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{"sheet":"class rolls","index":0,"n_rows":21,"n_cols":7,"rows_kept":21,"cut":false,"hidden":false,"merged":[]}
["How often did the class roll a 4 in 12 trials?"]
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["# 4's","est.prob",null,"predicted","prob (binomial)"]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Have cursor in BLUE cell","Have cursor in BLUE cell"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"before hitting this button!"]
["roll","U[0,1]","outcome"]
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[null,null,null,null,"Expected count is",null,null,null,null,null,null,null,null,null,null,11,null,null,2.7777777777777776E-2,null,0.16666666666666666,null,null,11,2,0.16666666666666666]
[null,null,null,null,"12 * 1/6 =",2,null,null,null,null,null,null,null,null,null,12,null,null,2.7777777777777776E-2,null,0.16666666666666666,null,null,12,1,8.3333333333333329E-2]
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[null,null,null,null,"distribution mean of X",null,null,null,null,null,null,null,null,null,null,14,null,null,2.7777777777777776E-2,null,0.16666666666666666,null,null,14,2,0.16666666666666666]
[null,null,null,null,"1/6*(1+2+3+4+5+6)=",3.5,null,null,null,null,null,null,null,null,null,15,null,null,2.7777777777777776E-2,null,0.16666666666666666,null,null,15,1,8.3333333333333329E-2]
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[null,null,null,null,"Observed mean of X",null,null,null,null,null,null,null,null,null,null,17,null,null,2.7777777777777776E-2,null,0.16666666666666666,null,null,17,3,0.25]
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[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Have cursor in BLUE cell"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"before hitting this button!"]
["roll","U[0,1]","outcome"]
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[15,0.32894374014254879,2,null,"Expected count is",null,null,null,null,null,null,null,null,null,null,11,null,null,2.7777777777777776E-2,null,0.16666666666666666,null,null,11,17,0.17]
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[18,2.6149816273462578E-2,1,null,"distribution mean of X",null,null,null,null,null,null,null,null,null,null,14,null,null,2.7777777777777776E-2,null,0.16666666666666666,null,null,14,15,0.15]
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[21,0.88443665418229833,6,null,"Observed mean of X",null,null,null,null,null,null,null,null,null,null,17,null,null,2.7777777777777776E-2,null,0.16666666666666666,null,null,17,11,0.11]
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[27,0.86613960795858824,6,null,null,null,null,null,null,null,null,null,null,null,null,null,"std. error",{"$f":"SQRT(SUM(S9:S28)/($P$28-1))","v":0.17099639201419237},null,null,null,null,null,23,28,0.28000000000000003]
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[58,0.692407448586703,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,54,18,0.18]
[59,0.8680614911053034,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,55,21,0.21]
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{"sheet":"1000","index":3,"n_rows":1004,"n_cols":26,"rows_kept":1004,"cut":false,"hidden":false,"merged":[]}
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Have cursor in BLUE cell"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"before hitting this button!"]
["roll","U[0,1]","outcome"]
[1,{"$f":"RAND()","v":0.51606405126850541},{"$f":"INT(B5*6+1)","v":4},null,null,null,null,null,null,null,null,null,null,null,null,"Results of experiments"]
[2,{"$f":"RAND()","v":0.81048642012852068},{"$f":"INT(B6*6+1)","v":5},null,null,null,null,null,null,null,null,null,null,null,null,"estimated probability of rolling a 4:",null,null,null,null,null,null,null,null,"average",{"$f":"AVERAGE(Z9:Z508)","v":0.16558800000000024}]
[3,0.95089531763623181,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"std. error",{"$f":"STDEV(Z9:Z508)","v":1.2053914289532619E-2}]
[4,0.75503340137721819,5,null,"outcome","count","rel freq.",null,null,null,null,null,null,null,null,null,"count","est. prob","sq error",null,"true"]
[5,0.42685060106256278,3,null,1,{"$f":"FREQUENCY(C5:C1004,E9:E14)","v":154},{"$f":"F9/$F$16","v":0.154},null,null,null,null,null,null,null,null,1,null,null,{"$f":"(R9-U9)^2","v":2.7777777777777776E-2},null,{"$f":"1/6","v":0.16666666666666666},null,null,1,169,0.16900000000000001]
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[12,0.81858366439408237,5,null,null,{"$f":"SUM(F9:F14)","v":1000},{"$f":"SUM(G9:G14)","v":1},null,null,null,null,null,null,null,null,8,null,null,2.7777777777777776E-2,null,0.16666666666666666,null,null,8,193,0.193]
[13,0.92101686523317605,6,null,null,null,null,null,null,null,null,null,null,null,null,9,null,null,2.7777777777777776E-2,null,0.16666666666666666,null,null,9,162,0.16200000000000001]
[14,7.5028040310305077E-2,1,null,null,null,null,null,null,null,null,null,null,null,null,10,null,null,2.7777777777777776E-2,null,0.16666666666666666,null,null,10,177,0.17699999999999999]
[15,0.21406857567194015,2,null,"Expected count is",null,null,null,null,null,null,null,null,null,null,11,null,null,2.7777777777777776E-2,null,0.16666666666666666,null,null,11,172,0.17199999999999999]
[16,0.9456170363734393,6,null,"1000 * 1/6 =",{"$f":"1000*1/6","v":166.66666666666666},null,null,null,null,null,null,null,null,null,12,null,null,2.7777777777777776E-2,null,0.16666666666666666,null,null,12,165,0.16500000000000001]
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[18,0.34420037803524373,3,null,"distribution mean of X",null,null,null,null,null,null,null,null,null,null,14,null,null,2.7777777777777776E-2,null,0.16666666666666666,null,null,14,160,0.16]
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[21,0.33510080869440484,3,null,"Observed mean of X",null,null,null,null,null,null,null,null,null,null,17,null,null,2.7777777777777776E-2,null,0.16666666666666666,null,null,17,182,0.182]
