The accompanying table presents data on yields relating to resistance to stain for three materials (M1, M2 , and M3) treated with four chemicals in a ran- domized block design. (A low value indicates good stain resistance.) Material Chemical M1 M2 M3 Total A 7 21 B 3 4 15 C 8 13 9. 30 D 4 6 8 18 Total 20 36 28 84 (i) Construct an analysis-of-variance table. (ii) Test at the 0.05 level whether mean stain resistance for each chemical is the same. (ii) Test at the 0.05 level whether the stain resistance for each materialt is the same.

MATLAB: An Introduction with Applications
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(b) The accompanying table presents data on yields relating to resistance to stain
for three materials (M1, M2 , and M3) treated with four chemicals in a ran-
domized block design. (A low value indicates good stain resistance.)
Material
Chemical
M1 M2
M3
Total
A
5
9
7
21
В
8
4
15
C
8.
13
9.
30
D
4
6.
8
18
Total
20
36
28
84
(i) Construct an analysis-of-variance table.
(ii) Test at the 0.05 level whether mean stain resistance for each chemical is
the same.
(ii) Test at the 0.05 level whether the stain resistance for each materialt is the
same.
Transcribed Image Text:(b) The accompanying table presents data on yields relating to resistance to stain for three materials (M1, M2 , and M3) treated with four chemicals in a ran- domized block design. (A low value indicates good stain resistance.) Material Chemical M1 M2 M3 Total A 5 9 7 21 В 8 4 15 C 8. 13 9. 30 D 4 6. 8 18 Total 20 36 28 84 (i) Construct an analysis-of-variance table. (ii) Test at the 0.05 level whether mean stain resistance for each chemical is the same. (ii) Test at the 0.05 level whether the stain resistance for each materialt is the same.
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