1. Pracujte s tabulkami kritických hodnot na webu http://cit.vfu.cz\statwelf\WELF\Teorie\tabulky.htm 2. Pokuste se identifikovat rozdělení na listu Rozdělení. "3. Usoudíte-li, že je to možné, pokuste se transformovat vybraná rozdělení na normální a testovat normalitu jedním z dříve uvedených testů." 4. Vygenerujte libovolným způsobem 100 hodnot s normálním rozdělením o průměru 5 a vložte je na list 100 hodnot. "5. Na listu Pravděpodobnost spočtěte podle normalizované Z statistiky za pomoci uvedených tabulek pravděpodobnost, že koncentrace je větší než 320 μgm-3." "6. Spočtěte pravděpodobnost, že koncentrace látky patří do jednoho z uvedených koncentračních pásů." 7. Proč není součet pravděpodobností spočítaných v bodě 6 roven 100 %? 8. Na list Graf vložte sloupcový graf pravděpodobností v jednotlivých koncentračních pásmech. O jaký graf se jedná? ##### Sheet/List 2 ##### Odhadované rozdělení gama (exponenciální) gama (exponenciální) rovnoměrné Weibullovo lognormální normální geometrické Poissonovo binomciké normální normální normální normální normální normální normální normální normální lognormální lognormální lognormální lognormální lognormální lognormální lognormální lognormální lognormální Weibullovo Weibullovo Weibullovo Weibullovo Weibullovo Weibullovo Weibullovo Weibullovo Weibullovo rovnoměrné rovnoměrné rovnoměrné rovnoměrné rovnoměrné rovnoměrné rovnoměrné rovnoměrné rovnoměrné triangulární triangulární triangulární triangulární triangulární triangulární triangulární triangulární triangulární gama (exponenciální) gama (exponenciální) gama (exponenciální) gama (exponenciální) gama (exponenciální) gama (exponenciální) gama (exponenciální) gama (exponenciální) gama (exponenciální) beta beta beta beta beta beta beta beta beta Studentovo Studentovo Studentovo Studentovo Studentovo Studentovo Studentovo Studentovo Studentovo Pearsonovo Pearsonovo Pearsonovo Pearsonovo Pearsonovo Pearsonovo Pearsonovo Pearsonovo Pearsonovo Fisher-Snedecorovo Fisher-Snedecorovo Fisher-Snedecorovo Fisher-Snedecorovo Fisher-Snedecorovo Fisher-Snedecorovo Fisher-Snedecorovo Fisher-Snedecorovo Fisher-Snedecorovo binomciké binomciké binomciké binomciké binomciké binomciké binomciké binomciké binomciké Poissonovo Poissonovo Poissonovo Poissonovo Poissonovo Poissonovo Poissonovo Poissonovo Poissonovo geometrické geometrické geometrické geometrické geometrické geometrické geometrické geometrické geometrické Bernoulliho Bernoulliho Bernoulliho Bernoulliho Bernoulliho Bernoulliho Bernoulliho Bernoulliho Bernoulliho 0.83724792 4.61609373 3.26290358 0.943696128 3.64258028 4.45608219 3 2 5 0.071849582 0.608915088 9.70192921 0.430030242 2.27420464 5.7382018 0 1 6 1.31989358 1.75820056 7.07101415 0.452449665 3.65780734 1.48498348 0 1 2 0.91985278 3.12215934 4.28991919 1.08700354 2.42844959 1.75744318 1 0 7 1.05892946 0.834213822 2.24728478 0.637960326 3.98020874 5.47427702 0 0 6 0.00178966 0.837800434 9.58439219 0.385202714 4.74212918 