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["How often did the class roll a 4 in 12 trials?"]
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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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[2,{"$f":"RAND()","v":0.19911248538195536},{"$f":"INT(B6*6+1)","v":2},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",{"$f":"AVERAGE(Z9:Z508)","v":0.1728333333333332}]
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[null,null,null,null,"Expected count is",null,null,null,null,null,null,null,null,null,null,11,0,0,2.7777777777777776E-2,null,0.16666666666666666,null,null,11,2,0.16666666666666666]
[null,null,null,null,"12 * 1/6 =",2,null,null,null,null,null,null,null,null,null,12,2,0.16666666666666666,0,null,0.16666666666666666,null,null,12,1,8.3333333333333329E-2]
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[null,null,null,null,"distribution mean of X",null,null,null,null,null,null,null,null,null,null,14,1,8.3333333333333329E-2,6.9444444444444441E-3,null,0.16666666666666666,null,null,14,2,0.16666666666666666]
[null,null,null,null,"1/6*(1+2+3+4+5+6)=",3.5,null,null,null,null,null,null,null,null,null,15,3,0.25,6.9444444444444458E-3,null,0.16666666666666666,null,null,15,1,8.3333333333333329E-2]
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[null,null,null,null,"Observed mean of X",null,null,null,null,null,null,null,null,null,null,17,4,0.33333333333333331,2.7777777777777776E-2,null,0.16666666666666666,null,null,17,3,0.25]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Have cursor in BLUE cell"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"before hitting this button!"]
["roll","U[0,1]","outcome"]
[1,{"$f":"RAND()","v":0.67112009080675705},{"$f":"INT(B5*6+1)","v":5},null,null,null,null,null,null,null,null,null,null,null,null,"Results of experiments"]
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[15,0.56947413759529097,4,null,"Expected count is",null,null,null,null,null,null,null,null,null,null,11,12,0.12,2.1777777777777772E-3,null,0.16666666666666666,null,null,11,17,0.17]
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[21,0.21194510401037381,2,null,"Observed mean of X",null,null,null,null,null,null,null,null,null,null,17,17,0.17,1.1111111111111254E-5,null,0.16666666666666666,null,null,17,11,0.11]
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[27,0.8233347849228666,5,null,null,null,null,null,null,null,null,null,null,null,null,null,"std. error",{"$f":"SQRT(SUM(S9:S28)/($P$28-1))","v":2.858249576799558E-2},null,null,null,null,null,23,28,0.28000000000000003]
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{"sheet":"1000","index":3,"n_rows":1004,"n_cols":26,"rows_kept":1004,"cut":false,"hidden":false,"merged":[]}
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Have cursor in BLUE cell"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"before hitting this button!"]
["roll","U[0,1]","outcome"]
[1,{"$f":"RAND()","v":0.97278096149578175},{"$f":"INT(B5*6+1)","v":6},null,null,null,null,null,null,null,null,null,null,null,null,"Results of experiments"]
[2,{"$f":"RAND()","v":0.45892215083847121},{"$f":"INT(B6*6+1)","v":3},null,null,null,null,null,null,null,null,null,null,null,null,"estimated probability of rolling a 4:",null,null,null,null,null,null,null,null,"average",{"$f":"AVERAGE(Z9:Z508)","v":0.16558800000000024}]
[3,0.34167119367059495,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"std. error",{"$f":"STDEV(Z9:Z508)","v":1.2053914289532619E-2}]
[4,3.2838814197830746E-2,1,null,"outcome","count","rel freq.",null,null,null,null,null,null,null,null,null,"count","est. prob","sq error",null,"true"]
[5,0.77473185630612673,5,null,1,{"$f":"FREQUENCY(C5:C1004,E9:E14)","v":159},{"$f":"F9/$F$16","v":0.159},null,null,null,null,null,null,null,null,1,146,0.14599999999999999,{"$f":"(R9-U9)^2","v":4.2711111111111113E-4},null,{"$f":"1/6","v":0.16666666666666666},null,null,1,169,0.16900000000000001]
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[12,0.74099633435198864,5,null,null,{"$f":"SUM(F9:F14)","v":1000},{"$f":"SUM(G9:G14)","v":1},null,null,null,null,null,null,null,null,8,177,0.17699999999999999,1.0677777777777778E-4,null,0.16666666666666666,null,null,8,193,0.193]
[13,0.54672116898777956,4,null,null,null,null,null,null,null,null,null,null,null,null,9,184,0.184,3.0044444444444465E-4,null,0.16666666666666666,null,null,9,162,0.16200000000000001]
[14,0.30374720672913957,2,null,null,null,null,null,null,null,null,null,null,null,null,10,168,0.16800000000000001,1.7777777777778303E-6,null,0.16666666666666666,null,null,10,177,0.17699999999999999]
[15,0.64537183710228085,4,null,"Expected count is",null,null,null,null,null,null,null,null,null,null,11,172,0.17199999999999999,2.8444444444444396E-5,null,0.16666666666666666,null,null,11,172,0.17199999999999999]
[16,0.82246703105181862,5,null,"1000 * 1/6 =",{"$f":"1000*1/6","v":166.66666666666666},null,null,null,null,null,null,null,null,null,12,168,0.16800000000000001,1.7777777777778303E-6,null,0.16666666666666666,null,null,12,165,0.16500000000000001]
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[18,3.3788723016663691E-2,1,null,"distribution mean of X",null,null,null,null,null,null,null,null,null,null,14,178,0.17799999999999999,1.2844444444444446E-4,null,0.16666666666666666,null,null,14,160,0.16]
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[21,0.77383136207357184,5,null,"Observed mean of X",null,null,null,null,null,null,null,null,null,null,17,171,0.17100000000000001,1.877777777777797E-5,null,0.16666666666666666,null,null,17,182,0.182]
