HW Solutions Stat 43

HW Solutions Stat 43 - 1 2 3 157 158 159 .1340 .1775 1.4352...

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i :1 2 3 ··· 157 158 159 X 2 i : . 1340 . 1775 1 . 4352 . 0795 . 6324 2 . 7200 dev i : . 2495 . 3245 1 . 8020 . 1478 . 9578 2 . 6614 D i : . 0007 . 0008 . 0395 . 0016 . 0250 . 0191 14.33. a. z ( . 95 )=1 . 645, ˆ π 0 h = . 19561, s 2 { b 0 } =7 . 05306, s 2 { b 1 } = . 004457 ,s { b 0 ,b 1 } = . 175353, s { ˆ π 0 h } = . 39428, . 389 π h . 699 b. Cutof Renewers Nonrenewers Total . 40 18 . 85 0 . 03 3 . 3 . 45 25 . 05 0 . 6 . 7 . 50 25 . 5 . 73 0 . 0 . 55 43 . 82 8 . 63 6 . 7 . 60 43 . 1 . 43 3 . 3 c. Cutof = . 50. Area = . 70089. 14.36. a. ˆ π 0 h = 1 . 3953, s 2 { ˆ π 0 h } = . 1613, s { ˆ π 0 h } = . 4016, z ( . . 645. L = 1 . 3953 1 . 645( . 4016) = 2 . 05597, U = 1 . 3953 + 1 . 645( . 4016) = . 73463. L = [1 + exp(2 . 05597)] 1 = . 11345, U = [1 + exp( . 73463)] 1 = . 32418. b. Cutof Received Not receive Total . 05 4 . 35 62 . 20 66 . 55 . 10 13 . 04 39 . 37 52 . 41 . 15 17 . 39 26 . 77 44 . 16 . 20 39 . 13 15 . 75 54 . 88 c. Cutof = . 15. Area = . 82222. 14.38. a. b 0 =2 . 3529, b 1 = . 2638, s { b 0 } = . 1317, s { b 1 } = . 0792 , ˆ µ = exp(2 . 3529 + . 2638 X ) . b. i 2 3 89 1 0 dev i
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