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HW Solutions Stat 96

# HW Solutions Stat 96 - Y 1 = 55 4375 ¯ Y 2 = 53 6000 ¯ Y...

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Chapter 27 REPEATED MEASURES AND RELATED DESIGNS 27.6. a. e ij : ij =1 j =2 j =3 1 1 . 2792 . 2417 1 . 5208 2 . 8458 . 6917 . 1542 3 . 6208 . 0583 . 6792 4 . 5542 . 1917 . 7458 5 . 5208 . 3417 . 1792 6 . 1458 . 3917 . 2458 7 . 9875 . 7750 . 2125 8 . 4125 . 0250 . 3875 r = . 992 d. H 0 : D =0 , H a : D 6 =0 . SSTR.S =9 . 5725, SSTR.S =2 . 9410, SSRem = 6 . 6315, F =(2 . 9410 / 1) ÷ (6 . 6315 / 13)=5 . 765, F ( . 99; 1 , 13)=9 . 07. If F 9 . 07 conclude H 0 , otherwise H a . Conclude H 0 . P -value = . 032 27.7. a. Source SS df MS Stores 745 . 1850 7 106 . 4550 Prices 67 . 4808 2 33 . 7404 Error 9 . 5725 14 . 68375 Total 822 . 2383 23 b. H 0 : all τ j equal zero ( j =1,2,3), H a : not all τ j equal zero. F =33 . 7404 /. 68375 = 49 . 346, F ( . 95; 2 , 14)=3 . 739. If F 3 . 739 conclude H 0 , otherwise H a . Conclude H a . P -value = 0+ c.
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Unformatted text preview: Y . 1 = 55 . 4375, ¯ Y . 2 = 53 . 6000, ¯ Y . 3 = 51 . 3375, ˆ L 1 = ¯ Y . 1 − ¯ Y . 2 = 1 . 8375, ˆ L 2 = ¯ Y . 1 − ¯ Y . 3 = 4 . 1000, ˆ L 3 = ¯ Y . 2 − ¯ Y . 3 = 2 . 2625, s { ˆ L i } = . 413446 ( i = 1 , 2 , 3), q ( . 95; 3 , 14) = 3 . 70, T = 2 . 616 1 . 8375 ± 2 . 616( . 413446) . 756 ≤ L 1 ≤ 2 . 919 4 . 1000 ± 2 . 616( . 413446) 3 . 018 ≤ L 2 ≤ 5 . 182 2 . 2625 ± 2 . 616( . 413446) 1 . 181 ≤ L 3 ≤ 3 . 344 27-1...
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