2.05390924 1 1 5 4.15915917 2.60094408 7.92119846 0.888666509 5.39536208 4.09100813 0 0 4 0.783542872 5.18533923 0.863716153 0.508818312 4.1553429 3.83404057 0 0 7 6.3284335 1.83451629 5.96511877 0.958985606 3.24255846 1.89414694 1 0 4 2.8073022 0.577465846 5.37570545 1.11013093 4.89032651 2.91389649 1 1 8 0.55203912 0.131489531 4.86624839 0.831230295 2.87728907 6.61097553 0 2 5 0.170394839 1.57231182 7.9652391 1.47842809 4.73857063 3.35037361 1 1 4 0.466027577 3.59915828 7.18263541 0.51763942 1.73431205 8.48091098 0 1 6 0.114185821 0.737232488 1.94543702 0.778830538 3.18089944 9.08705423 1 2 6 1.82758919 3.23633773 2.19359963 1.12606135 3.14744279 5.31762353 0 2 7 0.06192141 1.10017851 3.62330893 0.73229543 2.45595489 4.15662717 0 0 4 0.212036995 2.54890037 5.44930288 0.196746924 3.65791974 5.2310288 2 1 1 0.027526495 6.71745082 4.78998244 0.422268736 11.242188 4.58892052 1 2 5 1.92801684 1.38264531 8.65718203 0.37690687 1.46913987 2.44022348 1 1 3 0.197521788 1.86910377 0.446404205 0.749986089 6.59317111 1.41464975 0 2 3 3.17377047 2.11712896 1.74982443 1.39092854 3.94508208 4.11731541 0 3 7 0.148811037 0.852968511 8.20333403 0.516043929 4.31991121 5.63501984 0 0 6 0.509351005 1.31825622 4.04724664 0.698933438 3.92696248 5.01687963 6 1 5 2.54132275 1.32066283 4.16136402 0.958285142 7.70828813 3.54237354 2 1 3 0.702876862 0.686375942 9.40333299 0.609235015 2.43438265 5.44411379 1 2 4 1.35738303 2.49307546 5.63651057 0.405727458 3.49995637 4.33317227 1 4 5 0.151739659 1.20225567 3.9427647 0.602162755 8.1244091 3.38044449 0 0 3 1.4738019 1.47478962 5.46180571 0.799992903 2.8720639 3.75150181 0 0 5 0.736150556 3.06457554 2.98255071 1.75867078 3.64566971 6.28405233 0 3 7 0.23096583 1.46358479 0.809379239 0.847613917 3.91096717 6.71780021 0 1 3 2.62476041 1.92808163 6.75934661 1.78470666 5.39051044 1.70609794 0 3 6 1.27594857 1.68589717 0.125460352 0.602874171 3.4555584 6.17447267 4 0 8 0.801732927 1.11047925 6.4736633 1.01375942 6.82342869 1.53119298 0 1 5 0.041726587 0.377271797 2.82735015 0.973589558 3.8761521 4.03022949 4 1 6 0.007679839 2.91477322 4.69542382 0.695888515 8.11860285 4.69174737 0 0 5 0.276265948 3.14393822 5.488029 1.15859087 3.91584124 2.47314385 1 0 5 0.670956762 0.124067061 9.80000649 1.28487194 3.68093389 4.56814133 2 2 7 2.58507514 6.60228369 2.52981674 0.811424673 1.95160718 5.13330569 0 3 7 0.27611967 0.874037606 7.12683624 0.30176571 3.31608657 3.92517482 1 1 8 0.225459692 2.67779369 1.83423823 0.832734715 3.49648668 3.62199729 1 1 5 1.19013975 1.66673258 7.93019075 0.433209241 3.35563429 3.93240781 1 4 5 1.41750937 3.63083559 2.08007314 0.924535488 2.81465134 4.61246642 2 1 7 0.415386056 1.48066605 9.92599539 0.848284264 2.98220365 4.95739961 0 0 4 0.432010834 1.78854863 6.70108591 1.26098292 9.05577139 2.84829568 1 0 6 0.238463996 3.32665568 4.70749084 1.217107 5.49529653 4.88614503 0 0 6 1.33154287 3.82992767 7.27728685 0.748016717 3.11386497 3.050163 0 1 6 0.450007934 4.31767945 6.72914126 