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HW Solutions Stat 92

# HW Solutions Stat 92 - Chapter 26 NESTED DESIGNS...

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Chapter 26 NESTED DESIGNS, SUBSAMPLING, AND PARTIALLY NESTED DESIGNS 26.9. a. e ijk : i = 1 k j = 1 j = 2 j = 3 1 1 . 8 12 . 8 9 . 6 2 15 . 8 . 8 7 . 4 3 5 . 2 3 . 2 16 . 4 4 . 2 3 . 8 14 . 6 5 12 . 2 14 . 2 . 4 i = 2 k j = 1 j = 2 j = 3 1 7 . 2 2 . 6 8 . 8 2 3 . 8 15 . 6 8 . 2 3 15 . 2 6 . 4 10 . 2 4 7 . 8 11 . 4 11 . 8 5 10 . 8 . 4 2 . 2 i = 3 k j = 1 j = 2 j = 3 1 5 . 8 9 . 8 12 . 0 2 11 . 2 12 . 2 0 . 0 3 . 8 . 8 17 . 0 4 12 . 8 3 . 2 2 . 0 5 8 . 2 4 . 8 7 . 0 r = . 987 26.10. a. Source SS df MS States ( A ) 6 , 976 . 84 2 3 , 488 . 422 Cities within states [ B ( A )] 167 . 60 6 27 . 933 Error ( E ) 3 , 893 . 20 36 108 . 144 Total 11 , 037 . 64 44 b. H 0 : all α i equal zero ( i = 1 , 2 , 3), H a : not all α i equal zero. F = 3 , 488 . 422 / 108 . 144 = 32 . 257, F ( . 95; 2 , 36) = 3 . 26. If
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