{"text_format":"1","workbook":"xlsx","n_sheets":9,"sheets":["Title","Z-distribution","T-distribution","F-distribution","Chi-square distribution","Z-dist-A","T-dist-A","F-dist-A","Chi-square dist-A"],"not_rendered":{"charts":22,"images":1,"macros":1,"external_links":0,"defined_names":12,"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":"Title","index":0,"n_rows":9,"n_cols":3,"rows_kept":9,"cut":false,"hidden":false,"merged":[]}
[null,null,"Interactive Distribution Spreadsheet Tool to accompany"]
[]
[null,null,"Social Statistics in Action: A Canadian Introduction"]
[null,null,"Andrea M. Noack"]
[]
[null,null,"Oxford University Press, 2018"]
[]
[null,null,"For more information, visit: "]
[null,null,"https://www.oupcanada.com/catalog/9780199015214.html"]

{"sheet":"Z-distribution","index":1,"n_rows":21,"n_cols":8,"rows_kept":21,"cut":false,"hidden":false,"merged":[[4,1,4,2],[12,1,12,2],[20,1,20,2],[2,1,2,11],[0,1,0,11]]}
[null,"AREA UNDER THE Z-DISTRIBUTION (STANDARD NORMAL DISTRIBUTION)"]
[]
[null,"Enter a z-score in the yellow highlighted cell (or cells) to find the area under the z-distribution (the standard normal distribution) \nthat is to the left of a z-score, to the right of a z-score, or between two z-scores. "]
[]
[null,"The area to the left of:",null,null,null,null,"is:",{"$f":"'Z-dist-A'!H7","v":"← enter a z-score"}]
[]
[]
[]
[]
[]
[]
[]
[null,"The area to the right of:",null,null,null,null,"is:",{"$f":"'Z-dist-A'!H9","v":"← enter a z-score"}]
[]
[]
[]
[]
[]
[]
[]
[null,"The area between: ",null,null,"and",null,"is:",{"$f":"'Z-dist-A'!H11","v":"← enter two z-scores"}]

{"sheet":"T-distribution","index":2,"n_rows":34,"n_cols":5,"rows_kept":34,"cut":false,"hidden":false,"merged":[[2,1,2,8],[0,1,0,8]]}
[null,"AREA UNDER THE T-DISTRIBUTION"]
[]
[null,"First, enter the degrees of freedom in the green highlighted cell. \nThen, in the yellow highlighted cells, enter a t-statistic to find the corresponding p-value, or enter a p-value to find the corresponding t-statistic (critical value)."]
[]
[null,"Degrees of Freedom (df): ",null,{"$f":"IF(ISNUMBER(C5),\"\",\"   ← enter the degrees of freedom\")","v":"   ← enter the degrees of freedom"}]
[]
[null,"TWO-TAILED TEST (USE IN MOST SITUATIONS)"]
[null,"A t-statistic of :",null,"has a p-value of:    ",{"$f":"'T-dist-A'!H9","v":"← enter a t-statistic & df ↑"}]
[]
[]
[null,null,null," "]
[]
[]
[]
[]
[null,"To obtain a p-value less than: ",null,"obtain a t-statistic beyond:   ",{"$f":"'T-dist-A'!$H$11","v":"← enter a p-value & df ↑"}]
[]
[]
[]
[]
[]
[]
[]
[]
[null,"ONE-TAILED TEST (RIGHT-TAILED, USE IN RARE SITUATIONS)"]
[null,"A t-statistic of :",null,"has a p-value of:    ",{"$f":"'T-dist-A'!$H$13","v":"← enter a t-statistic & df ↑"}]
[]
[]
[null,null,null," "]
[]
[]
[]
[]
[null,"To obtain a p-value less than: ",null,"obtain a t-statistic higher than:   ",{"$f":"'T-dist-A'!$H$15","v":"← enter a p-value & df ↑"}]

{"sheet":"F-distribution","index":3,"n_rows":17,"n_cols":5,"rows_kept":17,"cut":false,"hidden":false,"merged":[[16,3,17,3],[4,3,4,4],[6,3,6,4],[2,1,2,8],[0,1,0,8]]}
[null,"AREA UNDER THE F-DISTRIBUTION "]
[]
[null,"First, enter the between group and within group degrees of freedom in the green highlighted cells. \nThen, in the yellow highlighed cells, enter an F-statistic to find the corresponding p-value, or enter a p-value to find the corresponding F-statistic (critical value)."]
