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HW Solutions Stat 43

# HW Solutions Stat 43 - 1 2 3 157 158 159.1340.1775...

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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 h = . 19561, s 2 { b 0 } = 7 . 05306, s 2 { b 1 } = . 004457 , s { b 0 , b 1 } = . 175353, s { ˆ π h } = . 39428, . 389 π h . 699 b. Cutoff Renewers Nonrenewers Total . 40 18 . 8 50 . 0 33 . 3 . 45 25 . 0 50 . 0 36 . 7 . 50 25 . 0 35 . 7 30 . 0 . 55 43 . 8 28 . 6 36 . 7 . 60 43 . 8 21 . 4 33 . 3 c. Cutoff = . 50. Area = . 70089. 14.36. a. ˆ π h = 1 . 3953, s 2 { ˆ π h } = . 1613, s { ˆ π h } = . 4016, z ( . 95) = 1 . 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. Cutoff 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. Cutoff = . 15. Area = . 82222. 14.38. a. b 0 = 2 . 3529, b 1 = . 2638, s { b 0 } = . 1317, s { b 1 } = . 0792 , ˆ
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