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HW Solutions Stat 70

HW Solutions Stat 70 - Chapter 21 RANDOMIZED COMPLETE BLOCK...

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Chapter 21 RANDOMIZED COMPLETE BLOCK DESIGNS 21.5. b. e ij : i j = 1 j = 2 j = 3 1 2 . 50000 1 . 50000 1 . 00000 2 1 . 50000 . 50000 1 . 00000 3 2 . 16667 . 83333 1 . 33333 4 . 16667 . 83333 . 66667 5 4 . 16667 4 . 83333 . 66667 6 1 . 50000 . 50000 1 . 00000 7 1 . 50000 1 . 50000 3 . 00000 8 2 . 83333 3 . 16667 . 33333 9 1 . 50000 2 . 50000 1 . 00000 10 1 . 16667 1 . 83333 . 66667 r = . 984 d. H 0 : D = 0, H a : D = 0. SSBL.TR = . 13, SSRem = 112 . 20, F = ( . 13 / 1) ÷ (112 . 20 / 17) = . 02, F ( . 99; 1 , 17) = 8 . 40. If F 8 . 40 conclude H 0 , otherwise H a . Conclude H 0 . P -value = . 89 21.6. a. Source SS df MS Blocks 433 . 36667 9 48 . 15185 Training methods 1 , 295 . 00000 2 647 . 50000 Error 112 . 33333 18 6 . 24074 Total 1 , 840 . 70000 29 b. ¯ Y . 1 = 70 . 6, ¯ Y . 2 = 74 . 6, ¯ Y . 3 = 86 . 1 c. H 0 : all τ j equal zero ( j = 1
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