[]
[null,"Between Group Degrees of Freedom (df1): ",null,{"$f":"IF(ISNUMBER(C5),\"\",\"   ← enter the between group degrees of freedom\")","v":"   ← enter the between group degrees of freedom"}]
[]
[null,"Within Group Degrees of Freedom (df2): ",null,{"$f":"IF(ISNUMBER(C7),\"\",\"   ← enter the within group degrees of freedom\")","v":"   ← enter the within group degrees of freedom"}]
[]
[null,"An F-statistic of:",null,"has a p-value of:    ",{"$f":"'F-dist-A'!H11","v":"← enter an F-statistic & df ↑"}]
[]
[]
[null,null,null," "]
[]
[]
[]
[]
[null,"To obtain a p-value less than: ",null,"  obtain an F-statistic    \n                 higher than:",{"$f":"'F-dist-A'!H13","v":"← enter a p-value & df ↑"}]

{"sheet":"Chi-square distribution","index":4,"n_rows":15,"n_cols":5,"rows_kept":15,"cut":false,"hidden":false,"merged":[[14,3,15,3],[2,1,2,8],[0,1,0,8]]}
[null,"AREA UNDER THE CHI-SQUARE DISTRIBUTION "]
[]
[null,"First, enter the degrees of freedom in the green highlighted cell. \nThen, in the yellow highlighted cells, enter a chi-square statistic to find the corresponding p-value, or enter a p-value to find the corresponding chi-square statistic (critical value)."]
[]
[null,"Degrees of Freedom (df): ",null,{"$f":"IF(ISNUMBER(C5),\"\",\"   <-enter the degrees of freedom\")","v":"   <-enter the degrees of freedom"}]
[]
[null,"A chi-square statistic of :",null,"has a p-value of:    ",{"$f":"'Chi-square dist-A'!H9","v":"← enter a chi-square statistic & df ↑"}]
[]
[]
[null,null,null," "]
[]
[]
[]
[]
[null,"To obtain a p-value less than: ",null,"obtain a chi-square statistic     \n                            higher than:   ",{"$f":"'Chi-square dist-A'!H11","v":"← enter a p-value & df ↑"}]

{"sheet":"Z-dist-A","index":5,"n_rows":816,"n_cols":10,"rows_kept":816,"cut":false,"hidden":true,"merged":[[8,1,8,2],[10,1,10,2],[2,1,2,8],[0,1,0,8],[6,1,6,2]]}
[null,"Z-DISTRIBUTION (STANDARD NORMAL DISTRIBUTION)"]
[]
[null,"Enter numbers in the yellow highlighted box (or boxes) to find the area under the z-distribution (the standard normal distribution) that is to the left of a z-score, to the right of a z-score, or between two z-scores. "]
[]
[null,"AREA UNDER THE Z-DISTRIBUTION"]
[null,null,null,null,null,null,null,null,{"$f":"IF(ISNUMBER($D$7),_xlfn.NORM.S.DIST($D$7,TRUE),\"\")","v":""},{"$f":"IF($I$6>0.999,\">99.9\",IF($I$6>0.0005,ROUND($I$6,3)*100,\"<0.1\"))","v":">99.9"}]
[null,"The area to the left of:",null,{"$f":"IF(ISNUMBER('Z-distribution'!D5),'Z-distribution'!D5,\"\")","v":""},null,null,"is:",{"$f":"IF(ISNUMBER(D7),CONCATENATE(I7,\"  or  \",J6,\"%\"),\"← enter a z-score\")","v":"← enter a z-score"},{"$f":"IF(I6>0.999,\">0.999\",IF(I6>0.0005,ROUND(I6,3),\"<0.001\"))","v":">0.999"},{"$f":"IF(ISNUMBER(D7),CONCATENATE(J6,\"% of the area under the standard normal curve is to the left of \",D7),\"___% of the area under the standard normal curve is to the left of ___\")","v":"___% of the area under the standard normal curve is to the left of ___"}]
[null,null,null,null,null,null,null,null,{"$f":"IF(ISNUMBER($D$9),1-(_xlfn.NORM.S.DIST($D$9,TRUE)),\"\")","v":""},{"$f":"IF($I$8>0.999,\">99.9\",IF($I$8>0.0005,ROUND($I$8,3)*100,\"<0.1\"))","v":">99.9"}]
[null,"The area to the right of:",null,{"$f":"IF(ISNUMBER('Z-distribution'!D13),'Z-distribution'!D13,\"\")","v":""},null,null,"is:",{"$f":"IF(ISNUMBER(D9),CONCATENATE(I9,\"  or  \",J8,\"%\"),\"← enter a z-score\")","v":"← enter a z-score"},{"$f":"IF(I8>0.999,\">0.999\",IF(I8>0.0005,ROUND(I8,3),\"<0.001\"))","v":">0.999"},{"$f":"IF(ISNUMBER(D9),CONCATENATE(J8,\"% of the area under the standard normal curve is to the right of \",D9),\"___% of the area under the standard normal curve is to the right of ___\")","v":"___% of the area under the standard normal curve is to the right of ___"}]
[]
