{"text_format":"1","workbook":"xlsx","n_sheets":11,"sheets":["Inhaltsverzeichnis","T1 Zufallszahlen","T2 Binomialverteilung","T3 Fsn(z)","T3 - Abbildung Normalverteilung","T3 - Abb.Diskrete u. stetige NV","T4 F(Chi^2)","T4 Abbildung zu Chi^2 f","T5a F(t)","T5b D(t)","t-Vert Grafik"],"not_rendered":{"charts":15,"images":4,"macros":1,"external_links":0,"defined_names":0,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Inhaltsverzeichnis","index":0,"n_rows":16,"n_cols":2,"rows_kept":16,"cut":false,"hidden":false,"merged":[]}
["Prof. Dr. Peter Schmidt"]
["Verteilungen: Tafeln und Grafiken"]
["zum Buch: Statistik schrittweise verstehen "]
["(UTB 2019)"]
[]
["Inhalt: ","Link (Tabellenblatt)"]
[{"$f":"'T1 Zufallszahlen'!A1","v":"Tabelle 1 - Einige Zufallszahlen"},"T1 Zufallszahlen"]
[{"$f":"'T2 Binomialverteilung'!A1","v":"Tabelle 2: Binomialverteilung"},"T2 Binomialverteilung"]
[{"$f":"'T3 Fsn(z)'!A1","v":"Tabelle 3: Standardnormalverteilung"},"T3 Fsn(z)"]
[{"$f":"'T3 - Abbildung Normalverteilung'!A1","v":"Theoretische Verteilungen -- Normalverteilung und Standardnormalverteilung"},"T3 - Abbildung Normalverteilung"]
[{"$f":"'T3 - Abb.Diskrete u. stetige NV'!A1","v":"T3 - Abb.Diskrete u. stetige NV"},"T3 - Abb.Diskrete u. stetige NV"]
[{"$f":"'T4 F(Chi^2)'!A1","v":"Tabelle 4: c2-Verteilung"},"T4 F(Chi^2)"]
[{"$f":"'T4 Abbildung zu Chi^2 f'!A1","v":"Tabelle 4: c2-Verteilung"},"T4 Abbildung zu Chi^2 f"]
[{"$f":"'T5a F(t)'!A1","v":"Tabelle 5 a: t-Verteilung"},"T5a F(t)"]
[{"$f":"'T5b D(t)'!A1","v":"Tabelle 5 b: t-Verteilung"},"T5b D(t)"]
[{"$f":"'t-Vert Grafik'!A1","v":"t-Verteilung"},"t-Vert Grafik"]

{"sheet":"T1 Zufallszahlen","index":1,"n_rows":31,"n_cols":10,"rows_kept":31,"cut":false,"hidden":false,"merged":[]}
["Tabelle 1 - Einige Zufallszahlen"]
[]
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[]
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[]
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[{"$f":"RANDBETWEEN(0,99)","v":18},47,27,1,40,52,83,51,87,96]
[]
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[36,15,51,87,44,60,29,91,35,84]
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["Tabelle 2: Binomialverteilung",null,null,null,null,null,null,null,null,null,"Wahrscheinlichkeitsfunktion"]
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{"sheet":"T3 - Abbildung Normalverteilung","index":4,"n_rows":1037,"n_cols":14,"rows_kept":1037,"cut":false,"hidden":false,"merged":[]}
["Theoretische Verteilungen -- Normalverteilung und Standardnormalverteilung"]
["Mittelwert:",null,217]
["Standardabw.:",null,31]
[]
["X","Z","f(z)","F(z)"]
[{"$f":"$C$2+B6*$C$3","v":139.5},{"$f":"B7-0.25","v":-2.5},{"$f":"NORMDIST(B6,0,1,0)","v":1.752830049356854E-2},{"$f":"NORMSDIST(B6)","v":6.2096653257761331E-3}]
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[155,-2,5.3990966513188063E-2,2.2750131948179191E-2]
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[170.5,-1.5,0.12951759566589174,6.6807201268858057E-2]
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[201.5,-0.5,0.35206532676429952,0.30853753872598688]
[209.25,{"$f":"B16-0.25","v":-0.25},0.38666811680284924,0.4012936743170763]
[{"$f":"$C$2","v":217},{"$f":"(A16-$C$2)/$C$3","v":0},0.3989422804014327,0.5]
[{"$f":"$C$2+B17*$C$3","v":224.75},{"$f":"B16+0.25","v":0.25},0.38666811680284924,0.5987063256829237]
[232.5,{"$f":"B17+0.25","v":0.5},0.35206532676429952,0.69146246127401312]
[240.25,0.75,0.30113743215480443,0.77337264762313174]
[248,1,0.24197072451914337,0.84134474606854304]
[255.75,1.25,0.18264908538902191,0.89435022633314476]
[263.5,1.5,0.12951759566589174,0.93319279873114191]