1.73823615 4.40751783 1.87858063 0 1 3 4.56566964 1.20549968 2.40223971 1.30641105 8.36708102 3.46789411 1 0 4 0.217266093 0.78527914 2.3670483 0.43749231 3.53702901 3.68206138 1 1 5 0.109468804 1.287577 1.2381821 1.26300237 4.65498669 0.889635497 0 1 6 2.50419308 2.14273821 7.84160511 0.535398288 5.5525804 0.995908441 0 1 7 2.10892388 1.07438398 5.17471471 0.300064326 7.17921745 3.35410491 0 0 3 0.146475326 2.80908187 0.117250641 0.711834236 2.38528129 3.9802728 0 1 5 2.09145502 2.19044442 1.18802244 1.04811929 3.44519113 2.24900425 2 0 7 1.0323149 0.770268925 9.32234298 0.905217468 3.6756243 5.60156967 0 1 5 1.20839546 1.02139249 2.88576387 0.928882341 2.13438479 4.88548778 0 0 6 0.640756396 0.297616571 9.40664098 0.489609753 3.63778477 5.76389176 2 2 3 2.99182239 2.50024209 2.23420467 0.901182898 2.34732834 4.8365108 1 0 6 0.342962777 2.08730876 9.59688556 0.85923329 5.54529954 6.31341028 3 0 5 0.348470398 6.04415206 8.55456247 1.71826586 4.44208832 3.03699163 0 0 3 0.717577255 1.81276428 5.68246523 0.189329697 6.63473311 5.57978692 1 0 7 4.12650122 0.275175607 3.38114065 0.473666435 5.36108282 3.45555332 0 2 3 0.286196837 1.51638096 4.15980907 0.337055819 2.81499049 5.42687997 0 0 6 0.578617728 0.84460481 8.93378986 0.274977168 3.6758382 4.74796921 0 1 3 0.239297224 0.319951028 2.2308222 1.52090035 2.62617724 3.21235179 0 0 4 0.282632072 1.26838315 8.19469695 0.479263382 3.11744143 4.5084163 3 1 7 0.336426601 2.01030092 7.88809959 0.917116676 4.79370716 5.08413653 1 1 5 0.047664427 0.609423593 6.08197488 0.646731118 3.07617685 2.82284327 0 2 4 0.306363653 0.480824807 0.485396609 0.467104965 4.56464458 5.5110548 0 1 5 3.36644643 7.53220842 4.31906746 2.30790301 5.24608146 4.71251113 3 1 3 1.12452852 1.04666112 0.822722241 0.66028428 4.56962693 3.36710802 0 0 9 1.89948372 0.840595134 7.68842133 0.339281322 2.78195084 2.12137971 0 1 4 0.807869479 1.18509793 8.58136965 1.03682942 7.07053321 5.8423055 0 2 7 0.579195923 3.74700644 5.77471828 1.03788534 5.50474685 4.87629835 0 0 7 1.94706915 0.04379697 7.15872766 0.364250084 8.14049645 5.89211735 2 1 6 0.318372743 0.575456954 8.89257425 0.456584505 6.46335318 4.7964227 0 0 6 0.14565372 0.881446614 5.10879893 0.665985268 5.10687745 2.20935075 0 2 7 0.073001802 3.51613664 9.95424798 1.22459269 3.19687647 5.26830281 0 2 4 3.642943 0.225511139 1.23085368 0.58837527 2.57816325 4.77306746 0 1 2 0.955024108 3.54284737 6.37067682 1.29847537 2.49566119 3.74548744 0 0 6 1.17439596 5.11648831 4.39208425 0.47166812 2.90357186 6.63560448 0 0 5 0.35404116 4.77127546 3.59796184 0.385652252 9.21144283 3.89085995 1 0 6 0.127717127 0.542940024 4.85046573 0.717846347 5.25432553 2.91386657 2 0 6 0.559676019 0.841594524 0.147984561 1.78545494 5.24961241 1.05198782 0 1 5 0.013213168 2.13143463 2.83696791 1.83464432 4.51906927 3.26185436 2 0 3 0.845784354 3.04816108 0.358787184 0.927375513 6.15349922 5.22454327 1 2 5 1.58616483 2.21548555 8.96248137 0.897847465 5.11239232 3.53347272 0 