HW Solutions Stat 98

HW Solutions Stat 98 - If F 8.81 conclude H0 , otherwise Ha...

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If F 8 . 81 conclude H 0 , otherwise H a . Conclude H 0 . P -value = . 49 H 0 : all β k equal zero ( k =1 , ..., 4), H a : not all β k equal zero. F =17 , 773 . 8750 / 212 . 5139 = 83 . 636, F ( . 975; 3 , 18)=3 . 95. If F 3 . 95 conclude H 0 , otherwise H a . Conclude H a . P -value = 0+ e. ¯ Y . 1 . = 708 . 750, ¯ Y . 2 . = 526 . 375, ¯ Y .. 1 = 595 . 000, ¯ Y .. 2 = 604 . 375, ¯ Y .. 3 = 583 . 750, ¯ Y .. 4 = 687 . 125, ˆ L 1 = 182 . 375, ˆ L 2 = 9 . 375, ˆ L 3 =2 0 . 625, ˆ L 4 = 103 . 375, s { ˆ L 1 } = 250 . 1674, s { ˆ L i } =7 . 2889 ( i =2 , 3 , 4), B 1 = t ( . 9875; 6) = 2 . 969, B i = t ( . 9875; 18) = 2 . 445 ( i =2 , 3 , 4) 182 . 375 ± 2 . 969(250 . 1674) 560 . 372 L 1 925 . 122 9 . 375 ± 2 . 445(7 . 2889) 27 . 196 L 2 8 . 446 20 . 625 ± 2 . 445(7 . 2889) 2 . 804 L 3 38 . 446 103 . 375 ± 2 . 445(7 . 2889) 121 . 196 L 4 ≤− 85 . 554 27.18. a. e ijk : j =1 j =2 ik =1 k =2 k =1 k =2 1 . 045 . 045 . 045 . 045 2 . 120 . 120 . 120 . 120 3 . 080 . 080 . 080 . 080 4 . 045 . 045 . 045 . 045 5 . 080 . 080 . 080 . 080 6 . 055 . 055 . 055 . 055 7 . 030 . 030 . 030 . 030 8 . 045 . 045 . 045 . 045 9 . 055 . 055
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