8 - CDF...

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CDF for N ( 0 , 1 ) -1.644854 0.05 -1.281552 0.1 -1.036433 0.15 -0.841621 0.2 Same mean, Smaller Spread -0.67449 0.25 -0.524401 0.3 -0.38532 0.35 -0.253347 0.4 -0.125661 0.45 0 0.5 0.125661 0.55 0.253347 0.6 0.38532 0.65 0.524401 0.7 0.67449 0.75 0.841621 0.8 1.036433 0.85 1.281552 0.9 1.644854 0.95 CDF for N ( 0 , 2 ) Same Mean , Larger Spread -3.289707 0.05 -2.563103 0.1 -2.072867 0.15 -1.683242 0.2 -1.34898 0.25 -1.048801 0.3 -0.770641 0.35 -0.506694 0.4 -0.251323 0.45 0 0.5 0.251323 0.55 0.506694 0.6 0.770641 0.65 1.048801 0.7 1.34898 0.75 1.683242 0.8 2.072867 0.85 2.563103 0.9 3.289707 0.95 -2 -1.5 -1 -0.5 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 -4 -3 -2 -1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
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0 0.5 1 1.5 2 Col- umn C 0 1 2 3 4 Col- umn C
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CDF Two samples drawn from the distribution N( 55 Sample1 Sample2 Sample Statistics Sample1 60.97715 0.617476 16.51833 7.209567 mean = 54.4575 70.91443 0.786903 16.72455 8.101969 median = 54.3436 47.88568 0.361027 17.94617 17.81085 mode = #VALUE! 73.34993 0.820559 18.84093 18.17951 st.dev. = 18.6897 26.26028 0.075361 19.59101 19.44053 69.76227 0.769777 26.16867 20.57956 44.66759 0.30271 26.18024 20.81634 52.61804 0.452599 26.80899 21.20528 70.09551 0.774808 26.81634 22.69264 53.58183 0.471735 30.93011 25.32619 64.65787 0.685414 31.75521 28.89834 38.50552 0.204764 31.97454 29.27883 43.99214 0.291025 32.24197 31.36791 55.61087 0.512183 33.46831 31.66119 63.69989 0.668217 33.57195 32.39353 28.80455 0.095136 34.27744 32.72471 58.96675 0.57861 35.72688 32.94791 86.80125 0.94409 36.23445 33.90445 74.89833 0.840112 37.33466 34.84194 55.10589 0.502112 37.49908 34.84827 70.57464 0.781931 39.38538 35.0102 50.45834 0.41018 39.62088 35.15333 45.21417 0.312318 39.6992 37.02675 48.0878 0.364818 39.83987 37.23654 77.61456 0.870915 41.18873 37.60132 57.51443 0.550024 41.27849 38.61594 21.37401 0.046352 42.32459 39.12766 61.57318 0.628793 44.10185 39.2296 23.00584 0.054832 44.31024 39.66184 54.07165 0.481489 44.42437 39.92657 16.39795 0.026797 44.77249 39.96739 66.20613 0.712365 45.78052 39.9937 82.66789 0.916728 45.84384 40.55643 47.04753 0.345454 45.91034 40.68361 46.90844 0.342894 46.98834 42.15499 67.5333 0.734561 47.06826 42.38595 65.61641 0.702228 47.87887 42.39702 58.56832 0.570802 47.90323 42.9443 45.66129 0.320273 48.71513 43.48049 74.98751 0.841194 49.90011 44.10246 48.99093 0.381916 49.93873 44.72816 47.01154 0.344791 50.77461 44.72914
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44.09397 0.292773 51.34829 44.73433 66.42524 0.716089 51.72559 44.85473 55.5389 0.510748 52.0537 45.47358 63.04016 0.656161 52.35702 45.65199 59.16498 0.582483 52.57958 45.90046 66.69577 0.720655 53.3097 46.02173 36.74086 0.180633 53.43954 47.42846 39.92452 0.225492 54.33217 48.35428 69.49615 0.765715 54.35498 48.86787 55.64375 0.512839 54.7219 49.14283 49.54356 0.392495 54.74252 49.14664 52.11814 0.442713 55.69582 49.64558 29.80447 0.103875 56.11604 49.98402 75.77207 0.850505 56.43937 50.56687 46.97893 0.34419 56.89736 51.21704 42.86274 0.271971 57.52625 51.62529 58.91061 0.577511 58.04777 52.79479 47.76747 0.358816 58.54117 53.01773 28.7559 0.094726 58.9312 53.91453 35.5169 0.16499 59.18342 54.28755 -12.37662 0.000377 59.66313 54.31155 73.8892 0.827533 60.53751 58.14657 35.73065 0.167656 61.67581 58.44654 38.51806 0.204942 61.83362 61.05336 22.46593 0.0519 62.00637 61.54559 74.8297 0.839276 62.36884 62.63203 31.06933 0.115744 62.73011 62.80415 44.97845 0.308158 62.78332 63.3373 54.32181 0.486475 63.12989 63.60648 38.35216 0.202594 64.32144 63.63534 67.72438 0.737683 64.51376 64.56968 32.00319 0.125105 64.69801 65.7663 38.20572 0.200534 66.31296 66.32956 60.31178 0.604722 66.46958 67.08135 49.57162 0.393034 67.29535 67.33118 75.94295 0.852484 67.63398 67.40507 38.97622 0.211511 68.55331 67.50757 13.85242 0.019825 69.85768 68.75122 67.37475 0.731955 71.06774 70.05431 51.70561 0.434582 71.80156 71.12775 78.44623 0.879464 72.03651 73.06689 36.69059 0.179972 73.18526 73.85784 46.86712 0.342135 74.10014 74.20339 45.22301 0.312474 74.17351 75.7053 71.56279 0.796204 74.62472 76.21663
