HW Solutions Stat 46

HW Solutions Stat 46 - Chapter 16 SINGLE-FACTOR STUDIES...

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Chapter 16 SINGLE-FACTOR STUDIES 16.7. b. ˆ Y 1 j = ¯ Y 1 . =6 . 87778, ˆ Y 2 j = ¯ Y 2 . =8 . 13333, ˆ Y 3 j = ¯ Y 3 . =9 . 20000 c. e ij : ij =1 j =2 j =3 j =4 j =5 j 1 . 772 1 . 322 . 078 1 . 078 . 022 . 278 2 1 . 433 . 033 1 . 267 . 467 . 333 . 433 3 . 700 . 500 . 900 1 . 400 . 400 . 300 =7 j j j =10 j =11 j =12 1 . 578 . 822 . 878 2 . 767 . 233 . 167 . 567 1 . 033 . 267 Yes d. Source SS df MS Between levels 20 . 125 2 10 . 0625 Error 15 . 362 24 . 6401 Total 35 . 487 26 e. H 0 : all µ i are equal ( i , 2 , 3), H a : not all µ i are equal. F . 0625 /. 6401 = 15 . 720, F ( . 95; 2 , 24)=3 . 40. If F 3 . 40 conclude H 0 , otherwise H a . Conclude H a . f. P -value = 0+ 16.10. b. ˆ Y 1 j = ¯ Y 1 . =21 . 500, ˆ Y 2 j = ¯ Y 2 . =27 . 750, ˆ Y 3 j = ¯ Y 3 . . 417 c. e ij : j j j j j 11 . 500 3 . 500 . 500 . 500 . 500 . 500 2 . 250 . 750
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