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HW Solutions Stat 68

# HW Solutions Stat 68 - 3391 − 5 99 ≤ D 5 ≤ − 2 51...

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Chapter 20 TWO-FACTOR STUDIES – ONE CASE PER TREATMENT 20.2. b. Source SS df MS Location 37 . 0050 3 12 . 3350 Week 47 . 0450 1 47 . 0450 Error . 3450 3 . 1150 Total 84 . 3950 7 H 0 : all α i equal zero ( i = 1 , ..., 4), H a : not all α i equal zero. F = 12 . 3350 /. 1150 = 107 . 26, F ( . 95; 3 , 3) = 9 . 28. If F 9 . 28 conclude H 0 , otherwise H a . Conclude H a . P -value = . 0015 H 0 : β 1 = β 2 = 0, H a : not both β 1 and β 2 equal zero. F = 47 . 0450 /. 1150 = 409 . 09, F ( . 95; 1 , 3) = 10 . 1. If F 10 . 1 conclude H 0 , otherwise H a . Conclude H a . P -value = . 0003. α . 0975 c. ˆ D 1 = ¯ Y 1 . ¯ Y 2 . = 18 . 95 14 . 55 = 4 . 40, ˆ D 2 = ¯ Y 1 . ¯ Y 3 . = 18 . 95 14 . 60 = 4 . 35, ˆ D 3 = ¯ Y 1 . ¯ Y 4 . = 18 . 95 18 . 80 = . 15, ˆ D 4 = ¯ Y 2 . ¯ Y 3 . = . 05, ˆ D 5 = ¯ Y 2 . ¯ Y 4 . = 4 . 25, ˆ D 6 = ¯ Y 3 . ¯ Y 4 . = 4 . 20, ˆ D 7 = ¯ Y . 1 ¯ Y . 2 = 14 . 30 19 . 15 = 4 . 85, s { ˆ D i } = . 3391 ( i = 1 , ..., 6), s { ˆ D 7 } = . 2398, B = t ( . 99286; 3) = 5 . 139 4 . 40 ± 5 . 139( . 3391) 2 . 66 D 1 6 . 14 4 . 35 ± 5 . 139( . 3391) 2 . 61 D 2 6 . 09 . 15 ± 5 . 139( . 3391) 1 . 59 D 3 1 . 89 . 05 ± 5 . 139( . 3391) 1 . 79 D 4 1 . 69 4 . 25 ± 5 . 139(
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Unformatted text preview: . 3391) − 5 . 99 ≤ D 5 ≤ − 2 . 51 − 4 . 20 ± 5 . 139( . 3391) − 5 . 94 ≤ D 6 ≤ − 2 . 46 − 4 . 85 ± 5 . 139( . 2398) − 6 . 08 ≤ D 7 ≤ − 3 . 62 20.3. a. ˆ µ 32 = ¯ Y 3 . + ¯ Y . 2 − ¯ Y .. = 14 . 600 + 19 . 150 − 16 . 725 = 17 . 025 b. s 2 { ˆ µ 32 } = . 071875 c. s { ˆ µ 32 } = . 2681, t ( . 975; 3) = 3 . 182, 17 . 025 ± 3 . 182( . 2681) , 16 . 172 ≤ µ 32 ≤ 17 . 878 21.4. ˆ D = ( − 4 . 13473) / (18 . 5025)(11 . 76125) = − . 019, SSAB ∗ = . 0786 , SSRem ∗ = . 2664. 20-1...
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