HW Solutions Stat 54

HW Solutions Stat 54 - .0945 2.488(.0557) .0265...

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. 0945 ± 2 . 488( . 0557) . 0441 D 2 . 2331 . 0265 ± 2 . 488( . 0557) . 1651 D 3 . 1121 . 28075 ± 2 . 488( . 03935) . 3787 L 1 ≤− . 1828 . 00625 ± 2 . 488( . 03935) . 1042 L 2 . 0917 . 2776 ± 2 . 488( . 03408) . 3624 L 3 . 1928 . 1341 ± 2 . 488( . 03408) . 0493 L 4 . 2189 17.19. a. L 1 = µ 1 µ . L 2 = µ 2 µ . L 3 = µ 3 µ . L 4 = µ 4 µ . L 5 = µ 5 µ . L 6 = µ 6 µ . ˆ L 1 = . 0735 . 2277 = . 1542, ˆ L 2 = . 1905 . 2277 = . 0372 ˆ L 3 = . 4600 . 2277 = . 2323, ˆ L 4 = . 3655 . 2277 = . 1378 ˆ L 5 = . 1250 . 2277 = . 1027, ˆ L 6 = . 1515 . 2277 = . 0762 s { ˆ L i } = s . 03097 20 25 36 + . 03097 36 5 20 = . 0359 B = t ( . 99583; 114) = 2 . 685 . 1542 ± 2 . 685( . 0359) . 2506 L 1 . 0578 . 0372 ± 2 . 685( . 0359) . 1336 L 2 . 0592 . 2323 ± 2 . 685( . 0359) . 1359 L 3 . 3287 . 1378 ± 2 . 685( . 0359) . 0414 L 4 . 2342 . 1027 ± 2 . 685( . 0359) . 1991 L 5 . 0063 . 0762 ± 2 . 685( . 0359) . 1726 L 6 . 0202 Conclude not all µ i are equal. 17.25. Bonferroni, n =45 17.29. a. ˆ Y = . 18472 + . 06199 x + . 01016 x 2 b. e ij : ij =1 j =2 j =3 j =4 j =5 j =6 j =7 1 . 2310 . 1090 . 0210 . 0890 . 2890 . 0090 . 1310 2 . 2393 . 1107 . 1007 . 2493 . 0193 . 1607 . 3407 3 . 2440 . 3260 . 1340 . 0040 . 2340 . 1040 . 0860 4 . 1268 . 2168
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