[271.25,1.75,8.6277318826511532E-2,0.95994084313618289]
[279,2,5.3990966513188063E-2,0.97724986805182079]
[286.75,2.25,3.1739651835667418E-2,0.98777552734495533]
[294.5,2.5,1.752830049356854E-2,0.99379033467422384]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null," -------------------------- Diagramme aus XY-Punkten, geglättet verbunden + Fehlerbalken !! -------------------"]
[null,null,null,null,null,null,null,"Grenzen für f(z)",null,null,null,null,"Grenzen für D(z)"]
["X","Z","f(z)","Fläche f(z)","Fläche D(z)",null,null,"Untergrenze",-5,null,null,null,"Untergrenze",-1.64]
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[null,{"$f":"B38+0.01","v":-4.9800000000000004},{"$f":"NORMDIST(B39,0,1,0)","v":1.6427505880450713E-6},1.6427505880450713E-6,0]
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[null,-4.7800000000000047,4.3595638796715435E-6,4.3595638796715435E-6,0,null,"einfaches Säulendiagramm - nicht dynamisch"]
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[null,{"$f":"B102+0.01","v":-4.3400000000000141},{"$f":"NORMDIST(B103,0,1,0)","v":3.2419886804211765E-5},3.2419886804211765E-5,0]
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{"sheet":"T4 F(Chi^2)","index":6,"n_rows":37,"n_cols":10,"rows_kept":37,"cut":false,"hidden":false,"merged":[[2,1,2,9]]}
["Tabelle 4: c2-Verteilung",null,null,null,null,null,null,null,null,"Verteilungsfunktion"]
[null,"F (c2)"]
[]
["n",0.6,0.75,0.9,0.95,0.97499999999999998,0.98,0.99,0.995,0.999]
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[2,{"$f":"CHIINV(1-B$4,$A6)","v":1.83258146374831},{"$f":"CHIINV(1-C$4,$A6)","v":2.7725887222397811},4.6051701859880918,5.9914645471079799,7.3777589082278707,7.8240460108562901,9.2103403719761818,10.596634733096071,13.815510557964272]
[3,2.9461660731019483,4.1083449356323172,6.2513886311703235,7.8147279032511774,9.3484036044961467,9.8374093111925909,11.34486673014437,12.838156466598649,16.266236196238129]
[4,4.0446264906493132,5.385269057779392,7.779440339734859,9.487729036781154,11.143286781877796,11.667843403834778,13.276704135987622,14.860259000560243,18.466826952903169]
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[7,7.2832076328403028,9.0371475479081411,12.01703662378053,14.067140449340165,16.012764274629323,16.62242187111087,18.475306906582357,20.27773987496262,24.321886347856854]
[8,8.3505254677536591,10.21885497024676,13.361566136511728,15.507313055865451,17.53454613948465,18.168230764826358,20.09023502966323,21.95495499065953,26.124481558376139]
[9,9.4136400944828331,11.38875144047037,14.683656573259837,16.918977604620448,19.022767798641631,19.679016094854546,21.665994333461928,23.589350781257387,27.877164871256571]
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[12,12.583837966617503,{"$f":"CHIINV(1-C$4,$A16)","v":14.845403671040177},18.549347786703244,21.026069817483062,23.336664158645338,24.053956690175994,26.216967305535846,28.299518822046029,32.909490407360209]
[13,13.635570993661942,15.983906216312054,19.811929307127564,22.362032494826934,24.735604884931536,25.471509144682258,27.688249610457046,29.819471223653217,34.528178974870883]
[14,14.685294256286676,17.116933596000067,21.064144212997057,23.684791304840576,26.118948045037367,26.872764642314312,29.141237740672793,31.319349622595286,36.123273680398135]
[15,15.733222951587837,18.245085602415134,22.307129581578689,24.995790139728626,27.488392863442979,28.259496337433021,30.577914166892487,32.80132064579184,37.697298218353829]
[16,16.779536709932039,19.368860220584512,23.541828923096112,26.296227604864235,28.845350723404756,29.633177314052691,31.99992690881518,34.267186537826696,39.252354790768472]
