 0.0025 0.0034 0.0045 0.0060 0.0080 0.0104 0.0136 0.0174 0.0222 0.0018 0.0024 0.0033 0.0044 0.0059 0.0078 0.0102 0.0132 0.0170 0.0217 0.0017 0.0023 0.0032 0.0043 0.0057 0.0075 0.0099 0.0129 0.0166 0.0212 0.0016 0.0023 0.0031 0.0041 0.0055 0.0073 0.0096 0.0125 0.0162 0.0207 0.0016 0.0022 0.0030 0.0040 0.0054 0.0071 0.0094 0.0122 0.0158 0.0202 0.0015 0.0021 0.0029 0.0039 0.0052 0.0069 0.0091 0.0119 0.0154 0.0197 0.0015 0.0021 0.0028 0.0038 0.0051 0.0068 0.0089 0.01 16 0.0150 0.0192 0.0014 0.0020 0.0027 0.0037 0.0049 0.0066 0.0087 0.0113 0.0146 0.0188 0.0014 0.0019 0.0026 0.0036 0.0048 0.0064 0.0084 0.0110 0.0143 0.0183 -1.9 -1.8 -1.7 -1.6 -1.5 -1.4 -1.3 -1.2 - 1.1 -1.0 0.0287 0.0359 0.0446 0.0548 0.0668 0.0808 0.0968 0.1 151 0.1357 0.1587 0.0281 0.0351 0.0436 0.0537 0.0655 0.0793 0.0951 0.1131 0.1335 0.0274 0.0344 0.0427 0.0526 0.0643 0.0778 0.0934 0.1112 0.1314 0.1539 0.0268 0.0336 0.0418 0.0516 0.0630 0.0764 0.0918 0.1093 0.1292 0.1515 0.0262 0.0329 0.0409 0.0505 0.0618 0.0749 0.0901 0.1075 0.1271 0.1492 0.0256 0.0322 0.0401 0.0495 0.0606 0.0735 0.0885 0.1056 0.1251 0.1469 0.0250 0.0314 0.0392 0.0485 0.0594 0.0721 0.0869 0.1038 0.1230 0.1446 0.0244 0.0307 0.0384 0.0475 0.0582 0.0708 0.0853 0.1020 0.1210 0.1423 0.0239 0.0233 0.0301 0.0294 0.0375 0.0367 0.0465 0.0455 0.0571 0.0559 0.0694 0.0681 0.0838 0.0823 0.1003 0.0985 0.1190 0.1170 0.1401 0.1379 0.1562 0.1814 0.2090 0.2389 0.2709 0.3050 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 -0.0 0.1841 0.2119 0.2420 0.2743 0.3085 0.3446 0.3821 0.4207 0.4602 0.5000 0.3409 0.1788 0.2061 0.2358 0.2676 0.3015 0.3372 0.3745 0.4129 0.4522 0.4920 0.1762 0.2033 0.2327 0.2643 0.2981 0.3336 0.3707 0.4090 0.4483 0.4880 0.1736 0.2005 0.2296 0.2611 0.2946 0.3300 0.3669 0.4052 0.4443 0.4840 0.1711 0.1977 0.2266 0.2578 0.2912 0.3264 0.3632 0.4013 0.4404 0.4801 0.1685 0.1949 0.2236 0.2546 0.2877 0.3228 0.3594 0.3974 0.4364 0.4761 0.1660 0.1922 0.2206 0.2514 0.2843 0.3192 0.3557 0.3936 0.4325 0.4721 0.1635 0.1611 0.1894 0.1867 0.2177 0.2148 0.2483 0.2451 0.2810 0.2776 0.3156 0.3121 0.3520 0.3483 0.3897 0.3859 0.4286 0.4247 0.4681 0.4641 0.3783 0.4168 0.4562 0.4960 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 0.5000 0.5398 0.5793 0.6179 0.6554 0.6915 0.7257 0.7580 0.7881 0.8159 0.8413 0.5040 0.5438 0.5832 0.6217 0.6591 0.6950 0.7291 0.7611 0.7910 0.8186 0.8438 0.5080 0.5478 0.5871 0.6255 0.6628 0.6985 0.7324 0.7642 0.7939 0.8212 0.8461 0.5120 0.5517 0.5910 0.6293 0.6664 0.7019 0.7357 0.7673 0.7967 0.8238 0.8485 0.5160 0.5557 0.5948 0.6331 0.6700 0.7054 0.7389 0.7704 0.7995 0.8264 0.8508 0.5199 0.5596 0.5987 0.6368 0.6736 0.7088 0.7422 0.7734 0.8023 0.8289 0.8531 0.5239 0.5636 0.6026 0.6406 0.6772 0.7123 0.7454 0.7764 0.8051 0.8315 0.8554 0.5279 0.5675 0.6064 0.6443 0.6808 0.7157 0.7486 0.7794 0.8078 0.8340 0.8577 0.5319 0.5359 0.5714 0.5753 0.6103 0.6141 0.6480 0.6517 0.6844 