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[26,0.14142704611301471,1,null,null,null,null,null,null,null,null,null,null,null,null,null,"average",{"$f":"AVERAGE(R9:R28)","v":0.17104999999999998},"true =",{"$f":"1/6","v":0.16666666666666666},null,null,null,22,172,0.17199999999999999]
[27,0.24753930032781302,2,null,null,null,null,null,null,null,null,null,null,null,null,null,"std. error",{"$f":"SQRT(SUM(S9:S28)/($P$28-1))","v":1.2463044787696023E-2},null,null,null,null,null,23,177,0.17699999999999999]
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[36,0.6470970327873673,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,32,155,0.155]
[37,0.2856574228573564,2,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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[39,0.76824650209571288,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,35,169,0.16900000000000001]
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[41,0.67801086264181076,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,37,169,0.16900000000000001]
[42,0.87168453113207311,6,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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[50,0.53103189375208504,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,46,175,0.17499999999999999]
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[55,0.18812227772555346,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,51,186,0.186]
[56,0.31261882727674883,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,52,170,0.17]
[57,0.5500154476549961,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,53,148,0.14799999999999999]
[58,0.60757166317509803,4,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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[60,0.8384054578487844,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,56,157,0.157]
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[63,0.14824418764837843,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,59,182,0.182]
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[65,0.2358185910814693,2,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":0.50883231048629807},{"$f":"INT(B70*6+1)","v":4},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,62,162,0.16200000000000001]
[67,0.92587026229459468,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,63,167,0.16700000000000001]
[68,2.2057568102881508E-2,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,64,171,0.17100000000000001]
[69,6.1550247795577495E-2,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,65,155,0.155]
[70,0.48969609291620575,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,66,170,0.17]
[71,0.90623465075629861,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,67,164,0.16400000000000001]
[72,0.86007500341576471,6,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,68,163,0.16300000000000001]
[73,0.72961806743771296,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,69,175,0.17499999999999999]
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[75,0.7846808401736276,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,71,161,0.161]
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[78,0.73447535549305565,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,74,145,0.14499999999999999]
[79,0.44255871847855544,3,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,75,133,0.13300000000000001]
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[81,0.58745869067168099,4,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,77,157,0.157]
[82,0.10381602534184908,1,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,78,168,0.16800000000000001]
[83,0.29490929514480591,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,79,158,0.158]
[84,0.32258971092332278,2,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,80,169,0.16900000000000001]
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[93,0.72428087920805628,5,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"]
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[15,9.2059090911106978E-2,1,null,"Expected count is",null,null,null,null,null,null,null,null,null,null,11,1628,0.1628,1.4951111111111038E-5,null,0.16666666666666666,null,null,1,4,5,3,1,4,2,6,3,3,null,null,11,1664,0.16639999999999999]
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[18,0.77188341412321237,5,null,"distribution mean of X",null,null,null,null,null,null,null,null,null,null,14,1673,0.1673,4.0111111111112821E-7,null,0.16666666666666666,null,null,3,2,5,3,1,2,5,1,1,2,null,null,14,1606,0.16059999999999999]
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[21,0.4139606646748929,3,null,"Observed mean of X",null,null,null,null,null,null,null,null,null,null,17,1662,0.16619999999999999,2.1777777777778162E-7,null,0.16666666666666666,null,null,1,3,5,5,5,6,1,2,5,6,null,null,17,1681,0.1681]
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[27,0.71948141167132018,5,null,null,null,null,null,null,null,null,null,null,null,null,null,"std. error",{"$f":"SQRT(SUM(S9:S28)/($P$28-1))","v":3.6621982341802197E-3},null,null,null,null,null,5,1,6,6,6,5,2,4,2,3,null,null,23,1644,0.16439999999999999]
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[34,0.76665651588369133,5,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4,3,5,1,6,3,5,4,3,4,null,null,30,1620,0.16200000000000001]
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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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