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[18,18.867904121248483,21.604889795728166,25.989423082637213,28.86929943039263,31.52637844038663,32.34616093033884,34.805305734705072,37.156451456606746,42.312396331679963]
[19,19.910198855635752,22.717806744199855,27.20357102935683,30.143527205646159,32.852326861729708,33.687425071285354,36.190869129270048,38.582256554934233,43.820195964517524]
[20,20.951368377763714,23.827692043030861,28.411980584305635,31.410432844230922,34.169606902838339,35.019625540599286,37.566234786625046,39.996846312938644,45.314746618125859]
[21,21.991497490918356,24.934777014902309,29.615089436182732,32.670573340917301,35.478875905727257,36.343448938005793,38.932172683516072,41.401064771417602,46.797038041561308]
[22,23.030660899220436,{"$f":"CHIINV(1-C$4,$A26)","v":26.039265028165019},30.813282343953034,33.9244384714438,36.780712084035557,37.659499283474794,40.289360437593864,42.795654999308539,48.267942290835173]
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[28,29.248618371554031,32.620494099025535,37.915922544697068,41.337138151427396,44.460791836317753,45.418847376293662,48.27823577031549,50.993376268499453,56.892285393353603]
[29,30.282535953303551,33.710908603910802,39.087469770693957,42.556967804292675,45.722285804174533,46.692698801377873,49.587884472898828,52.335617785933614,58.30117348979492]
[30,31.315863236039085,34.799742519140928,40.256023738711804,43.772971825742182,46.979242243671152,47.961802817985877,50.892181311517085,53.671961930240585,59.70306430442993]
[40,41.62219288558672,45.616013618942141,51.805057213317525,55.75847927888703,59.341707143171199,60.436133560637167,63.690739751564465,66.765961832803924,73.40195751899104]
[50,51.891583874578679,56.33360492213238,63.167121005726315,67.504806549541186,71.420195187506408,72.61325238080741,76.15389124901273,79.489978466828902,86.660815190403127]
[100,102.94594421545681,109.1412410700806,118.49800381106211,124.34211340400408,129.56119718583659,131.14167686649117,135.80672317102679,140.16948944231365,149.44925277903872]

{"sheet":"T4 Abbildung zu Chi^2 f","index":7,"n_rows":51,"n_cols":8,"rows_kept":51,"cut":false,"hidden":false,"merged":[[2,2,2,4]]}
["Tabelle 4: c2-Verteilung",null,null,null,null,null,null,"DICHTEfunktion"]
[null,null,"f (c2)"]
[]
[null,"Freiheitsgrade n: "]
[null,3,5,9,20,30,50]
[null,{"$f":"\"n=\"&B5","v":"n=3"},{"$f":"\"n=\"&C5","v":"n=5"},"n=9","n=20","n=30","n=50"]
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[1,{"$f":"CHIDIST($A8,B$5)-(CHIDIST($A8+0.01,B$5))","v":2.4196871813342291E-3},8.1059518904369465E-4,2.33926181977262E-5,{"$f":"CHIDIST($A8,E$5)-(CHIDIST($A8+0.01,E$5))","v":1.7033818799916389E-11},0,0]
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[10,8.4812687285312077E-5,2.8285020607481115E-4,8.0895138700154412E-4,1.8169075420493286E-4,2.3693219575182667E-6,3.2673863614718357E-12]
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[12,3.4177390006184284E-5,1.3676647882690518E-4,5.6316512069246039E-4,{"$f":"CHIDIST($A19,E$5)-(CHIDIST($A19+0.01,E$5))","v":3.4462268536050722E-4},{"$f":"CHIDIST($A19,F$5)-(CHIDIST($A19+0.01,F$5))","v":1.1177894701619451E-5},9.5364716123924609E-11]
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[20,8.0807039223678139E-7,5.3884816660146329E-6,6.1613422250358235E-5,6.2539358268787204E-4,2.6064592934815778E-4,3.6714701157070095E-7]
[21,{"$f":"CHIDIST($A28,B$5)-(CHIDIST($A28+0.01,B$5))","v":5.0222001983048269E-7},3.5163765078596778E-6,4.4327430532639309E-5,5.8838739395106199E-4,3.1295472416437153E-4,7.1797901635139993E-7]
