{"text_format":"2","workbook":"xlsx","n_sheets":5,"sheets":["วิธีการใช้","กรอกข้อมูล","ผลวิเคราะห์.01","ผลวิเคราะห์.05","T-table"],"not_rendered":{"charts":0,"images":0,"macros":0,"external_links":1,"defined_names":2,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"run_cost":"one","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":"วิธีการใช้","index":0,"n_rows":19,"n_cols":2,"rows_kept":19,"cut":false,"hidden":false,"merged":[[12,1,12,7],[2,1,2,7],[3,1,3,7],[6,1,6,7],[10,1,10,7],[11,1,11,7],[4,1,4,7],[5,1,5,7],[17,1,17,7],[18,1,18,7],[19,1,19,7],[20,1,20,7],[13,1,13,7],[14,1,14,7],[15,1,15,7],[16,1,16,7]]}
[" "]
[]
[null,"โปรแกรมช่วยทดสอบสมมติฐานคะแนนสอบกับเกณฑ์ด้วยการทดสอบที\nกรณีกลุ่มตัวอย่าง 1 กลุ่ม (t-test one sample) "]
[null,"ชุดโปรแกรมช่วยการวิเคราะห์งานวิจัยทางการศึกษา"]
[null,"พัฒนาโดย...นายปกรณ์  ประจันบาน มหาวิทยาลัยนเรศวร, 2541"]
[null,"เพิ่มเติมโดย...นายศักดิ์สิทธิ์ วัชรารัตน์ วิทยาลัยสารพัดช่างพิษณุโลก สำนักงานคณะกรรมการการอาชีวศึกษา, 2552"]
[null,"email: saksit2500@gmail.com; saksit2500@hotmail.com; saksit2500@yahoo.com"]
[]
[]
[null,"คำแนะนำในการใช้งาน"]
[null,"               เนื่องจากงานวิจัยทางการศึกษาบางกรณี ต้องมีการวิเคราะห์ข้อมูลทดสอบค่าที เพื่อเปรียบเทียบระหว่างค่าเฉลี่ยของคะแนนสอบกับเกณฑ์ที่ตั้งไว้ แล้วจึงแปลผลและรายงานผลการวิจัยในรูปของตาราง"]
[null,"               ดังนั้นโปรแกรมช่วยทดสอบสมมติฐานคะแนนสอบหลังเรียนกับเกณฑ์ด้วยการทดสอบที กรณีกลุ่มตัวอย่าง 1 กลุ่ม (t-test one sample) นี้ จะช่วยวิเคราะห์ข้อมูลที่ได้จากการเก็บรวบรวมข้อมูลจากกลุ่มตัวอย่าง 1 กลุ่ม ณ ระดับความเชื่อมั่นที่ 95 % หรือระดับความเชื่อมั่นที่ 99 % โดยมีขั้นตอนการใช้ ดังต่อไปนี้ "]
[null,"               1. ที่แผ่นงานกรอกข้อมูล ให้กรอกคะแนนในคอลัมน์คะแนนสอบหลังเรียนจนครบทุกคน โดยได้จัดเตรียมไว้ให้จำนวนตั้งแต่ 1-1,000 คน"]
[null,"               2. ที่แผ่นงานกรอกข้อมูล ให้กรอกคะแนนเต็มของการทดสอบที่คอลัมน์ L6"]
[null,"               3. ที่แผ่นงานกรอกข้อมูล ให้กรอกเกณฑ์ร้อยละของคะแนนที่ต้องการเปรียบเทียบที่คอลัมน์ L7"]
[null,"               4. เมื่อกรอกข้อมูลเสร็จสิ้นแล้ว สามารถตรวจสอบผลได้ที่แผ่นงานผลวิเคราะห์.01 (ระดับความเชื่อมั่นที่ 99 %)  และแผ่นงานผลวิเคราะห์.05 (ระดับความเชื่อมั่นที่ 95 %) "]
[null,"               5. กลุ่มตัวอย่างมีจำนวนมากพอ หมายถึงกลุ่มตัวอย่าง ตั้งแต่จำนวน 30 คนขึ้นไป "]
[null,"               6. เมื่อต้องการนำตารางไปจัดทำรายงาน ให้เลือกข้อความและตาราง แล้วคัดลอกไปวางในเวิร์ด "]
[null,"               7. ให้บันทึกเป็นแฟ้มข้อมูลในชื่อใหม่ตามต้องการ "]