[null,"The area between: ",null,{"$f":"IF(AND(ISNUMBER('Z-distribution'!D21),ISNUMBER('Z-distribution'!F21)),'Z-distribution'!D21,\"\")","v":""},"and",{"$f":"IF(AND(ISNUMBER('Z-distribution'!D21),ISNUMBER('Z-distribution'!F21)),'Z-distribution'!F21,\"\")","v":""},"is:",{"$f":"IF(AND(ISNUMBER(D11),ISNUMBER(F11)),CONCATENATE(I11,\"  or  \",I13,\"%\"),\"← enter two z-scores\")","v":"← enter two z-scores"},{"$f":"IF(AND(ISNUMBER(D11),ISNUMBER(F11)),H14,\"\")","v":""},{"$f":"IF(AND(ISNUMBER(D12),ISNUMBER(F12)),CONCATENATE(I13,\"% of the area under the standard normal curve is between \",D12,\" and \",F12), \"___% of the area under the standard normal curve is between ___ and ___\")","v":"___% of the area under the standard normal curve is between ___ and ___"}]
[null,null,null,{"$f":"IF(AND(ISNUMBER(D11),ISNUMBER(F11)),MIN(D11,F11),\"\")","v":""},null,{"$f":"IF(AND(ISNUMBER(D11),ISNUMBER(F11)),MAX(D11,F11),\"\")","v":""}]
[null,null,null,{"$f":"IF(AND(ISNUMBER(D11),ISNUMBER(F11)),_xlfn.NORM.S.DIST(D12,TRUE),\"\")","v":""},null,{"$f":"IF(AND(ISNUMBER(D11),ISNUMBER(F11)),1-(_xlfn.NORM.S.DIST(F12,TRUE)),\"\")","v":""},null,{"$f":"IF(AND(ISNUMBER(D11),ISNUMBER(F11)),1-$D$13-$F$13,\"\")","v":""},{"$f":"IF(D11=F11,\"0\",IF($H$13>0.999,\">99.9\",IF($H$13>0.0005,ROUND($H$13,3)*100,\"<0.1\")))","v":"0"}]
[null,null,null,null,null,null,null,{"$f":"IF(D11=F11,\"0.00\",IF(H13>0.999,\">0.999\",IF(H13>0.0005,ROUND(H13,3),\"<0.001\")))","v":"0.00"}]
[]
[null,-4,{"$f":"_xlfn.NORM.S.DIST(B16,FALSE)","v":1.3383022576488537E-4},{"$f":"IF(AND(ISNUMBER($D$7),$D$7>=B16),_xlfn.NORM.S.DIST(B16,FALSE),NA())","v":{"$error":"#N/A"}},{"$f":"IF(AND(ISNUMBER($D$9),$D$9<=B16),_xlfn.NORM.S.DIST(B16,FALSE),NA())","v":{"$error":"#N/A"}},{"$f":"IF(AND(ISNUMBER($D$12),ISNUMBER($F$12),$D$12<=B16,$F$12>=B16),_xlfn.NORM.S.DIST(B16,FALSE),NA())","v":{"$error":"#N/A"}}]
[null,{"$f":"B16+0.01","v":-3.99},{"$f":"_xlfn.NORM.S.DIST(B17,FALSE)","v":1.3928497646575994E-4},{"$f":"IF(AND(ISNUMBER($D$7),$D$7>=B17),_xlfn.NORM.S.DIST(B17,FALSE),NA())","v":{"$error":"#N/A"}},{"$f":"IF(AND(ISNUMBER($D$9),$D$9<=B17),_xlfn.NORM.S.DIST(B17,FALSE),NA())","v":{"$error":"#N/A"}},{"$f":"IF(AND(ISNUMBER($D$12),ISNUMBER($F$12),$D$12<=B17,$F$12>=B17),_xlfn.NORM.S.DIST(B17,FALSE),NA())","v":{"$error":"#N/A"}}]
[null,{"$f":"B17+0.01","v":-3.9800000000000004},1.4494756042389079E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.9700000000000006,1.5082527155051753E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.9600000000000009,1.5692563406553169E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.9500000000000011,1.6325640876624142E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.9400000000000013,1.6982559942934266E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.9300000000000015,1.7664145934756997E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.9200000000000017,1.8371249800245581E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.9100000000000019,1.9104748787459642E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.9000000000000021,1.9865547139277093E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.8900000000000023,2.0654576802322367E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.8800000000000026,2.1472798150036474E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.8700000000000028,2.2321200720009968E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.860000000000003,2.320080396569397E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.8500000000000032,2.4112658022599047E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.8400000000000034,2.5057844489085744E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.8300000000000036,2.60374772218439E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.8200000000000038,2.7052703146151688E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.8100000000000041,2.810470308099821E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.8000000000000043,2.9194692579145534E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.7900000000000045,3.0323922782199907E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.7800000000000047,3.1493681290751624E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.7700000000000049,3.2705293049636891E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.7600000000000051,3.3960121248364817E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.7500000000000053,3.5259568236743852E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