2 7 2.92493756 0.629703484 6.91195694 1.25541672 3.90808275 4.8373349 0 0 2 0.8879428 0.807477963 9.94677059 1.89777199 6.60505704 2.92526934 0 1 3 0.676715844 1.08919394 2.38304025 0.868626346 5.0580403 3.68076298 4 1 7 0.457851317 2.09421839 3.91330234 0.609757408 2.86760685 6.32544967 1 1 9 0.17733821 3.42135302 3.75862162 0.682942547 2.41347406 3.19725535 0 0 4 0.083952699 0.780820453 3.16243757 0.143767027 1.86023221 5.38095709 0 1 4 0.599107278 1.82457624 0.443153 0.888342678 10.3867769 0.281903208 0 1 5 0.120531698 3.41610141 2.48894887 1.23441214 4.19860861 3.83903734 0 0 5 1.19676861 2.29244799 2.30249165 1.07224566 5.60452417 4.34454117 2 1 6 0.211791829 0.480155166 4.75924115 0.618430211 3.86354048 1.77642847 0 0 2 0.781846907 3.46911179 7.03886696 1.23451929 1.59179378 5.27424246 0 2 5 0.698858526 1.90171556 3.41347401 0.832096284 8.54168176 3.68517517 0 0 6 0.582511968 0.854716378 7.76185633 0.264851726 3.41338698 2.81501822 2 1 9 2.10778968 0.510274004 8.57174605 1.15561954 3.84413902 1.80679292 0 0 1 0.562664932 0.916306151 5.78767429 0.43106686 4.4904394 5.92414514 0 0 8 1.09936564 5.3219318 4.70571977 1.04404331 13.9662853 4.46623178 0 0 3 1.11520793 1.27234088 5.37493672 1.31649142 3.02763993 2.64099995 1 1 9 3.03945892 1.73072669 3.84093399 0.590133727 6.06831942 4.9135266 2 1 3 0.08684067 1.81653558 5.18499843 0.705796681 5.21494599 2.47513561 1 1 5 1.02121237 1.81428574 8.0717028 1.82638737 4.63566885 1.77112182 2 0 6 2.77746448 1.07878033 8.10219464 1.42621738 9.59324849 6.08913908 1 2 7 0.632487322 2.75477741 7.6336743 1.46931204 3.36665039 4.61699724 3 2 6 1.55247216 1.05716119 7.50802205 0.799734401 2.76841507 2.83716045 5 1 2 2.04898924 2.15940081 0.343087723 0.636491514 6.10398453 2.04294708 0 1 7 0.293944535 0.899142593 3.82128033 1.36238289 4.5567332 3.98173797 0 0 6 0.093653326 1.02888509 9.44860579 0.79813452 2.42237175 1.97060943 6 2 7 0.650956845 2.2555387 9.2030612 1.12713536 1.82205193 2.18940978 1 3 3 0.170131238 0.697397768 7.84729125 1.56586872 11.7381841 5.24888862 1 3 5 0.213744027 0.737077266 2.56385624 0.711362595 5.12898424 4.06702564 0 0 5 0.609283112 1.82877206 3.21349402 1.24373304 3.57023764 2.41931867 0 1 5 2.95394702 4.93463168 0.062893326 0.674180827 4.8426281 6.94635519 0 1 5 1.11271409 1.4241893 1.25139523 0.313809272 3.88379612 5.15682522 2 0 2 0.097610514 1.62858508 0.934685143 0.087888065 4.13567917 3.47102305 0 0 5 1.77790948 2.31114064 2.39465273 1.29075349 1.5681156 5.19881714 0 1 6 2.18945501 1.68989423 7.58704994 0.982784813 3.85412206 0.089630905 0 1 5 1.45191538 1.57714892 1.7419679 1.16559564 4.3447838 6.73728999 6 2 5 3.02504863 0.580265563 3.79437587 0.497938034 8.18298275 4.03682226 1 1 7 0.456428607 1.18611034 7.79922123 0.371010399 2.69735477 6.80357358 0 2 5 0.030115943 1.94990828 3.23048891 0.260513008 3.39725848 2.94831539 0 1 7 1.60698929 1.32987656 9.64490192 1.03492747 3.55540795 5.59217506 1 2 4 0.741315391 0.729600934 6.1249164 0.900155005 