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HW Solutions Stat 47

HW Solutions Stat 47 - d Source Between ages Error Total e...

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d. Source SS df MS Between ages 316 . 722 2 158 . 361 Error 82 . 167 33 2 . 490 Total 398 . 889 35 e. H 0 : all µ i are equal ( i = 1 , 2 , 3), H a : not all µ i are equal. F = 158 . 361 / 2 . 490 = 63 . 599, F ( . 99; 2 , 33) = 5 . 31. If F 5 . 31 conclude H 0 , otherwise H a . Conclude H a . P -value = 0+ 16.11. b. ˆ Y 1 j = ¯ Y 1 . = . 0735, ˆ Y 2 j = ¯ Y 2 . = . 1905, ˆ Y 3 j = ¯ Y 3 . = . 4600 , ˆ Y 4 j = ¯ Y 4 . = . 3655, ˆ Y 5 j = ¯ Y 5 . = . 1250, ˆ Y 6 j = ¯ Y 6 . = . 1515 c. e ij : i j = 1 j = 2 j = 3 j = 4 j = 5 1 . 2135 . 1265 . 0035 . 1065 . 3065 2 . 2695 . 0805 . 0705 . 2795 . 0495 3 . 2500 . 3200 . 1400 . 0100 . 2400 4 . 1245 . 2145 . 1545 . 0755 . 0955 5 . 3150 . 1450 . 0650 . 0150 . 1050 6 . 1015 . 2015 . 1285 . 3185 . 0315 i j = 6 j = 7 j = 8 j = 9 j = 10 1 . 0265 . 1135 . 3435 . 1965 . 2835 2 . 1305 . 3105 . 1395 . 1305 . 2205 3 . 1100 . 0800 . 2200 . 0100 . 1600 4 . 1845 . 0345 . 2255 . 1145 . 0255 5 . 0250 . 1150 . 0950 . 1650 . 0150 6 . 1185 . 0715 . 0185 . 2785 . 2215 i j = 11 j = 12 j = 13 j = 14 j = 15 1 . 3165 . 1435 . 0935 . 2065 . 0165 2 . 1405 . 3395 . 2295 . 0995 . 1695 3 . 0100
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