.7400000000000055,3.6605076455732786E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.7300000000000058,3.7998129383531333E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.720000000000006,3.9440252496914782E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.7100000000000062,4.0933014247806934E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.7000000000000064,4.2478027055074168E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.6900000000000066,4.4076948311512151E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.6800000000000068,4.5731481405984542E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.670000000000007,4.7443376760660845E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.6600000000000072,4.9214432883288044E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
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[null,-3.6300000000000079,5.4901294735694309E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.6200000000000081,5.6927978383423592E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.6100000000000083,5.9023574492276772E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.6000000000000085,6.1190193011375347E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.5900000000000087,6.3429999753873722E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.580000000000009,6.5745217565465542E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.5700000000000092,6.8138127506686967E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.5600000000000094,7.06110700488013E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.5500000000000096,7.3166446283028552E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.5400000000000098,7.5806719142868396E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.53000000000001,7.8534414639244135E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.5200000000000102,8.1352123108177892E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.5100000000000104,8.4262500470687124E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
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[null,-3.4900000000000109,9.0372221127749065E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.4800000000000111,9.3577215692744388E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.4700000000000113,9.6886184291980818E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.4600000000000115,1.0030213007341975E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.4500000000000117,1.0382812956613689E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.4400000000000119,1.0746733401536908E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.4300000000000122,1.1122297072655193E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.4200000000000124,1.1509834441784353E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.4100000000000126,1.1909683858060669E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.4000000000000128,1.2322191684729651E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.390000000000013,1.2747712436617772E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.3800000000000132,1.3186608918226823E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.3700000000000134,1.3639252362388429E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.3600000000000136,1.4106022569413184E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.3500000000000139,{"$f":"_xlfn.NORM.S.DIST(B81,FALSE)","v":1.4587308046666787E-3},{"$f":"IF(AND(ISNUMBER($D$7),$D$7>=B81),_xlfn.NORM.S.DIST(B81,FALSE),NA())","v":{"$error":"#N/A"}},{"$f":"IF(AND(ISNUMBER($D$9),$D$9<=B81),_xlfn.NORM.S.DIST(B81,FALSE),NA())","v":{"$error":"#N/A"}},{"$f":"IF(AND(ISNUMBER($D$12),ISNUMBER($F$12),$D$12<=B81,$F$12>=B81),_xlfn.NORM.S.DIST(B81,FALSE),NA())","v":{"$error":"#N/A"}}]
[null,{"$f":"B81+0.01","v":-3.3400000000000141},1.5083506148502364E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
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[null,-3.3100000000000147,1.6665685395744997E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.3000000000000149,1.7225689390535956E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.2900000000000151,1.7802730399617901E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.2800000000000153,1.8397261808241862E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
