HW Solutions Stat 52

HW Solutions Stat 52 - Chapter 17 ANALYSIS OF FACTOR LEVEL...

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Chapter 17 ANALYSIS OF FACTOR LEVEL MEANS 17.8. a. ¯ Y 1 . =6 . 878, ¯ Y 2 . =8 . 133, ¯ Y 3 . =9 . 200 b. s { ¯ Y 3 . } = . 327, t ( . 975; 24) = 2 . 064, 9 . 200 ± 2 . 064( . 327) , 8 . 525 µ 3 9 . 875 c. ˆ D = ¯ Y 2 . ¯ Y 1 . =1 . 255, s { ˆ D } = . 353, t ( . 975; 24) = 2 . 064 , 1 . 255 ± 2 . 064( . 353), . 526 D 1 . 984 d. ˆ D 1 = ¯ Y 3 . ¯ Y 2 . =1 . 067, ˆ D 2 = ¯ Y 3 . ¯ Y 1 . =2 . 322, ˆ D 3 = ¯ Y 2 . ¯ Y 1 . =1 . 255 ,s { ˆ D 1 } = . 400, s { ˆ D 2 } = . 422, s { ˆ D 3 } = . 353, q ( . 90; 3 , 24)=3 . 05 ,T =2 . 157 1 . 067 ± 2 . 157( . 400) . 204 D 1 1 . 930 2 . 322 ± 2 . 157( . 422) 1 . 412 D 2 3 . 232 1 . 255 ± 2 . 157( . 353) . 494 D 3 2 . 016 e. F ( . 90; 2 , 24)=2 . 54, S =2 . 25 B = t ( . 9833; 24) = 2 . 257 Yes 17.11. a. ¯ Y 1 . =21 . 500, ¯ Y 2 . =27 . 750, ¯ Y 3 . =21 . 417 b. MSE =2 . 490, s { ¯ Y 1 . } = . 456, t ( . 995; 33) = 2 . 733 , 21 . 500 ± 2 . 733( . 456), 20 . 254 µ 1 22 . 746 c. ˆ D = ¯ Y 3 . ¯ Y 1 . = . 083, s { ˆ D } = . 644, t ( . 995; 33) = 2 . 733, . 083 ± 2 . 733( . 644), 1 . 843 D 1 . 677 d. H 0 :2 µ 2 µ 1 µ 3 =0 , H a :2 µ 2 µ 1 µ 3 6 =0 .F = (12 . 583) 2 / 1 . 245 = 127 . 17, F ( . 99; 1 , 33)=7 . 47. If F 7 . 47 conclude H 0 , otherwise H a . Conclude H a . e. ˆ D 1 = ¯ Y 3 . ¯ Y 1 . = . 083, ˆ
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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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