{"sheet":"กรอกข้อมูล","index":1,"n_rows":1119,"n_cols":22,"rows_kept":1119,"cut":false,"hidden":false,"merged":[[1,0,2,0],[0,0,0,1],[1011,11,1014,12],[1011,13,1011,17],[1011,18,1011,22],[1012,13,1014,13],[1012,14,1014,14],[1012,15,1014,16],[1012,17,1014,18],[1012,19,1012,22],[1013,19,1013,22],[1014,19,1014,20],[1014,21,1014,22],[8,14,8,19],[9,14,9,19],[10,14,10,19],[1015,11,1015,12],[1015,15,1015,16],[1015,17,1015,18],[1015,19,1015,20],[1015,21,1015,22],[1017,11,1020,12],[1017,13,1017,17],[1017,18,1017,22],[1018,13,1020,13],[1018,14,1020,14],[1018,15,1020,16],[1018,17,1020,18],[1018,19,1018,22],[1019,19,1019,22],[1020,19,1020,20],[1020,21,1020,22],[1021,11,1021,12],[1021,15,1021,16],[1021,17,1021,18],[1021,19,1021,20],[1021,21,1021,22],[16,14,16,19],[17,14,17,19],[18,14,18,19],[11,14,11,19],[12,14,12,19],[13,14,13,19],[14,14,14,19],[15,14,15,19]]}
["กรอกข้อมูลคะแนนทดสอบ"]
["คนที่","คะแนน"]
[null,"หลังเรียน",{"$nulls":4},"<== ให้พิมพ์เรื่องที่ศึกษาวิจัยลงในเซลล์ B3"]
[1,19,{"$f":"COUNT(B4)","v":1}]
[2,27,{"$f":"COUNT(B5)","v":1},{"$nulls":4},"โปรดกรอกข้อมูลคะแนนและร้อยละที่ท่านทดสอบ ในช่องด้านล่างนี้",{"$nulls":6},"ตัวอย่างการกรอกข้อมูล เมื่อกำหนดเกณฑ์ค่าคงที่"]
[3,33,1,{"$nulls":4},"คะแนนเต็มของการทดสอบ",null,null,null,50,"คะแนน",null,"คะแนนเต็มของการทดสอบ",null,null,null,100,"คะแนน"]
[4,26,1,{"$nulls":4},"ร้อยละของคะแนนเกณฑ์ที่ต้องการทดสอบ ",null,null,null,70,"%",null,"ร้อยละของคะแนนเกณฑ์ที่ต้องการทดสอบ ",null,null,null,87.8,"%"]
[5,21,1,{"$nulls":8},"Ý",{"$nulls":6},"Ý"]
[6,30,1,{"$nulls":11},"กรณีใช้เกณฑ์ที่ทดสอบเป็นค่าคงที่ใด ๆ ให้ปรับใช้ดังนี้"]
[7,35,1,{"$nulls":11},"1. ให้พิมพ์คะแนนเต็มเป็น 100 คะแนนในเซลล์ L6"]
[8,22,1,{"$nulls":11},"2. ให้พิมพ์ค่าคงที่ลงในช่องร้อยละของเซลล์ L7"]
[9,25,1,{"$nulls":11},"ตัวอย่าง เกณฑ์ทัศนคติที่นักศึกษามีต่อครูวิทยาลัยครูอุตรดิตถ์"]
[10,20,1,{"$nulls":11},"               เท่ากับ 87.80 คะแนน (จากมาตรวัดระหว่าง 23-115)"]
[11,38,1,{"$nulls":11},"               ให้พิมพ์ 100 ลงในเซลล์ L6 และ 87.80 ลงในเซลล์ L7 "]
[12,24,1,{"$nulls":11},"ที่มา: ระพินทร์ โพธิ์ศรี.2523. รายงานวิจัยเรื่องการศึกษาเจตคติของ"]
[13,33,1,{"$nulls":11},"          นักศึกษาครูที่มีต่อสถาบันการฝึกหัดครูและอาชีพครู. อุตรดิตถ์: "]
[14,20,1,{"$nulls":11},"          แผนกเอกสารการพิมพ์วิทยาลัยครูอุตรดิตถ์. หน้า 30. อ้างถึงใน   "]
[15,18,1,{"$nulls":11},"         ระพินทร์ โพธิ์ศรี.2549.สถิติเพื่อการวิจัย.สำนักพิมพ์แห่ง"]
[16,34,1,{"$nulls":11},"         จุฬาลงกรณ์มหาวิทยาลัย. หน้า 80. "]
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["n",{"$f":"COUNT(B4:B1003)","v":31},"df =",{"$f":"B1004-1","v":30},"t-test =",{"$f":"(B1006-D1006)/B1008","v":-8.5099407734369095},{"$f":"ABS(F1004)","v":8.5099407734369095}]