2.81650256 3.04979461 0 0 6 1.7750115 1.47247923 4.8136523 1.1406648 2.82984975 3.58324928 1 1 5 0.565989237 2.68195831 1.20306368 1.80986399 5.50812256 4.86202933 0 1 7 0.009658118 1.579176 7.97521417 0.733488908 5.30464056 4.74582711 0 0 3 0.858337562 1.27635909 8.79579717 0.320184089 3.15528244 3.50410233 1 3 3 3.41357508 3.67613896 5.512226 1.78961749 3.99767309 3.21063219 9 1 3 0.266017496 1.93869757 0.397965952 0.304849406 3.29479019 3.34099728 0 0 6 0.445298201 0.460368279 9.38664563 0.522207969 5.23971423 4.2448349 0 0 10 1.27101806 5.15349806 2.37793817 0.137245506 5.11431821 5.64397049 0 1 7 0.449136228 3.81757384 5.10134953 0.644014729 3.63401554 8.17664387 1 1 5 2.44974553 0.528987738 7.75081676 0.346265232 3.40555852 3.25524538 0 0 2 0.332138975 3.86367505 8.57625868 1.79549926 2.76962873 2.37003907 0 0 4 1.7677909 0.706844576 5.78417652 0.994613001 2.33241162 2.93483088 0 1 5 0.633840103 2.73653881 7.27119649 1.68442753 4.08432367 5.58447681 0 3 6 0.61513267 1.05011975 9.59600096 1.13470183 4.22036014 8.02214655 0 0 5 0.364933827 0.838756134 1.20876992 0.137810652 3.61158715 4.70652608 0 0 5 0.311998794 0.800066359 1.26127897 0.566226436 3.04067677 6.0789061 1 1 7 1.33364097 1.6310202 2.30300493 0.696055683 6.36145824 3.53500266 0 1 2 0.146285194 0.698319612 8.06050293 0.77313056 4.82485184 5.88649262 3 0 6 0.559904481 0.161527938 3.33852184 0.467908965 2.47015946 2.26670618 0 1 7 0.734658215 3.21770993 0.8046489 0.689392831 1.42861737 2.66244057 1 1 4 0.053866186 0.6397556 9.53609159 1.36413551 6.0641076 5.19315087 0 1 3 1.66389728 2.14519842 8.06439391 1.07460841 4.00949282 2.56650703 0 1 9 2.72111221 1.08918206 0.614138113 0.941620464 1.74347465 2.73137086 0 0 4 1.92483172 1.33302262 6.15975316 1.14648381 7.10863011 2.59533872 1 2 4 0.023677949 0.685832303 1.74530328 0.595883696 3.6392017 3.90581542 0 0 7 1.40512725 1.07883025 7.22121317 0.883192178 3.92841511 4.6838245 2 2 4 1.06770377 1.85896045 3.52457529 0.642591074 3.1531126 4.60319371 0 0 4 0.155585431 4.52264183 0.727748806 0.807164818 2.4170384 4.97361851 0 0 7 0.508953107 0.586302277 0.026850272 1.5790939 1.72232485 2.19369984 1 0 4 0.822403634 0.9754086 2.12587269 0.938319024 7.13693553 3.21320472 0 0 2 2.8561089 1.11671893 4.26859563 1.20226999 4.40159042 2.00030052 2 2 3 2.23941914 1.40054741 4.5335137 0.387353736 3.25400494 2.33760923 2 0 5 1.96585367 1.02258165 8.18188939 0.703358499 5.55849655 4.01927811 1 1 7 0.338007904 4.26992807 8.13596071 1.68107982 7.47815819 2.19531394 1 1 5 1.3373911 2.75602117 2.28238381 1.17167055 3.35864274 3.2002815 1 1 5 0.032310725 0.347577689 3.64965256 0.476632761 6.90642763 4.82377863 0 1 4 4.91217069 3.13470814 5.12799182 0.804169906 3.82214611 4.42275999 0 1 5 0.048248182 0.635637236 2.55383948 1.12970697 3.07782942 5.43802096 1 0 9 0.112833071 1.5800683 7.25138754 1.54134803 4.25437992 3.74203765 3 1 6 0.17178676 3.40667741 0.099146343 0.329714821 2.86869314 2.73871307 6 0 7 0.543991994 