[null,-3.2700000000000156,1.900974683165984E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"}]
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[null,"T DISTRIBUTION"]
[]
[]
[]
[null,"AREA UNDER THE T-DISTRIBUTION",null,null,null,"←","↑"]
[]
[null,"Degrees of Freedom:",null,{"$f":"IF(ISNUMBER('T-distribution'!C5),'T-distribution'!C5)","v":false},null,null,null,null,null,"±"]
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[null,"A t-statistic of :",null,{"$f":"IF(ISNUMBER('T-distribution'!C8),'T-distribution'!C8)","v":false},null,null,"has a p-value of:   ",{"$f":"IF(AND(ISNUMBER($D$7),ISNUMBER($D$9)),I9,IF(ISNUMBER($D$7),\"← enter a t-statistic\",IF(ISNUMBER($D$9),\"↑ enter the df\",\"← enter a t-statistic & df ↑\")))","v":"← enter a t-statistic & df ↑"},{"$f":"IF(D9=0,100,IF(I8>0.999,\">0.999\",IF(I8>0.0005,ROUND(I8,3),\"<0.001\")))","v":{"$error":"#NUM!"}},{"$f":"IF(AND(ISNUMBER($D$9),ISNUMBER($D$7)),CONCATENATE(J8,\"% of the area under the t-distribution is beyond ±\",K8),\"___% of the area under the t-distribution is beyond ± ___\")","v":"___% of the area under the t-distribution is beyond ± ___"}]
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[null,"To obtain a p-value less than: ",null,{"$f":"IF(ISNUMBER('T-distribution'!C16),'T-distribution'!C16)","v":false},null,null,"obtain a t-statistic higher than:   ",{"$f":"IF(AND(ISNUMBER($D$7),ISNUMBER($D$11)),CONCATENATE(\"±\",I11),IF(ISNUMBER($D$7),\"← enter a p-value\",IF(ISNUMBER($D$11),\"↑ enter the df\",\"← enter a p-value & df ↑\")))","v":"← enter a p-value & df ↑"},{"$f":"IF(I10<0.005,\"0.001\",ROUND(I10,3))","v":{"$error":"#NUM!"}},{"$f":"IF(AND(ISNUMBER($D$7),ISNUMBER($D$11)),CONCATENATE(J10,\"% of the area under the t-distribution is beyond ±\",I11),\"___% of the area under the t-distribution is beyond ±___\")","v":"___% of the area under the t-distribution is beyond ±___"}]
[null,null,null,null,{"$f":"IF(ISNUMBER(D11),MIN(G12:H12))","v":false},{"$f":"IF(ISNUMBER(D11),MAX(G12:H12))","v":false},{"$f":"IF(ISNUMBER(D11),I10)","v":false},{"$f":"IF(ISNUMBER(D11),-1*G12)","v":false},{"$f":"_xlfn.T.DIST.RT($D$13,$D$7)","v":{"$error":"#NUM!"}},{"$f":"IF(I12>0.999,\">99.9\",IF(I12>0.0005,ROUND(I12,3)*100,\"<0.1\"))","v":{"$error":"#NUM!"}},{"$f":"ROUND(D13,3)","v":0}]
[null,"A t-statistic of :",null,{"$f":"IF(ISNUMBER('T-distribution'!C26),'T-distribution'!C26)","v":false},null,null,"has a p-value of:   ",{"$f":"IF(AND(ISNUMBER($D$7),ISNUMBER($D$13)),I13,IF(ISNUMBER($D$7),\"← enter a t-statistic\",IF(ISNUMBER($D$13),\"↑ enter the df\",\"← enter a t-statistic & df ↑\")))","v":"← enter a t-statistic & df ↑"},{"$f":"IF(I12>0.999,\">0.999\",IF(I12>0.0005,ROUND(I12,3),\"<0.001\"))","v":{"$error":"#NUM!"}},{"$f":"IF(AND(ISNUMBER($D$13),ISNUMBER($D$7)),CONCATENATE(J12,\"% of the area under the t-distribution is to the right of \",K12),\"___% of the area under the t-distribution is to the right of ___\")","v":"___% of the area under the t-distribution is to the right of ___"}]
[null,null,null,{"$f":"IF(ISNUMBER('Z-distribution'!D16),'Z-distribution'!D16,\"\")","v":""},null,null,null,null,{"$f":"_xlfn.T.INV(D15,D7)*-1","v":{"$error":"#NUM!"}},{"$f":"ROUND(D15*100,1)","v":0}]
[null,"To obtain a p-value less than: ",null,{"$f":"IF(ISNUMBER('T-distribution'!C34),'T-distribution'!C34)","v":false},null,null,"obtain a t- statistic higher than:   ",{"$f":"IF(AND(ISNUMBER($D$7),ISNUMBER($D$15)),I15,IF(ISNUMBER($D$7),\"← enter a p-value\",IF(ISNUMBER($D$15),\"↑ enter the df\",\"← enter a p-value & df ↑\")))","v":"← enter a p-value & df ↑"},{"$f":"ROUND(I14,3)","v":{"$error":"#NUM!"}},{"$f":"IF(AND(ISNUMBER($D$7),ISNUMBER($D$15)),CONCATENATE(J14,\"% of the area under the t-distribution is to the right of \",I15),\"___% of the area under the t-distribution is to the right of ___\")","v":"___% of the area under the t-distribution is to the right of ___"}]
[]
[]