["รวม",{"$f":"SUM(B4:B1003)","v":797},null,"Mean of  criterion","Sig 1 tailed",{"$f":"TDIST(ABS(G1004),D1004,1)","v":8.5042900637559024E-10},{"$f":"IF(F1004<0,1,TDIST(ABS(F1004),D1004,1))","v":1},"กลุ่มตัวอย่างอย่างต่ำ 25 คนขึ้นไป"]
["เฉลี่ย",{"$f":"AVERAGE(B4:B1003)","v":25.70967741935484},{"$f":"B1006-D1006","v":-9.2903225806451601},{"$f":"L7*L6/100","v":35},"Sig 2 tailed",{"$f":"TDIST(ABS(G1004),D1004,2)","v":1.7008580127511805E-9},{"$f":"IF(F1004<0,1,TDIST(ABS(F1004),D1004,2))","v":1},"ที่มา: ระพินทร์ โพธิ์ศรี,สถิติเพื่อการวิจัย (ปรับมาจาก An Introduction to Mathematical Statistic and Its Application (pp. 579-580) by R.J. Larsen & M.L. Marx, 1986, New Jersy: Pretice-hall."]
["SD",{"$f":"STDEV(B4:B1003)","v":6.07834159612141},null,null,"Sig 1 tailed",{"$f":"IF(F1005<=0.01,\"**\",\"\")","v":"**"},{"$f":"IF(F1005<=0.05,\"*\",\"\")","v":"*"}]
["SE",{"$f":"B1007/SQRT(B1004)","v":1.0917023781932949},null,null,"Sig 2 tailed",{"$f":"IF(F1006<=0.01,\"**\",\"\")","v":"**"},{"$f":"IF(F1006<=0.05,\"*\",\"\")","v":"*"}]
["t-table.05",{"$f":"TINV(0.05,D1004)","v":2.0422724563012378},null,null,null,0.01,0.05,{"$nulls":4},{"$f":"IF(F1005<=0.01,\"สูงกว่าเกณฑ์อย่างมีนัยสำคัญทางสถิติที่ระดับ .01\",\"ไม่สูงกว่าเกณฑ์\")","v":"สูงกว่าเกณฑ์อย่างมีนัยสำคัญทางสถิติที่ระดับ .01"}]
[null,{"$f":"TDIST(ABS(B1009),D1004,2)","v":4.9999999999999885E-2},{"$nulls":9},{"$f":"IF(F1005<=0.05,\"สูงกว่าเกณฑ์อย่างมีนัยสำคัญทางสถิติที่ระดับ .05\",\"ไม่สูงกว่าเกณฑ์\")","v":"สูงกว่าเกณฑ์อย่างมีนัยสำคัญทางสถิติที่ระดับ .05"}]
["t-table.01",{"$f":"TINV(0.01,D1004)","v":2.7499956535672259}]
[null,{"$f":"TDIST(ABS(B1011),D1004,2)","v":9.9999999999999985E-3},null,null,"upper","t-test.01/2","df","lower","df","upper",null,null,null,"Test Value =",{"$nulls":4},{"$f":"$D$1006","v":35}]
["t-test.05/2","df","lower","df",{"$f":"($B$1006-$D$1006)+($A1014*$B$1008)","v":4.5810661771544829},63.657400000000003,1,{"$f":"($B$1006-$D$1006)-($F1013*$B$1008)","v":-78.785257550247024},1,{"$f":"($B$1006-$D$1006)+($F1013*$B$1008)","v":60.204612388956697},null,null,null,"t","df","Sig.(2-tailed)",null,"Mean Difference",null,0.99]
[12.706200000000001,1,{"$f":"($B$1006-$D$1006)-($A1014*$B$1008)","v":-23.161711338444803},1,{"$f":"($B$1006-$D$1006)+($A1015*$B$1008)","v":-4.5930547579928707},9.9247999999999994,2,{"$f":"($B$1006-$D$1006)-($F1014*$B$1008)","v":-20.125250343737974},2,{"$f":"($B$1006-$D$1006)+($F1014*$B$1008)","v":1.5446051824476523},{"$nulls":9},"Confidence Interval of the Difference"]