4.65091707 3.37811336 0.951430156 2.83957613 2.43226011 0 1 7 1.11590067 1.46727351 3.94686521 0.800201911 2.72031082 5.45824058 0 0 8 0.611388324 3.84291768 7.74907571 0.49443086 2.58896925 6.33894019 3 0 1 0.470036269 1.54666776 1.23399625 0.484370178 4.01874371 4.97884986 3 0 6 0.627598202 0.616333586 5.64353353 0.928028489 4.51853615 5.82135852 3 4 4 0.520575581 1.22498683 8.3390306 0.846911683 4.47784633 1.97091469 0 0 5 2.56797765 1.79774217 5.99989871 0.534077718 3.42286963 3.54193956 0 1 3 0.600447856 3.64886864 6.71307037 0.059805356 3.0402727 4.69241468 0 2 5 0.445281438 0.140255427 4.51153573 1.43312352 2.40847208 4.74667602 1 0 3 0.168212555 1.12642104 3.12624756 0.372777975 4.51342614 4.69158019 5 0 4 0.333530399 0.485142655 2.045848 0.918048566 3.79265216 3.31663442 0 2 6 1.3727197 3.67436274 8.48931337 0.326270424 6.67595719 3.44743167 0 1 4 1.51145509 0.875068062 2.83018521 1.28151402 2.7759964 3.35198765 2 1 2 0.161413737 3.10758573 9.45828076 0.566714814 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2.76455213 2.02814088 1.42103411 4.57030616 4.91568404 0 2 5 0.588807046 0.130519115 2.9767193 2.04588171 4.72704778 6.04300664 0 1 7 2.58510917 2.80277957 0.059612433 0.853575877 8.35979743 3.44672952 0 0 3 0.840488181 1.45962222 0.034226347 1.20519859 6.93138827 6.00606328 0 3 6 0.882174114 2.858004 3.69585886 0.993635767 4.17951265 5.15634449 1 1 3 0.522900453 1.66493908 2.88135774 1.33400646 3.05673535 2.62098667 3 1 5 1.32154273 2.32009686 1.08071316 0.519151737 5.78792968 6.10800286 2 2 5 1.75491343 1.11725468 9.35092818 1.52727458 1.86692192 4.98960392 0 2 6 0.540856005 1.59887491 9.74715561 1.56448316 6.92542952 4.97675077 1 1 4 2.36871986 1.43484347 9.2897328 0.216710579 2.08747337 4.22977796 2 1 7 0.520015313 2.53495275 6.4199127 1.47961508 3.32849523 2.9919108 0 1 4 0.239629189 1.56402238 1.62983744 0.350122187 2.51968634 4.31622146 0 2 3 1.35761281 0.763467572 4.2110207 0.37430473 3.26408215 4.88265287 0 2 6 0.135026405 2.46476736 5.8570916 1.81798815 2.47039208 3.35812179 0 0 4 1.65874722 0.522013107 2.82551392 0.400469357 3.4979316 6.17599845 0 1 4 0.817188581 2.73186533 8.88361465 0.79626558 6.50882472 1.9336714 1 1 2 0.323532092 1.04215656 9.91578265 0.066181832 3.68709143 8.23965259 2 3 7 1.93321805 0.982278969 8.13908146 0.8234485 3.1640297 0.648633492 1 0 2 0.13156068 1.90980317 8.16796429 0.987871229 1.79006936 6.7201488 0 0 4 0.478158405 0.863719956 0.002618933 0.414943308 3.66539965 4.50673259 0 5 7 0.126997356 2.83277033 5.05157848 0.781681618 3.93275324 6.40308312 2 1 5 1.60359178 2.93439867 1.83903363 0.846619567 3.86508945 1.80180524 0 0 6 2.4583323 0.748879851 4.3837252 0.569063381 5.67985714 6.48507384 2 2 5 0.195518219 3.54911373 3.17377213 1.51246091 3.76747665 2.98293629 0 0 5 1.01952607 3.04049428 5.31936974 0.720634941 4.8091639 5.42039821 0 1 6 0.031587493 1.00369703 2.38715196 0.595234164 5.40726415 4.8284898 1 1 7 1.14651368 1.46137224 7.97209236 0.386139673 