HW Solutions Stat 53

HW Solutions Stat 53 - b. c. e. M SE = .03097, scfw_Y1. =...

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b. MSE = . 03097, s { ¯ Y 1 . } = . 0394, t ( . 975; 114) = 1 . 981 ,. 0735 ± 1 . 981( . 0394), . 005 µ 1 . 152 c. ˆ D = ¯ Y 2 . ¯ Y 1 . = . 1170, s { ˆ D } = . 0557 ,t ( . 975; 114) = 1 . 981, . 1170 ± 1 . 981( . 0557), . 007 D . 227 e. ˆ D 1 = ¯ Y 1 . ¯ Y 4 . = . 2920, ˆ D 2 = ¯ Y 1 . ¯ Y 5 . = . 0515 , ˆ D 3 = ¯ Y 4 . ¯ Y 5 . = . 2405, s { ˆ D i } = . 0557 ( i =1 , 2 , 3), B = t ( . 9833; 114) = 2 . 178 Test Comparison ii t i Conclusion 1 D 1 5 . 242 H a 2 D 2 . 925 H 0 3 D 3 4 . 318 H a f. q ( . 90; 6 , 114) = 3 . 71, T =2 . 623, no 17.14. a. ˆ L =( ¯ Y 1 . + ¯ Y 2 . ) / 2 ¯ Y 3 . =(6 . 8778 + 8 . 1333) / 2 9 . 200 = 1 . 6945 , s { ˆ L } = . 3712, t ( . 975; 24) = 2 . 064, 1 . 6945 ± 2 . 064( . 3712) , 2 . 461 L ≤− . 928 b. ˆ L =(3 / 9) ¯ Y 1 . +(4 / 9) ¯ Y 2 . +(2 / 9) ¯ Y 3 . =7 . 9518, s { ˆ L } = . 1540 ( . 975; 24) = 2 . 064, 7 . 9518 ± 2 . 064( . 1540), 7 . 634 L 8 . 270 c. F ( . 90; 2, 24) = 2 . 54, S . 254; see also part (a) and Problem 17.8. 1 . 067 ± 2 . 254( . 400) . 165 D 1 1 . 969 2 . 322 ± 2 . 254( . 422) 1 . 371 D 2 3 . 273 1 . 255 ± 2 . 254( . 353) . 459 D 3 2 . 051 1 . 6945 ± 2 . 254( . 3712) 2 . 531 L 1 . 858 17.16. a. ˆ L ¯ Y 3 . ¯ Y 2 . ) ( ¯ Y 2 . ¯ Y 1 . )= ¯ Y 3 . 2 ¯ Y 2 . + ¯ Y 1 . =21 . 4167 2(27 . 7500) + 21 . 500 = 12 . 5833, s { ˆ L } . 1158, t ( . 995; 33) = 2 . 733, 12 . 5833 ± 2 . 733(1 . 1158), 15 . 632 L 9 . 534 b. ˆ D 1 = ¯ Y 2 . ¯ Y 1 . =6 . 2500, ˆ D 2 = ¯ Y 3 . ¯ Y 2 . = 6 . 3333, ˆ D 3 = ¯ Y 3 . ¯ Y 1 . = . 0833, ˆ L 1 = ˆ D 2 ˆ D 1 = 12 . 5833, s { ˆ D i } = . 6442 ( i , 2 , 3), s { ˆ L 1 } . 1158, F ( . 90; 2 , 33)=2 . 47, S . 223 6 . 2500 ± 2 . 223( . 6442) 4 . 818 D 1 7 . 682 6 . 3333 ± 2 . 223( . 6442) 7 . 765 D 2 4 . 901 . 0833 ± 2 . 223( . 6442) 1 . 515 D 3 1 . 349 12 . 5833
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This note was uploaded on 12/21/2011 for the course STA 2014 taught by Professor Davehatley during the Fall '11 term at UNF.

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