HW Solutions Stat 57

HW Solutions Stat 57 - b r =.992 d tij i j=1 j=2 1...

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b. r = . 992 d. t ij : i j = 1 j = 2 j = 3 j = 4 j = 5 j = 6 j = 7 1 1 . 2477 . 7360 . 0203 . 6192 1 . 8045 . 1538 . 6601 2 1 . 5815 . 4677 . 4095 1 . 6415 . 2874 . 7594 1 . 8287 3 1 . 4648 1 . 8864 . 8150 . 0580 1 . 4052 . 6396 . 4648 4 . 7243 1 . 2537 . 9000 . 4386 . 5551 1 . 0764 . 2003 5 1 . 8560 . 8443 . 3775 . 0871 . 6105 . 1451 . 6688 6 . 5901 1 . 1767 . 7477 1 . 8773 . 1829 . 6893 . 4153 i j = 8 j = 9 j = 10 j = 11 j = 12 j = 13 j = 14 1 2 . 0298 1 . 1472 1 . 6656 1 . 8651 . 8355 . 5434 1 . 2063 2 . 8121 . 7594 1 . 2892 . 8179 2 . 0053 1 . 3427 . 5784 3 1 . 2863 . 0580 . 9323 . 0580 . 5230 . 7565 1 . 4648 4 1 . 3189 . 6659 . 1480 2 . 1035 . 2061 1 . 0823 1 . 3784 5 . 5522 . 9616 . 0871 . 4357 1 . 0204 1 . 3754 . 8443 6 . 1074 1 . 6355 1 . 2952 . 2816 . 8238 . 2990 . 0493 i j = 15 j = 16 j = 17 j = 18 j = 19 j = 20 1 . 0958 . 3281 1 . 0882 . 0203 . 4852 1 . 5455 2 . 9881 . 8765 . 1190 . 9940 . 4677 . 4095 3 . 0580 . 1161 . 1161 . 2322 1 . 5246 . 8736 4 . 6659 1 . 0175 . 8414 . 3165 . 4910 . 9646 5 1 . 9168 . 6688 . 4357 . 0871 1 . 3160 1 . 7954 6 1 . 2359 . 1248 1 . 6355 1 . 1590 1 . 4141 . 5901 H 0 : no outliers, H a : at least one outlier. t ( . 9999417; 113) = 4 . 08. If | t ij | ≤ 4 . 08 conclude H 0 , otherwise H a . Conclude H 0 . 18.11. H 0 : all σ 2 i are equal ( i = 1 , 2 , 3), H a : not all σ 2 i are equal. ˜ Y 1 = 6 . 80, ˜ Y 2 = 8 . 20, ˜ Y 3 = 9 . 55, MSTR = . 0064815, MSE = . 26465, F L = . 0064815 /. 26465 = . 02, F ( . 95; 2 , 24) = 3 . 40. If F L 3 . 40 conclude H 0 , otherwise H a . Conclude H 0 . P -value = . 98 18.13. a. H 0 : all σ 2 i are equal ( i = 1 , 2 , 3), H a : not all σ 2 i are equal.
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