[4.3026999999999997,2,{"$f":"($B$1006-$D$1006)-($A1015*$B$1008)","v":-13.98759040329745},2,-5.8160889322828186,5.8409000000000004,3,-15.666847001434377,3,-2.9137981598559435,{"$nulls":9},"Lower",null,"Upper"]
[3.1823999999999999,3,-12.764556229007502,3,-6.2593200978292955,4.6040999999999999,4,-14.316629500084908,4,-4.2640156612054119,null,{"$f":"$B$3","v":"หลังเรียน"},null,{"$f":"$F$1004","v":-8.5099407734369095},{"$f":"$D$1004","v":30},{"$f":"$F$1006","v":1.7008580127511805E-9},null,{"$f":"$C$1006","v":-9.2903225806451601},null,{"$f":"$H$1118","v":-12.292504120676721},null,{"$f":"$J$1118","v":-6.2881410406135991}]
[2.7764000000000002,4,-12.321325063461025,4,-6.4839924472614765,4.0321999999999996,5,-13.692284909996163,5,-4.8883602512941575]
[2.5706000000000002,5,-12.096652714028844,5,-6.6190360314439873,3.7073999999999998,6,-13.33769997755898,6,-5.2429451837313392,null,null,null,"Test Value =",{"$nulls":4},{"$f":"$D$1006","v":35}]
[2.4468999999999999,6,-11.961609129846334,6,-6.7088831371692947,3.4994999999999998,7,-13.110735053132595,7,-5.469910108157725,null,null,null,"t","df","Sig.(2-tailed)",null,"Mean Difference",null,0.95]
[2.3645999999999998,7,-11.871762024121026,7,-6.7728568965314224,3.3553999999999999,8,-12.953420740434941,8,-5.627224420855379,{"$nulls":9},"Confidence Interval of the Difference"]
[2.306,8,-11.807788264758898,8,-6.8206734606962884,3.2498,9,-12.838136969297729,9,-5.7425081919925907,{"$nulls":9},"Lower",null,"Upper"]
[2.2622,9,-11.759971700594033,9,-6.8579005117926801,3.1692999999999998,10,-12.75025492785317,10,-5.8303902334371509,null,{"$f":"$B$3","v":"หลังเรียน"},null,{"$f":"$F$1004","v":-8.5099407734369095},{"$f":"$D$1004","v":30},{"$f":"$F$1006","v":1.7008580127511805E-9},null,{"$f":"$C$1006","v":-9.2903225806451601},null,{"$f":"$C$1119","v":-11.519906347629327},null,{"$f":"$E$1118","v":-7.063795580319935}]
[2.2281,10,-11.72274464949764,10,-6.8874856462417178,3.1057999999999999,11,-12.680931826837895,11,-5.8997133344524251]
[2.2010000000000001,11,-11.693159515048603,11,-6.9117214390376098,3.0545,12,-12.62492749483658,12,-5.955717666453741]
[2.1787999999999998,12,-11.66892372225271,12,-6.9318087627963658,3.0123000000000002,13,-12.578857654476822,13,-6.001787506813498]
[2.1604000000000001,13,-11.648836398493955,13,-6.9488393198961811,2.9767999999999999,14,-12.54010222005096,14,-6.0405429412393605]