0.6879 0.7190 0.7224 0.7517 0.7549 0.7823 0.7852 0.8106 0.8133 0.8365 0.8389 0.8599 0.8621 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 0.8643 0.8849 0.9032 0.9192 0.9332 0.9452 0.9554 0.9641 0.9713 0.9772 0.8665 0.8869 0.9049 0.9207 0.9345 0.9463 0.9564 0.9649 0.9719 0.9778 0.8686 0.8888 0.9066 0.9222 0.9357 0.9474 0.9573 0.9656 0.9726 0.9783 0.8708 0.8907 0.9082 0.9236 0.9370 0.9484 0.9582 0.9664 0.9732 0.9788 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 0.9821 0.9861 0.9893 0.9918 0.9938 0.9953 0.9965 0.9974 0.9981 0.9987 0.9826 0.9864 0.9896 0.9920 0.9940 0.9955 0.9966 0.9975 0.9982 0.9987 0.9830 0.9868 0.9898 0.9922 0.9941 0.9956 0.9967 0.9976 0.9982 0.9987 0.9834 0.9871 0.9901 0.9925 0.9943 0.9957 0.9968 0.9977 0.9983 0.9988 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 0.9671 0.9678 0.9686 0.9693 0.9699 0.9706 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767 0.9793 0.9798 0.9803 0.9808 0.98120.9817 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 0.9875 0.9878 0.9881 0.9884 0.9887 0.9890 0.9904 0.9906 0.9909 0.9911 0.9913 0.9916 0.9927 0.9929 0.9931 0.9932 0.9934 0.9936 0.9945 0.9946 0.9948 0.9949 0.9951 0.9952 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9998 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 0.9999 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 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 0.9990 0.9993 0.9995 0.9997 0.9998 0.9998 0.9999 0.9999 1.0000 0.9991 0.9993 0.9995 0.9997 0.9998 0.9998 0.9999 0.9999 1.0000 0.9991 0.9994 0.9995 0.9997 0.9998 0.9999 0.9999 0.9999 1.0000 0.9991 0.9994 0.9996 0.9997 0.9998 0.9999 0.9999 0.9999 1.0000 TABLE 2 Student'st Distribution Entries in this table provide the values of way that correspond to a given upper-tail area a and a specified number of degrees of freedom df. For example, for a = 0.05 and df = 10, PT. 2 1.812) = 0.05. Area in U Tall, a 0 to df 1 2 3 4 5 6 7 8 9 10 0.20 1.376 1.061 0.978 0.941 0.920 0.906 0.896 0.889 0.883 0.879 0.10 3.078 1.886 1.638 1.533 1.476 1.440 1.415 1.397 1.383 1.372 0.05 6.314 2.920 2.353 2.132 2015 1.943 1.895 1.860 1.833 1.812 0.025 12.706 4.303 3.182 2.776 2.571 2.447 2.365 2.306 2.262 2.228 0.01 31.821 6.965 4.541 3.747 3.365 3.143 2.998 2.896 2.821 2.764 0.005 63.657 9.925 5.841 4.604 4.032 3.707 3.499 3.355 3.250 3.169 11 12 13 14 15 16 17 18 19 20 0.876 0.873 0.870 0.868 0.866 0.865 0.863 0.862 0.861 0.860 1.363 1.356 1.350 1.345 1.341 1.337 1.333 1.330 1.328 1.325 1.796 1.782 1.771 1.761 1.753 1.746 1.740 1.734 1.729 1.725 2.201 2.179 2.160 2.145 2.131 2.120 2.110 2.101 2.093 2.086 2.718 2.681 2.650 2.624 2.602 2.583 2.567 2.552 2.539 2.528 3.106 3.055 3.012 2.977 2.947 2.921 2.898 2.878 2.861 2.845 21 22 23 24 25 26 27 28 29 30 0.859 0.85 0.858 0.857 0.856 0.856 0.855 0.855 0.854 0.854 1.323 1.321 1.319 1.318 1.316 1.315 1.314 1.313 1.311 1.310 1.721 