2
Operator s/o A B C D Total I 10 8 12 13 43 II 10 12 14 15 51 III 12 10 11 14 47 Total 32 30 37 42 141 Adjustment Factor T 2 = 141 2 = 1656.75 N 12 SST = 10 2 + 8 2 + 12 2 + 13 2 + 10 2 + 12 2 + 14 2 + 15 2 + 12 2 + 10 2 + 11 2 + 14 2 = 1656.75 SSC = 32 2 + 30 2 + 37 2 + 42 2 - 1656.75 = 28.91 3 3 3 3 SSR = 43 2 + 51 2 + 47 2 – 1656.75 = 8 4 4 4 Anova Table SS df MS F o! 8 2 4 2.58 "olumn 28.91 3 9.636 5.80 #rror 9.34 6 1.55 Total 46.25 11 H o : O!"#$o"s !%&#' H 1 : No$ !%&#' H o : I()!!()!($ o( S* ,$ H 1 : D!!()!($ o( S* ,$ = 5 1 $# ' " *$ = 5 1 $# ' " *$ = 5.8 =2.58 C. . 2.6 = 5.14 3.6 = D! : A !$ HO R!s&'$: O!"#$o"s #"! !%&#'' "o)& $ ! D! : A !$ HO R!s&'$: "o)& $ o( s ()!!()!($ o, s* ,$s

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Operator

s/oABCDTotal

I108121343

II1012141551

III1210111447

Total32303742141

Adjustment FactorT2 = 1412 = 1656.75N 12

SST = 102 + 82 + 122 + 132 + 102 + 122 + 142 + 152 + 122 + 102 + 112 + 142 = 1656.75

SSC = 322 + 302 + 372 + 422 - 1656.75 = 28.91 3 3 3 3

SSR = 432 + 512 + 472 1656.75 = 8 4 4 4

Anova Table

SSdfMSF

Row8242.58

Column28.9139.6365.80

Error9.3461.55

Total46.2511

Ho : Operators equalH1 : Not equalHo : Independent on ShiftH1 : Dependent on Shift

= 5% 1 tail right = 5% 1 tail right

F = 5.8F=2.58

C.V. 2.6 = 5.143.6 = **

Deci : Accept HOResult: Operators are equally productiveDeci: Accept HOResult: Production is independent of shifts