[2.1448,14,-11.63180584139414,14,-6.9633589615261524,2.9466999999999999,15,-12.507241978467341,15,-6.0734031828229789]
[2.1315,15,-11.617286199764168,15,-6.9760227091131943,2.9207999999999998,16,-12.478966886872136,16,-6.1016782744181848]
[2.1198999999999999,16,-11.604622452177125,16,-6.9870489031329468,2.8982000000000001,17,-12.454294413124968,17,-6.1263507481653523]
[2.1097999999999999,17,-11.593596258157373,17,-6.9967650542988666,2.8784000000000001,18,-12.432678706036739,18,-6.14796645525358]
[2.1009000000000002,18,-11.583880106991455,18,-7.0053895030865938,2.8609,19,-12.413573914418357,19,-6.1670712468719628]
[2.093,19,-11.575255658203726,19,-7.0130314197339469,2.8452999999999999,20,-12.396543357318542,20,-6.1841018039717781]
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["ผลการวิเคราะห์ข้อมูล กลุ่มตัวอย่าง 1 กลุ่ม และไม่ทราบค่าความแปรปรวน โดยมีสมมติฐาน ดังนี้"]
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[null,null,"t","df","Sig.(2-tailed)",null,"Mean Difference",null,0.99]
[{"$nulls":8},"Confidence Interval of the Difference"]
[{"$nulls":8},"Lower",null,"Upper"]
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["ตาราง.....","ค่าเฉลี่ย  ส่วนเบี่ยงเบนมาตรฐาน ค่าสถิติทดสอบที และระดับนัยสำคัญทางสถิติ"]
["                 ในการทดสอบเปรียบเทียบเกณฑ์ร้อยละ",{"$nulls":4},{"$f":"กรอกข้อมูล!$L$7","v":70},"กับคะแนนสอบ",null,{"$f":"กรอกข้อมูล!$B$3","v":"หลังเรียน"},null,"ของผู้เรียน"]
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[]
["            จากตาราง พบว่า  การทดสอบ",null,null,null,{"$f":"กรอกข้อมูล!$B$3","v":"หลังเรียน"},"ของผู้เรียนมีคะแนนเฉลี่ย  เท่ากับ ",null,null,null,{"$f":"E21","v":25.70967741935484},"คะแนน  "]
["คิดเป็นร้อยละ ",null,{"$f":"H21","v":51.419354838709673},"และเมื่อเปรียบเทียบระหว่างเกณฑ์กับคะแนนสอบของผู้เรียน ",{"$nulls":5},{"$f":"กรอกข้อมูล!$B$3","v":"หลังเรียน"},null,"พบว่า  "]
["คะแนนสอบของผู้เรียน",null,null,{"$f":"กรอกข้อมูล!$B$3","v":"หลังเรียน"},null,{"$f":"กรอกข้อมูล!$L$1009","v":"สูงกว่าเกณฑ์อย่างมีนัยสำคัญทางสถิติที่ระดับ .01"}]

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["ผลการวิเคราะห์ข้อมูล กลุ่มตัวอย่าง 1 กลุ่ม และไม่ทราบค่าความแปรปรวน โดยมีสมมติฐาน ดังนี้"]
[null,"H0 :","คะแนนเฉลี่ย",null,{"$f":"กรอกข้อมูล!$B$3","v":"หลังเรียน"},"เท่ากับ",{"$f":"กรอกข้อมูล!$D$1006","v":35},"หรือร้อยละ",null,{"$f":"กรอกข้อมูล!$L$7","v":70}]
[null,"H1 :","คะแนนเฉลี่ย",null,{"$f":"กรอกข้อมูล!$B$3","v":"หลังเรียน"},"มากกว่า",{"$f":"กรอกข้อมูล!$D$1006","v":35},"หรือมากกว่าร้อยละ",null,{"$f":"กรอกข้อมูล!$L$7","v":70}]