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[null,{"$f":"B18+0.01","v":-3.99},{"$f":"IF(ISNUMBER($D$7),_xlfn.T.DIST(B19,$D$7,FALSE),_xlfn.T.DIST(B19,20,FALSE))","v":8.4188826392510383E-4},{"$f":"IF(AND(ISNUMBER($D$7),ISNUMBER($D$9),OR($B19<=$E$10,$B19>$F$10)),C19,NA())","v":{"$error":"#N/A"}},{"$f":"IF(AND(ISNUMBER($D$7),ISNUMBER($D$11),OR($B19<=$E$12,$B19>$F$12)),C19,NA())","v":{"$error":"#N/A"}},{"$f":"IF(AND(ISNUMBER($D$7),ISNUMBER($D$13),B19>=$D$13),C19,NA())","v":{"$error":"#N/A"}},{"$f":"IF(AND(ISNUMBER($D$7),ISNUMBER($D$15),$B19>$I$14),C19,NA())","v":{"$error":"#NUM!"}}]
[null,{"$f":"B19+0.01","v":-3.9800000000000004},8.6175475906033418E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.9700000000000006,8.8208405619689912E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.9600000000000009,9.028866481519543E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.9500000000000011,9.2417325431204313E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
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[null,-3.9200000000000017,9.9104784511855814E-4,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.9100000000000019,1.0143823918686617E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.9000000000000021,1.0382581078689957E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.8900000000000023,1.0626871687265732E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
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[null,-3.7900000000000045,1.3402825575612792E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.7800000000000047,1.3716799275397768E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.7700000000000049,1.4037984885621644E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.7600000000000051,1.4366542052965427E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.7500000000000053,1.4702633736244056E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.7400000000000055,1.5046426267418009E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.7300000000000058,1.5398089413467448E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.720000000000006,1.575779643913229E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.7100000000000062,1.6125724170520455E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.7000000000000064,1.6502053059587627E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.6900000000000066,1.6886967249489179E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.6800000000000068,1.7280654640807198E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.670000000000007,1.7683306958652105E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.6600000000000072,1.8095119820641184E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.6500000000000075,1.8516292805752625E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.6400000000000077,1.8947029524056045E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.6300000000000079,1.9387537687317576E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.6200000000000081,1.9838029180478649E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.6100000000000083,2.0298720134006702E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.6000000000000085,2.0769830997114697E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.5900000000000087,2.1251586611846316E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.580000000000009,2.174421628802427E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.5700000000000092,2.2247953879055132E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.5600000000000094,2.2763037858587807E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.5500000000000096,2.3289711398018155E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.5400000000000098,2.3828222444834363E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.53000000000001,2.437882380179523E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.5200000000000102,2.4941773206933276E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.5100000000000104,2.5517333414374192E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.5000000000000107,2.6105772275962814E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