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[27,0.77108471414800728,5,null,null,null,null,null,null,null,null,null,null,null,null,null,"std. error",{"$f":"SQRT(SUM(S9:S28)/($P$28-1))","v":0.17099639201419237},null,null,null,null,null,23,177,0.17699999999999999]
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[37,0.50846939278854497,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,33,155,0.155]
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[40,0.95802058364111953,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,36,153,0.153]
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[42,0.33616324328909208,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,38,166,0.16600000000000001]
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[54,0.56631954450445599,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,50,159,0.159]
[55,0.47891879884140365,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,51,186,0.186]
[56,0.85258938835499631,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,52,170,0.17]
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[58,0.18859824913097745,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,54,178,0.17799999999999999]
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[60,0.96695548289287792,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,56,157,0.157]
[61,0.37789562328879867,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,57,162,0.16200000000000001]
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[64,0.86183903182788502,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,60,158,0.158]
[65,8.3399976854407365E-2,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,61,146,0.14599999999999999]
[66,{"$f":"RAND()","v":0.31091552702761405},{"$f":"INT(B70*6+1)","v":2},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,62,162,0.16200000000000001]
[67,0.68750248581196516,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,63,167,0.16700000000000001]
[68,0.12518010530184864,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,64,171,0.17100000000000001]
[69,0.47715608436470414,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,65,155,0.155]
[70,0.86416849110249883,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,66,170,0.17]
[71,0.32089386991222868,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,67,164,0.16400000000000001]
[72,0.77252458491226361,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,68,163,0.16300000000000001]
[73,0.10772906665924287,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,69,175,0.17499999999999999]
[74,0.5905479848889883,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,70,147,0.14699999999999999]
[75,0.30839253028757307,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,71,161,0.161]
[76,0.94996602067814473,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,72,175,0.17499999999999999]
[77,0.64916697493471787,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,73,163,0.16300000000000001]
[78,0.30334277473288918,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,74,145,0.14499999999999999]
[79,0.21580648097173727,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,75,133,0.13300000000000001]
[80,0.50981194323333268,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,76,171,0.17100000000000001]
[81,0.70931201140670397,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,77,157,0.157]
[82,5.8863530654683194E-2,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,78,168,0.16800000000000001]
[83,0.19140817344774563,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,79,158,0.158]
[84,0.70059264547730149,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,80,169,0.16900000000000001]
[85,0.85652971801249522,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,81,162,0.16200000000000001]
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[91,7.9494593697610139E-2,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,87,150,0.15]
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[93,0.70412508890941883,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,89,151,0.151]
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[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Have cursor in BLUE cell"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"before hitting this button!"]
["roll","U[0,1]","outcome"]
[1,{"$f":"RAND()","v":0.675049129097126},{"$f":"INT(B5*6+1)","v":5},null,null,null,null,null,null,null,null,null,null,null,null,"Results of experiments",null,null,null,null,null,null,null,{"$f":"RANDBETWEEN(1,6)","v":5},5,6,1,3,3,6,6,5,5]
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[15,0.86374253474488405,6,null,"Expected count is",null,null,null,null,null,null,null,null,null,null,11,null,null,2.7777777777777776E-2,null,0.16666666666666666,null,null,6,1,5,4,1,6,1,1,5,5,null,null,11,1664,0.16639999999999999]
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[18,0.45642252474573297,3,null,"distribution mean of X",null,null,null,null,null,null,null,null,null,null,14,null,null,2.7777777777777776E-2,null,0.16666666666666666,null,null,4,6,3,2,3,4,3,3,5,3,null,null,14,1606,0.16059999999999999]
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[21,6.3561083134436869E-3,1,null,"Observed mean of X",null,null,null,null,null,null,null,null,null,null,17,null,null,2.7777777777777776E-2,null,0.16666666666666666,null,null,1,2,5,3,4,6,5,3,4,3,null,null,17,1681,0.1681]
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[27,0.40809144615858783,3,null,null,null,null,null,null,null,null,null,null,null,null,null,"std. error",{"$f":"SQRT(SUM(S9:S28)/($P$28-1))","v":0.17099639201419237},null,null,null,null,null,3,2,1,5,6,5,3,1,5,2,null,null,23,1644,0.16439999999999999]
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{"sheet":"summary","index":5,"n_rows":9,"n_cols":4,"rows_kept":9,"cut":false,"hidden":false,"merged":[]}
[]
[null,null,"from the 20 saved experiments"]
[]
[null,null,null,"standard"]
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