[]
[{"$nulls":4},"One - Sample Statistics"]
[null,null,null,"N","Mean",null,"Std. Deviation",null,"Std. Error Mean"]
[null,{"$f":"กรอกข้อมูล!$B$3","v":"หลังเรียน"},null,{"$f":"กรอกข้อมูล!$B$1004","v":31},{"$f":"กรอกข้อมูล!$B$1006","v":25.70967741935484},null,{"$f":"กรอกข้อมูล!$B$1007","v":6.07834159612141},null,{"$f":"กรอกข้อมูล!$B$1008","v":1.0917023781932949}]
[]
[]
[{"$nulls":4},"One - Sample Test"]
[null,null,"Test Value =",{"$nulls":4},{"$f":"กรอกข้อมูล!$D$1006","v":35}]
[null,null,"t","df","Sig.(2-tailed)",null,"Mean Difference",null,0.95]
[{"$nulls":8},"Confidence Interval of the Difference"]
[{"$nulls":8},"Lower",null,"Upper"]
[{"$f":"กรอกข้อมูล!$B$3","v":"หลังเรียน"},null,{"$f":"กรอกข้อมูล!N1022","v":-8.5099407734369095},{"$f":"กรอกข้อมูล!O1022","v":30},{"$f":"กรอกข้อมูล!$P$1022","v":1.7008580127511805E-9},null,{"$f":"กรอกข้อมูล!$R$1022","v":-9.2903225806451601},null,{"$f":"กรอกข้อมูล!$T$1022","v":-11.519906347629327},null,{"$f":"กรอกข้อมูล!$V$1022","v":-7.063795580319935}]
[]
[]
["ตาราง.....","ค่าเฉลี่ย  ส่วนเบี่ยงเบนมาตรฐาน ค่าสถิติทดสอบที และระดับนัยสำคัญทางสถิติ"]
["                 ในการทดสอบเปรียบเทียบเกณฑ์ร้อยละ",{"$nulls":4},{"$f":"กรอกข้อมูล!$L$7","v":70},"กับคะแนนสอบ",null,{"$f":"กรอกข้อมูล!$B$3","v":"หลังเรียน"},null,"ของผู้เรียน"]
[null,null,"N","คะแนนเต็ม","Mean",null,"S.D.","% of Mean",null,"t",null,"Sig.\n(1-tailed)"]
[{"$f":"กรอกข้อมูล!$B$3","v":"หลังเรียน"},null,{"$f":"กรอกข้อมูล!$B$1004","v":31},{"$f":"กรอกข้อมูล!$L$6","v":50},{"$f":"กรอกข้อมูล!$B$1006","v":25.70967741935484},null,{"$f":"กรอกข้อมูล!$B$1007","v":6.07834159612141},{"$f":"กรอกข้อมูล!$F$1003","v":51.419354838709673},null,{"$f":"กรอกข้อมูล!$F$1004","v":-8.5099407734369095},{"$f":"กรอกข้อมูล!$G$1007","v":"*"},{"$f":"กรอกข้อมูล!$F$1005","v":8.5042900637559024E-10}]
["t-table.05 =",null,{"$f":"กรอกข้อมูล!$B$1009","v":2.0422724563012378}]
[]
["            จากตาราง พบว่า  การทดสอบ",null,null,null,{"$f":"กรอกข้อมูล!$B$3","v":"หลังเรียน"},"ของผู้เรียนมีคะแนนเฉลี่ย  เท่ากับ ",null,null,null,{"$f":"E21","v":25.70967741935484},"คะแนน  "]
["คิดเป็นร้อยละ ",null,{"$f":"$H$21","v":51.419354838709673},"และเมื่อเปรียบเทียบระหว่างเกณฑ์กับคะแนนสอบของผู้เรียน ",{"$nulls":5},{"$f":"กรอกข้อมูล!$B$3","v":"หลังเรียน"},null,"พบว่า  "]
["คะแนนสอบของผู้เรียน",null,null,{"$f":"กรอกข้อมูล!$B$3","v":"หลังเรียน"},null,{"$f":"กรอกข้อมูล!$L$1010","v":"สูงกว่าเกณฑ์อย่างมีนัยสำคัญทางสถิติที่ระดับ .05"}]

{"sheet":"T-table","index":4,"n_rows":107,"n_cols":13,"rows_kept":107,"cut":false,"hidden":false,"merged":[[0,0,0,12]]}