.4900000000000109,2.6707362823684996E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.4800000000000111,2.7322383352873869E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.4700000000000113,2.795111750618856E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.4600000000000115,2.8593854358351894E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.4500000000000117,2.9250888501632811E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.4400000000000119,2.9922520132058105E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.4300000000000122,3.0609055136337862E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.4200000000000124,3.1310805179486758E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.4100000000000126,3.2028087793122837E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.4000000000000128,3.2761226464424554E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.390000000000013,3.3510550725725091E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.3800000000000132,3.4276396244722709E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.3700000000000134,3.5059104915283168E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.3600000000000136,3.5859024948810664E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.3500000000000139,{"$f":"IF(ISNUMBER($D$7),_xlfn.T.DIST(B83,$D$7,FALSE),_xlfn.T.DIST(B83,20,FALSE))","v":3.6676510966161383E-3},{"$f":"IF(AND(ISNUMBER($D$7),ISNUMBER($D$9),OR($B83<=$E$10,$B83>$F$10)),C83,NA())","v":{"$error":"#N/A"}},{"$f":"IF(AND(ISNUMBER($D$7),ISNUMBER($D$11),OR($B83<=$E$12,$B83>$F$12)),C83,NA())","v":{"$error":"#N/A"}},{"$f":"IF(AND(ISNUMBER($D$7),ISNUMBER($D$13),B83>=$D$13),C83,NA())","v":{"$error":"#N/A"}},{"$f":"IF(AND(ISNUMBER($D$7),ISNUMBER($D$15),$B83>$I$14),C83,NA())","v":{"$error":"#NUM!"}}]
[null,{"$f":"B83+0.01","v":-3.3400000000000141},3.7511924090073059E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
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[null,-3.3200000000000145,3.9238009215896031E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.3100000000000147,4.0129436811200377E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.3000000000000149,4.1040302887849541E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.2900000000000151,4.1971002480426017E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.2800000000000153,4.2921937689120952E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.2700000000000156,4.3893517774904016E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.2600000000000158,4.4886159254941306E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.250000000000016,4.5900285998223293E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.2400000000000162,4.693632932135876E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.2300000000000164,4.7994728084493456E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
[null,-3.2200000000000166,4.907592878730496E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
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[null,-3.06000000000002,6.9871642313532965E-3,{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#N/A"},{"$error":"#NUM!"}]
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{"sheet":"F-dist-A","index":7,"n_rows":917,"n_cols":11,"rows_kept":917,"cut":false,"hidden":true,"merged":[[0,1,0,8],[2,1,2,8],[10,1,10,2]]}
[null,"F DISTRIBUTION"]
[]
[]
[]
[null,"AREA UNDER THE F DISTRIBUTION"]
[]
[null,"Degrees of Freedom 1:",null,{"$f":"IF(ISNUMBER('F-distribution'!C5),'F-distribution'!C5)","v":false}]
[]
[null,"Degrees of Freedom 2:",null,{"$f":"IF(ISNUMBER('F-distribution'!C7),'F-distribution'!C7)","v":false}]
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[null,"An F-statistic of :",null,{"$f":"IF(ISNUMBER('F-distribution'!C9),'F-distribution'!C9)","v":false},null,null,"has a p-value of:   ",{"$f":"IF(AND(ISNUMBER($D$7),ISNUMBER($D$9),ISNUMBER($D$11)),I11,IF(AND(ISNUMBER($D$7),ISNUMBER($D$9)),\"← enter an F-statistic\",IF(ISNUMBER($D$11),\"↑ enter the df\",\"← enter an F-statistic & df ↑\")))","v":"← enter an F-statistic & df ↑"},{"$f":"IF(I10>0.999,\">0.999\",IF(I10>0.0005,ROUND(I10,3),\"<0.001\"))","v":{"$error":"#NUM!"}},{"$f":"IF(AND(ISNUMBER($D$11),ISNUMBER($D$7),ISNUMBER($D$9)),CONCATENATE(J10,\"% of the area under the F distribution is to the right of \",K10),\"___% of the area under the F distribution is to the right of ___\")","v":"___% of the area under the F distribution is to the right of ___"}]
