Statistics

User Generated

t00788

Mathematics

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Please answer, showing all formulas and working, to the attached files. The questions refer to a table which is also attached.

10 questions in total.
Table page 1.pdf
Table page 2.pdf

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TABLE E.3 Critical Values of t a particular number of degrees of freedom, entry represents the critical value of, corresponding to the cumulative probability (1 and a specified upper-tail area (a). For - ") Degrees of Freedom,, I 3.07'77, 6.3138 12.7062 31,;,8-207 63.6574 1.8856 2:9200 430n 6,19646- 9.9248 r.63:7,7 2.7764 A,72:67 I',4759 ,2.57A6 ,3.'7469 3.3649 ,4,.6041 5 2.3534 2.1318 ?,0150 3.18:24 4 1.0000 0.8165 0i.7649 0:74A7 6 0.7|76 1:9432 2.4469 3.T427 '3";7014 0,7111 0.:7064 ,2,9980 ,,3;4995 I 3,.3554 a:70n 23A60 2.2622 2,8965 ,9 1,396.9 1,.3830 10 069e8 13722 1.8946 1,8595 1:8331 1 .81 25 2.364:6 I 1.4398 1,,4149 2.2281 2.7638 11 4.6974 t.3;634 2,il8l 0.6955 0:6938 t.3562 1.7959 1.7823 2.20ta t2 2:1788 2.6810 1.3502 1.3450 1.77A9 2:'l6M 2.6:503 3:0173 1.7613 2;14l.8, ,2.9768 13446 1J531 2,13,1,5 2.62*5 2.6025 i,.1les 2;5835,' 2 J ,7 13 14 1;5332 '45407 5.8409 '4:{R22 2.82t4 ,3':.2;498 '3,.'1'69,3 3.105,8 i3'10545 15 0.69:24 O:,6912 16 0.6901 1.3368 t_7459 17 18 19 0.6892 0.6884 4.6876 0.6870 1.3334 1.3304 t-7:3916 ',2.1098 L,7,34I .2;1009 1.3277 :L.7?91 2.0930 1.3253 t,7247 2,0860 0.6864 0.6858 0.6853 0.6848 0.6844 1,;3232 L72A7 2.4196 2':5177 2;83,14, 1,,321,2 t.7r71 2-,5083r 2.8,1188 1,:3195 1.7.739 2:4999 2:$:lU/3 1,3178 1.7109 1,7081 2.013,9 2.068;7 2.063,9 2,492, 2t7969 2.0595 2:4851 2,,7:8:14 ,2,0555 2,4786 2.4727 2.4671 7,77,W 20 21 22 23 24 25 26 27 28 29 30 0.6840, O:6837 0,6834- 0,6830 0,6,928 il.3163 1.3150 1.7056 1.3137 1.7033 .a125 1.701 l.stt+ ' r.699r 1.3104 "1.6973 1 1 210518 2:0484 2.A452 '23467 ,, ,2:9208 2.5669.. 2;8982 2,5524,, ',, ' 218784 2'5395," , ",' 2.86O9 2.,528i,0: ,, ,' .2.845,3. 2.4620 2.7707 2-7633 2,;7564 2,457.3 2,75A:A: ,2.74:40 31 O.OtZS 1i.3095 1.6955 32 JJ 34 35 a;6822 1,3086 1.6939 0:68-20 i,;3077 t.6924 ,2.0423, 2.0395 2.0369 2,0345 0.6818 1.3070 '2,,0322 0:6s16, T.3062 1,6909 1.6896 2,452& 2tM:87 2,4448 2,4411 2:4301 :2.;4377 2:7238 ,2,0281 ,2.A262 2.4345 2,431+ 2..7t95 2,71t6 36 5t 0,6814 0.6812 0:6810 1,6883 1.6871 1:6860 1.6849 2.A244 2.4286] 2.A27:7 2;4258 2,7A79 1,68'39 2,0211 7,4233, '2',7045 2.4208 40 0.6807 4t 0.6805 0;6804 0.6802 0.6801 0,6800 i,3ozs 1,6829 2.0t95 1.3020 1.3016 1.3011 1.3006 1:6820 2.0181 1:6811 1.6802 2.0167 1.6794 2.0141 46 47 0.6799 1.3002 t.6787 2.A129 0.6'197 t.6'779 2.Ott7 48 t.6't"t? 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