["t distribution critical values"]
["df",0.25,0.2,0.15,0.1,0.05,2.5000000000000001E-2,0.02,0.01,5.0000000000000001E-3,2.5000000000000001E-3,1E-3,5.0000000000000001E-4]
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[2,0.81620000000000004,1.0609999999999999,1.3859999999999999,1.8855999999999999,2.92,4.3026999999999997,4.8490000000000002,6.9645999999999999,9.9247999999999994,14.09,22.33,31.6]
[3,0.76490000000000002,0.97799999999999998,1.25,1.6376999999999999,2.3534000000000002,3.1823999999999999,3.4820000000000002,4.5407000000000002,5.8409000000000004,7.4530000000000003,10.210000000000001,12.92]
[4,0.74070000000000003,0.94099999999999995,1.19,1.5331999999999999,2.1318000000000001,2.7764000000000002,2.9990000000000001,3.7469000000000001,4.6040999999999999,5.5979999999999999,7.173,8.61]
[5,0.72670000000000001,0.92,1.1559999999999999,1.4759,2.0150000000000001,2.5706000000000002,2.7570000000000001,3.3649,4.0321999999999996,4.7729999999999997,5.8929999999999998,6.8689999999999998]
[6,0.71760000000000002,0.90600000000000003,1.1339999999999999,1.4398,1.9432,2.4468999999999999,2.6120000000000001,3.1427,3.7073999999999998,4.3170000000000002,5.2080000000000002,5.9589999999999996]
[7,0.71109999999999995,0.89600000000000002,1.119,1.4149,1.8946000000000001,2.3645999999999998,2.5169999999999999,2.9980000000000002,3.4994999999999998,4.0289999999999999,4.7850000000000001,5.4080000000000004]
[8,0.70640000000000003,0.88900000000000001,1.1080000000000001,1.3968,1.8594999999999999,2.306,2.4489999999999998,2.8965000000000001,3.3553999999999999,3.8330000000000002,4.5010000000000003,5.0410000000000004]
[9,0.70269999999999999,0.88300000000000001,1.1000000000000001,1.383,1.8331,2.2622,2.3980000000000001,2.8214000000000001,3.2498,3.69,4.2969999999999997,4.7809999999999997]
[10,0.69979999999999998,0.879,1.093,1.3722000000000001,1.8125,2.2281,2.359,2.7637999999999998,3.1692999999999998,3.581,4.1440000000000001,4.5869999999999997]
[11,0.69740000000000002,0.876,1.0880000000000001,1.3633999999999999,1.7959000000000001,2.2010000000000001,2.3279999999999998,2.7181000000000002,3.1057999999999999,3.4969999999999999,4.0250000000000004,4.4370000000000003]
[12,0.69550000000000001,0.873,1.083,1.3562000000000001,1.7823,2.1787999999999998,2.3029999999999999,2.681,3.0545,3.4279999999999999,3.93,4.3179999999999996]
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["source: http://www.union.edu/PUBLIC/BIODEPT/t.html"]