[null,null,null,{"$f":"IF(ISNUMBER('Z-distribution'!D12),'Z-distribution'!D12,\"\")","v":""},null,null,null,null,{"$f":"_xlfn.F.INV.RT($D$13,$D$7,$D$9)","v":{"$error":"#NUM!"}},{"$f":"ROUND(D13*100,1)","v":0},{"$f":"IF(H13<0.0005,\"0.000\",ROUND(D13,3))","v":0}]
[null,"To obtain a p-value less than: ",null,{"$f":"IF(ISNUMBER('F-distribution'!C17),'F-distribution'!C17)","v":false},null,null,"obtain an F-statistic higher than:   ",{"$f":"IF(AND(ISNUMBER($D$7),ISNUMBER($D$9),ISNUMBER($D$13)),ROUND(I12,3),IF(AND(ISNUMBER($D$7),ISNUMBER($D$9)),\"← enter a p-value\",IF(ISNUMBER($D$13),\"↑ enter the df\",\"← enter a p-value & df ↑\")))","v":"← enter a p-value & df ↑"},{"$f":"IF(I12<0.0005,\"0.000\",ROUND(I12,3))","v":{"$error":"#NUM!"}},{"$f":"IF(AND(ISNUMBER($D$7),ISNUMBER($D$9),ISNUMBER($D$13)),CONCATENATE(J12,\"% of the area under the F distribution is to the right of \",I13),\"___% of the area under the F distribution is to the right of ___\")","v":"___% of the area under the F distribution is to the right of ___"}]
[]
[]
[]
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[null,2.600000000000001,5.8239624000738177E-2,{"$error":"#N/A"},{"$error":"#NUM!"},null,null,{"$f":"(10*H42)","v":0},{"$f":"(10*I42)+1","v":61}]
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{"sheet":"Chi-square dist-A","index":8,"n_rows":915,"n_cols":11,"rows_kept":915,"cut":false,"hidden":true,"merged":[[0,1,0,8],[2,1,2,8],[8,1,8,2]]}
[null,"CHI-SQUARE DISTRIBUTION"]
[]
[]
[]
[null,"AREA UNDER THE CHI-SQUARE DISTRIBUTION"]
[]
[null,"Degrees of Freedom:",null,{"$f":"IF(ISNUMBER('Chi-square distribution'!C5),'Chi-square distribution'!C5)","v":false}]
[null,null,null,null,null,null,null,null,{"$f":"_xlfn.CHISQ.DIST.RT($D$9,$D$7)","v":{"$error":"#NUM!"}},{"$f":"IF(I8>0.999,\">99.9\",IF(I8>0.0005,ROUND(I8,3)*100,\"<0.1\"))","v":{"$error":"#NUM!"}},{"$f":"IF(D9<0.0005,\"0.000\",ROUND(D9,3))","v":0}]
[null,"A chi-square statistic of :",null,{"$f":"IF(ISNUMBER('Chi-square distribution'!C7),'Chi-square distribution'!C7)","v":false},null,null,"has a p-value of:   ",{"$f":"IF(AND(ISNUMBER($D$7),ISNUMBER($D$9)),I9,IF(ISNUMBER($D$7),\"← enter a chi-square statistic\",IF(ISNUMBER($D$9),\"↑ enter the df\",\"← enter a chi-square statistic & df ↑\")))","v":"← enter a chi-square statistic & df ↑"},{"$f":"IF(I8>0.999,\">0.999\",IF(I8>0.0005,ROUND(I8,3),\"<0.001\"))","v":{"$error":"#NUM!"}},{"$f":"IF(AND(ISNUMBER($D$9),ISNUMBER($D$7)),CONCATENATE(J8,\"% of the area under the chi-square distribution is to the right of \",K8),\"___% of the area under the chi-square distribution is to the right of ___\")","v":"___% of the area under the chi-square distribution is to the right of ___"}]
[null,null,null,{"$f":"IF(ISNUMBER('Z-distribution'!D12),'Z-distribution'!D12,\"\")","v":""},null,null,null,null,{"$f":"_xlfn.CHISQ.INV.RT(D11,D7)","v":{"$error":"#NUM!"}},{"$f":"IF(D11>0.999,\">99.9\",IF(D11>=0.0005,ROUND(D11*100,1),\"<0.1\"))","v":">99.9"}]
[null,"To obtain a p-value less than: ",null,{"$f":"IF(ISNUMBER('Chi-square distribution'!C15),'Chi-square distribution'!C15)","v":false},null,null,"obtain a chi-square statistic higher than:   ",{"$f":"IF(AND(ISNUMBER($D$7),ISNUMBER($D$11)),I11,IF(ISNUMBER($D$7),\"← enter a p-value\",IF(ISNUMBER($D$11),\"↑ enter the df\",\"← enter a p-value & df ↑\")))","v":"← enter a p-value & df ↑"},{"$f":"IF(I10<0.005,\"0.000\",ROUND(I10,3))","v":{"$error":"#NUM!"}},{"$f":"IF(AND(ISNUMBER($D$7),ISNUMBER($D$11)),CONCATENATE(J10,\"% of the area under the chi-square distribution is to the right of \",I11),\"___% of the area under the chi-square distribution is to the right of ___\")","v":"___% of the area under the chi-square distribution is to the right of ___"}]
[]
[]
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