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36.90567 0.182808 76.25477 78.70113 40.47878 0.233901 78.34884 79.3757 54.73339 0.494682 79.89283 80.04143 34.02965 0.1472 80.65928 80.39455 63.53889 0.66529 83.93149 82.3424 28.33711 0.091242 83.97759 83.07016 52.76018 0.455415 84.22501 83.09995 54.87556 0.497518 84.33777 83.51959 54.01743 0.480408 87.99603 83.58215 55.01848 0.500369 92.04056 83.75487 35.61843 0.166253 95.13739 89.32052 70.70766 0.783885 95.17397 92.4106 51.05679 0.421851 95.79414 96.02674 86.80125 -12.37662
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, 20 ) Sample2 Bins to create the Histogram 51.277 5 48.611 10 ### 15 19.839 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 105
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Curve 1 From N( 54.4574505 , 18.6896694 ) to N ( 70 Curve 2 From N( 54.4574505 , 18.6896694 ) to N ( 70 Curve 3 From N( 54.4574505 , 18.6896694 ) to N ( 70 Curve 4 Uses Percentiles sample 1 curve 1 curve 2 curve 3 Prob. grade percentiles Normal Percentile 16.51833 32.06088 49.70048 9.101453431 0.01 16.7224902109 46.73652 16.72455 32.2671 49.81083 9.432478987 0.02 17.9217367838 49.46251 17.94617 33.48872 50.46446 11.39337508 0.03 18.8140840966 51.19206 18.84093 34.38348 50.9432 12.82960869 0.04 19.5610075684 52.49314 19.59101 35.13356 51.34454 14.03361732 0.05 25.8397824381 53.55146 26.16867 41.71121 54.86395 24.59183656 0.06 26.179543455 54.45226 26.18024 41.72279 54.87014 24.61041259 0.07 26.7649727993 55.24209 26.80899 42.35153 55.20655 25.61965564 0.08 26.8157502572 55.94928 26.81634 42.35889 55.21049 25.63145909 0.09 30.5598741462 56.59245 30.93011 46.47266 57.41158 32.2347467 0.1 31.672698428 57.18448 31.75521 47.29776 57.85305 33.55915839 0.11 31.9504122341 57.73472 31.97454 47.51709 57.97041 33.91122049 0.12 32.2098825879 58.25013 32.24197 47.78452 58.1135 34.34049987 0.13 33.3088882202 58.73609 33.46831 49.01086 58.76966 36.30897305 0.14 33.5574419214 59.19681 33.57195 49.1145 58.82511 36.47533136 0.15 34.1716209041 59.63567 34.27744 49.81999 59.20259 37.6077647 0.16 35.4949672411 60.05542 35.72688 51.26943 59.97811 39.93434089 0.17 36.148164196 60.45835 36.23445 51.777 60.24969 40.74908378 0.18 37.136623251 60.84635 37.33466 52.87721 60.83837 42.51510015 0.19 37.4678418435 61.22104 37.49908 53.04163 60.92634 42.77902297 0.2 39.0081207479 61.58379 39.38538 54.92793 61.93561 45.80684322 0.21 39.5714231387 61.93579 39.62088 55.16343 62.06162 46.18485479 0.22 39.6819654197 62.27807 39.6992 55.24174 62.10352 46.3105678 0.23 39.8075111553 62.61153 39.83987 55.38241 62.17879 46.53636616 0.24 40.8649993563 62.93697 41.18873 56.73128 62.9005 48.70150991 0.25 41.256048056 63.2551 41.27849 56.82104 62.94853 48.84559407 0.26 42.0526008546 63.56655 42.32459 57.86714 63.50825 50.52475286 0.27 43.6219890884 63.87187 44.10185 59.6444 64.45918 53.37755494 0.28 44.2518927133 64.17158 44.31024 59.85279 64.57069 53.71205853 0.29 44.3912713434 64.46615 44.42437 59.96692 64.63175 53.89524821 0.3 44.6680542314 64.75599 44.77249 60.31504 64.81801 54.45404414 0.31 45.4680308212 65.0415 45.78052 61.32307 65.35737 56.0720956 0.32 45.8235749678 65.32301 45.84384 61.38639 65.39124 56.17372944 0.33 45.8883920012 65.60087 45.91034 61.45289 65.42682 56.2804745 0.34 46.6218212273 65.87537 46.98834 62.53089 66.00362 58.01085167 0.35 47.0402913718 66.1468 47.06826 62.61081 66.04638 58.13913678 0.36 47.5870543164 66.41541 47.87887 63.42142 66.4801 59.44030063 0.37 47.8942209188 66.68147 47.90323 63.44578 66.49313 59.47940229 0.38 48.4066087427 66.94519 48.71513 64.25768 66.92754 60.78262697 0.39 49.4379649022 67.20681 49.90011 65.44266 67.56157 62.684711 0.4 49.9232791593 67.46653 49.93873 65.48128 67.58224 62.74670534 0.41 50.431898346 67.72455 50.77461 66.31716 68.02948 64.08843398 0.42 51.1073433717 67.98107
