1. Complete all missing elements in the ANOVA table . The results in the ANOVA t

Question

1. Complete all missing elements in the ANOVA table

.

The results in the ANOVA table in the previous problem allow you to draw what conclusion?

a. There is not a significant difference for any of the factor levels. b. Level A is significantly different from Level D. c. Level B is significantly different from Level D. d. At least one of the factor levels is significantly different.

Factor Levels Sample from Level A Sample from Level B Sample from Level C Sample from level D 5 3 10 6 4 5 6 6 7 6 8 7 6 5 7 6 C= 22 ? 31 25 average= 5.5 4.75 7.75 ?

Explanation / Answer

total for level B =3+5+6+5=19

average for level D =total/4 =25/4 =6.25

as number of methods =number of levels-1 =3

total df =12+3 =15

as F =MS/MSE

therefore from above:

below is complete table:

as test statistic is greater than critical value

option D is correct

Factor Levels Sample from Level A Sample from Level B Sample from Level C Sample from level D 5 3 10 6 4 5 6 6 7 6 8 7 6 5 7 6 C= 22 19 31 25 average= 5.5 4.75 7.75 6.25 ANOAVA Source SS df MS F P-value F crit Method 19.6875 3 6.5625 4.0909 0.032461 3.490295 Error 19.25 12 1.604167 Total 38.9375 15

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