1.717 1.714 1.711 1.708 1.706 1.703 1.701 1.699 1.697 2.080 2074 2.069 2.064 2.060 2.056 2.052 2.048 2.045 2.042 2.518 2.508 2.500 2.492 2.485 2.479 2.473 2.467 2.462 2.457 2.831 2.819 2.807 2.797 2.787 2.779 2.771 2.763 2.756 2.750 31 32 33 34 35 36 37 38 39 40 0.853 0.853 0.853 0.852 0.852 0.852 0.851 0.851 0.851 0.851 1.309 1.309 1.308 1.307 1.306 1.306 1.305 1.304 1.304 1.303 1.696 1.694 1.692 1.691 1.690 1.688 1.687 1.686 1.685 1.684 2.040 2.037 2.035 2.032 2.030 2.028 2.026 2.024 2.023 2.021 2.453 2.449 2.445 2.441 2.438 2.434 2.431 2.429 2.426 2.423 2.744 2.738 2.733 2.728 2.724 2.719 2.715 2.712 2.708 2.704 41 42 43 44 45 46 47 48 49 50 0.850 0.850 0.850 0.850 0.850 0.850 0.849 0.849 0.849 0.849 1.303 1.302 1.302 1.301 1.301 1.300 1.300 1.299 1.299 1.299 1.683 1.682 1.681 1.680 1.679 1.679 1.678 1.677 1.677 1.676 2.020 2.018 2.017 2.015 2.014 2.013 2012 2.011 2.010 2.009 2.421 2.418 2.416 2.414 2.412 2.410 2.408 2.407 2.405 2.403 2.701 2.698 2.695 2.692 2.690 2.687 2.685 2.682 2.680 2.678 51 52 53 54 55 56 57 58 59 60 0.849 0.8.49 0.848 0.848 0.848 0.848 0.848 0.848 0.848 0.848 1.298 1.298 1.298 1.297 1.297 1.297 1.297 1.296 1.296 1.296 1.675 1.675 1.674 1.674 1.673 1.673 1.672 1.672 1.671 1.671 2.008 2.007 2.006 2.005 2.004 2.003 2.002 2.002 2.001 2.000 2.402 2.400 2.399 2.397 2.396 2.395 2.394 2.392 2.391 2.390 2.676 2.674 2.672 2.670 2.668 2.667 2.665 2.663 2.662 2.660 80 100 150 200 0.846 0.845 0.844 0.843 0.842 0.842 0.842 1.292 1.290 1.287 1.286 1.283 1.282 1.282 1.664 1.660 1.655 1.653 1.648 1.646 1.645 1.990 1.984 1.976 1.972 1.965 1.962 1.960 2.374 2.364 2.351 2.345 2.334 2.330 2.326 2.639 2.626 2.609 2.601 2.586 2.581 2.576 500 1000 OD (Round all intermediate calculations to at least 4 decimal places.) An entrepreneur owns some land that he wishes to develop. He identifies two development options: build condominiums or build apartment buildings. Accordingly, he reviews public records and derives the following summary measures concerning annual profitability based on a random sample of 31 for each such local business ventures. For the analysis, he uses a historical (population) standard deviation of $22,300 for condominiums and $20,000 for apartment buildings. (You may find it useful to reference the appropriate table: z table or t table) Sample 1 represents condominiums and Sample 2 represents apartment buildings. Condominiums XL - $243, 900 Apartment Buildings 12 = $236,700 ni = 31 n2 = 31 a. Set up the hypotheses to test whether the mean profitability differs between condominiums and apartment buildings. Ho: 41 42 = 0; HA: 41 - 4200 Ho: M1 - H2 2 0; HA: 41 - 420 Ho: 41 - 42 s 0; HA: 41 - U2 > 0 b. Calculate the value of the test statistic. (Round your answer to 2 decimal places.) Test statistic c. Find the p-value. p-value - 0.10 O 0.05 s p-value

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