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51.34829 66.89084 68.33643 65.00928202 0.43 51.5633475714 68.23626 51.72559 67.26813 68.5383 65.6149061 0.44 51.9093319547 68.49031 52.0537 67.59625 68.71386 66.14159112 0.45 52.2205306105 68.74339 52.35702 67.89957 68.87616 66.62847063 0.46 52.477206142 68.99566 52.57958 68.12213 68.99524 66.98571277 0.47 52.9665429596 69.2473 53.3097 68.85225 69.38589 68.15766535 0.48 53.3772142499 69.49846 53.43954 68.98209 69.45536 68.36608343 0.49 53.894780015 69.74931 54.33217 69.87472 69.93297 69.79890243 0.5 54.3435748457 70 54.35498 69.89753 69.94517 69.83551917 0.51 54.5347735833 70.25069 54.7219 70.26445 70.1415 70.42449288 0.52 54.7318001098 70.50154 54.74252 70.28507 70.15253 70.45758342 0.53 55.1905687694 70.7527 55.69582 71.23836 70.66259 71.98777967 0.54 55.8891186705 71.00434 56.11604 71.65859 70.88744 72.6623095 0.55 56.2615387861 71.25661 56.43937 71.98192 71.06044 73.18130853 0.56 56.6408838171 71.50969 56.89736 72.4399 71.30548 73.91644907 0.57 57.1677817641 71.76374 57.52625 73.0688 71.64198 74.92593594 0.58 57.7452916539 72.01893 58.04777 73.59032 71.92102 75.76305749 0.59 58.2500640904 72.27545 58.54117 74.08372 72.18501 76.55503911 0.6 58.6971820499 72.53347 58.9312 74.47375 72.3937 77.18111129 0.61 59.0295685787 72.79319 59.18342 74.72597 72.52865 77.58596221 0.62 59.3657106905 73.05481 59.66313 75.20568 72.78532 78.35597388 0.63 59.9866501099 73.31853 60.53751 76.08006 73.25317 79.7594952 0.64 60.9472958592 73.58459 61.67581 77.21836 73.86222 81.58665171 0.65 61.7310424432 73.8532 61.83362 77.37617 73.94666 81.83997254 0.66 61.8923577543 74.12463 62.00637 77.54892 74.03909 82.11726408 0.67 62.1259866504 74.39913 62.36884 77.91139 74.23303 82.69908368 0.68 62.4844469345 74.67699 62.73011 78.27266 74.42633 83.2789859 0.69 62.7466053673 74.9585 62.78332 78.32587 74.4548 83.36438586 0.7 62.8872877407 75.24401 63.12989 78.67244 74.64023 83.92069395 0.71 63.4754389758 75.53385 64.32144 79.86399 75.27778 85.83332848 0.72 64.3752886294 75.82842 64.51376 80.05631 75.38068 86.14203028 0.73 64.5635043245 76.12813 64.69801 80.24055 75.47926 86.43777814 0.74 65.1178930705 76.43345 66.31296 81.85551 76.34335 89.03004498 0.75 66.3521152043 76.7449 66.46958 82.01213 76.42715 89.281455 0.76 66.6677682888 77.06303 67.29535 82.8379 76.86898 90.60694548 0.77 67.3732353462 77.38847 67.63398 83.17653 77.05017 91.15050266 0.78 67.83623384 77.72193 68.55331 84.09586 77.54206 92.62618389 0.79 68.827231163 78.06421 69.85768 85.40023 78.23997 94.71991099 0.8 70.0996948923 78.41621 71.06774 86.61029 78.88742 96.6622591 0.81 71.2071685132 78.77896 71.80156 87.34411 79.28005 97.84014975 0.82 71.8438489051 79.15365 72.03651 87.57906 79.40576 98.21729169 0.83 72.2317999638 79.54165 73.18526 88.72781 80.02041 100.061227 0.84 73.3316435119 79.94458 74.10014 89.64269 80.50992 101.529751 0.85 74.111143926 80.36433 74.17351 89.71606 80.54918 101.6475278 0.86 74.2366801753 80.80319 74.62472 90.16727 80.7906 102.3717858 0.87 74.8366226936 81.26391 76.25477 91.79732 81.66276 104.9882837 0.88 76.5060546549 81.74987 78.34884 93.89139 82.78321 108.3496197 0.89 78.5186799545 82.26528 79.89283
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