3.35823836 3.48089395 0 1 3 2.10151468 1.695374 7.90915709 1.19536679 3.78856653 2.43712715 0 1 6 0.230395732 0.651309636 4.58608762 1.00089011 8.85790007 2.86090875 3 0 4 2.20416748 3.31125817 4.53617607 0.693790403 1.15850936 6.32001938 0 0 4 0.777798687 3.32208976 6.42307065 1.42587567 5.36242772 4.50457733 0 0 4 0.558474425 3.47570696 6.61340303 1.49314236 2.59577847 4.03473678 0 1 3 1.45511993 3.86062266 9.13690033 1.29480937 2.984014 6.80004598 0 1 7 1.09910839 1.43400732 3.68070744 1.13088326 2.61812906 4.56088972 0 1 6 0.289433633 3.57982011 9.0115866 0.714139679 6.07295345 7.28765214 1 1 2 1.38791401 1.60933092 8.47211867 1.19973802 2.16526927 5.50669539 1 1 6 2.03059285 1.44653446 2.57053551 0.431351446 4.39390851 2.31206653 0 0 6 0.299909897 1.63219273 9.35105439 1.42496736 3.29557648 7.60845185 1 3 5 0.076720114 1.72390983 6.90101812 0.448144133 3.6462213 4.610217 0 1 2 0.352273496 0.960201188 3.19138795 0.441544596 3.48203301 4.04296222 3 2 5 0.488890145 4.48783209 1.66079674 0.931736632 5.6857871 3.37617232 0 0 7 0.139170235 3.72316907 3.31154268 1.04524094 5.63182232 1.91770727 2 4 3 0.398129412 1.71726525 9.88710911 0.587534838 8.46911876 1.8550207 1 1 4 1.19910005 1.51613109 1.98348437 1.60657542 3.01077752 3.90077475 1 3 6 1.24663878 1.47276636 3.07100239 0.531332518 4.88657505 4.85391663 1 2 4 1.8286937 0.728007496 1.8609596 1.78448341 1.96006925 3.26715474 1 1 4 1.70239633 1.3693002 2.06664103 1.45030793 1.47304978 1.08136184 0 0 4 0.094800038 1.77279014 0.189961384 0.372365784 1.181142 3.04936149 0 3 5 1.01733685 1.98661264 9.80490961 0.661622179 3.2619037 3.56996226 0 0 3 0.904056588 1.14788066 5.78504057 0.837129234 4.31352152 5.29057272 0 2 2 0.006647983 1.57221605 5.54293124 1.12685243 1.94319442 4.18343286 0 3 4 2.17107547 2.59153795 9.58746792 0.594061931 3.61145871 3.58059616 1 1 4 0.206631104 1.62883287 8.61414337 0.66247612 3.21671752 4.83615292 2 2 4 0.457848358 0.24081517 6.98004845 0.257131219 3.27144117 3.25258417 0 0 4 1.88862893 3.28486186 6.53072301 1.23934723 3.44747654 4.60737375 2 1 7 1.68861885 2.79761405 0.436104829 0.193723035 3.17316615 2.97093169 0 0 2 0.38266099 2.72421538 1.56774901 0.282072624 6.02659205 3.71326094 3 0 7 0.436888235 1.71739539 2.05181584 0.541822483 4.55263634 5.93942313 4 3 4 1.07962992 2.92879154 0.670757857 0.898324385 5.56897963 2.35006075 0 2 5 2.15301518 0.912011631 7.72857735 1.54035012 1.9584851 4.37606006 2 1 6 0.015894167 3.18452271 1.74052229 0.231366145 3.15695628 1.90392496 2 1 8 1.73413458 6.2451032 5.92399747 0.591743159 3.07732893 4.63969585 1 1 5 0.744064257 2.53301864 9.88188313 0.851258891 2.74111818 5.42907862 0 1 4 1.2849908 0.664648515 4.32196528 1.05958278 5.58710701 1.15635293 0 3 7 1.80082623 0.754649791 7.27664291 0.822166052 6.29217245 3.97658544 2 2 9 1.47522243 1.92958253 9.96986639 0.862447307 4.87473424 3.38334352 3 1 5 0.159605346 1.03276467 8.70907241 0.540822724 4.51549225 3.55636154 0 1 5 0.865840887 2.9255537 