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[23,1.9335228940178898E-7,1.4826895490246202E-6,2.2419531207905005E-5,4.9075514507612716E-4,4.1132085960482456E-4,2.3431835757259378E-6]
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[28,1.7511356556337114E-8,1.6346849000054893E-7,3.6630011063953525E-6,{"$f":"CHIDIST($A35,E$5)-(CHIDIST($A35+0.01,E$5))","v":2.3650959132337501E-4},5.2994558195895713E-4,2.1576946201973257E-5]
[29,1.0809141386756074E-8,1.0450636747918806E-7,2.5120040780776979E-6,1.9671485663221022E-4,5.2529847119187068E-4,3.0376499958184588E-5]
[30,6.6681343026259199E-9,6.6692447630798941E-8,1.7155199376149414E-6,1.6187388127153479E-4,5.1209384685274584E-4,4.15612627708839E-5]
[31,4.111271434152567E-9,4.248998474603708E-8,1.1670296781842782E-6,1.3187804140755294E-4,4.9151387798390678E-4,5.5367635819258965E-5]
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[33,1.5604708894306319E-9,1.716777846690047E-8,5.34324925627154E-7,8.5154976850160269E-5,4.3382375762945902E-4,9.1308980604942747E-5]
[34,9.6070478154384327E-10,1.0889587403725758E-8,3.5977322993754489E-7,6.7566306772470081E-5,3.9962135235238616E-4,1.1336506702208649E-4]
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[36,3.6366833641760019E-10,4.3646256598392111E-9,1.6166071615494507E-7,4.1573447289444676E-5,3.2721614130948318E-4,1.6438629627535395E-4]
[37,2.2361814797519993E-10,2.7583295530862892E-9,1.0791923001178471E-7,3.2266149626333437E-5,2.9124185563844662E-4,1.9242460340562761E-4]
[38,1.3745165398169249E-10,1.7412831839761481E-9,7.1859261581940886E-8,2.4878423932825355E-5,2.5658493307334496E-4,2.2133048308770054E-4]
[39,8.4458332465192759E-11,1.0980989716391824E-9,4.7732471473997237E-8,1.9063012725801035E-5,2.2387085109751292E-4,2.5038198268401146E-4]
[40,5.1879079105851742E-11,6.9180744962341065E-10,3.163338434575781E-8,1.4520789696816257E-5,1.9353798273726019E-4,2.7881212007541123E-4]
[41,3.1857103666999021E-11,4.3543346878818698E-10,2.0918344724694847E-8,1.0998814411931467E-5,1.6585728634337105E-4,3.0584782747455908E-4]
[42,1.9556500110151924E-11,2.7382356919380514E-10,1.3803991488009512E-8,8.2865965383548817E-6,1.4095670507320579E-4,3.3074882022199326E-4]
[43,1.2001979366534013E-11,1.7204835793746751E-10,9.0911812285330162E-9,6.2114161300461102E-6,1.1884748211236223E-4,3.5284354095754811E-4]
[44,7.3637183991276754E-12,1.0801346605624259E-10,5.9760446543235823E-9,{"$f":"CHIDIST($A51,E$5)-(CHIDIST($A51+0.01,E$5))","v":4.6333067087599329E-6},9.9450226425108756E-5,3.7155977338876323E-4]

{"sheet":"T5a F(t)","index":8,"n_rows":44,"n_cols":8,"rows_kept":44,"cut":false,"hidden":false,"merged":[]}
["Tabelle 5 a: t-Verteilung",null,null,null,null,null,null,"Verteilungsfunktion"]
[null,"F (t)"]
[" (1-a)",0.7,0.8,0.9,0.95,0.97499999999999998,0.99,0.995]
["a",{"$f":"1-B3","v":0.30000000000000004},0.19999999999999996,9.9999999999999978E-2,5.0000000000000044E-2,2.5000000000000022E-2,1.0000000000000009E-2,5.0000000000000044E-3]
["n          a / 2",{"$f":"B4/2","v":0.15000000000000002},9.9999999999999978E-2,4.9999999999999989E-2,2.5000000000000022E-2,1.2500000000000011E-2,5.0000000000000044E-3,2.5000000000000022E-3]
[1,{"$f":"TINV(2*B$4,$A6)","v":0.72654252800536079},1.376381920471174,3.0776835371752544,6.3137515146750376,12.706204736174694,31.820515953773928,63.656741162871526]
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[3,0.58438972743981854,0.97847231236330501,1.63774435369621,2.3533634348018233,3.1824463052837078,4.5407028585681317,5.8409093097333553]
[4,0.56864906304970531,0.94096457723518112,1.5332062740589445,2.131846786326649,2.776445105197793,3.7469473879791959,4.6040948713499921]
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