5.30214742 0.085058681 5.06380901 2.73528847 0 1 4 ##### Sheet/List 3 ##### Vygenerujte 100 normálně rozdělených hodnot o průměru 5: 10.9386237 9.2218885 2.629087363 6.244923021 7.655451622 7.492169127 3.504171231 5.680278051 2.717942272 3.281507563 5.682562027 3.910432538 4.03432592 4.970123229 4.431678356 7.10764918 8.686330631 5.515616997 6.763258985 1.279853739 9.457193795 3.607987027 5.838968897 9.838752427 9.458965886 4.921932408 9.755775172 8.101187359 8.011915478 6.114772611 3.97845056 2.651083872 4.783185673 7.506508706 5.186358718 3.504291582 -3.045891859 5.199761105 1.939169518 6.518967285 5.713662861 9.827434269 6.185827917 6.74322232 7.416718006 3.550563633 -4.172359659 4.359828187 2.814409172 11.51741249 6.760411755 6.251567232 4.238491952 3.851742175 10.9098659 11.13141613 8.186266233 3.004784583 5.180954488 2.543873713 9.590986872 0.791255564 2.506348157 7.356584613 4.80746065 2.035233069 7.892350074 3.900384892 4.439383179 7.246189726 5.114941704 5.17915438 5.941367045 3.486871173 3.928673681 5.013221545 9.059189928 6.27469514 3.850047407 1.415988454 9.210690605 4.380716735 6.864100961 3.837961559 8.107105806 2.066865244 7.626428518 7.073626142 3.106260154 4.151209213 6.474629959 2.861195299 5.794458659 0.088048911 7.325386114 0.044305268 1.293708162 6.869920814 5.773900912 6.872479706 ##### Sheet/List 4 ##### Pracujte s tabulkami kritických hodnot na webu http://cit.vfu.cz\statwelf\WELF\Teorie\tabulky.htm. "Předpokládejme nyní, že jsme již zjistili, že střední hodnotakoncentrace měřené látky je 300 μgm-3 se směrodatnou odchylkou 12 μgm-3. " Zjistěte: "Pravděpodobnost, že koncentrace je větší než 320 μgm-3." Střední hodnota μ 300 μgm-3 Směrodatná odchylka σ 12 μgm-3 Normovaná Z-statistika Z 1.6666 Hodnota distribuční funkce F(Z) 0.952 Pravděpodobnost P(X>320) 4.8 % "Nyní spočtěte (při znalosti vlastností distribuční funkce F(X)) podobným způsobem pravděpodobnost, že koncentrace se nachází v následujících koncentračních pásmech:" Distribuční funkce: 0.0004342 až 0.00621 "Pravděpodobnost, že koncentrace je 260 μgm-3 až 270 μgm-3:" 0.57758 % Distribuční funkce: 0.00621 až 0.04846 "Pravděpodobnost, že koncentrace je 270 μgm-3 až 280 μgm-3:" 4.225 % Distribuční funkce: 0.04846 až 0.2033 "Pravděpodobnost, že koncentrace je 280 μgm-3 až 290 μgm-3:" 15.484 % Distribuční funkce: 0.2033 až 0.5 "Pravděpodobnost, že koncentrace je 290 μgm-3 až 300 μgm-3:" 29.67 % Distribuční funkce: 0.5 až 0.7967 "Pravděpodobnost, že koncentrace je 300 μgm-3 až 310 μgm-3:" 29.67 % Distribuční funkce: 0.7967 až 0.95154 "Pravděpodobnost, že koncentrace je 310 μgm-3 až 320 μgm-3:" 15.484 % Distribuční funkce: 0.95154 až 0.99379 "Pravděpodobnost, že koncentrace je 320 μgm-3 až 330 μgm-3:" 4.225 % Distribuční funkce: 0.99379 až 0.9995658 "Pravděpodobnost, že koncentrace je 330 μgm-3 až 340 μgm-3:" 0.57758 % Proč není součet 100 %? Součet: 99.91316 % Na závěr vložte na list graf sloupcový graf výsledků - o jaký graf se jedná?