1) The extraction rate of a certain polymer is known to depend on the reaction temperature and the amount of catalyst used. An experiment was conducted at four levels of temperature and five levels of the catalyst, and the extraction rate was recorded in the following table. (14.7) Amount of Catalyst 0.5% 0.6% 0.7% 0.8% 0.9% 50°C 38 45 47 57 59 57 58 41 59 61 60°C 70 61 58 44 56 73 72 43 57 69 70°C 44 70 67 56 73 61 47 60 61 59 80°C 49 62 65 70 55 62 53 47 69 58 a) Perform an analysis of variance. Test for significant main and interaction effects at 0.01 level of significance. b) Use Duncan's test to determine the mean differences of the main effects.

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1) The extraction rate of a certain polymer is known to depend on the reaction temperature and
the amount of catalyst used. An experiment was conducted at four levels of temperature and
five levels of the catalyst, and the extraction rate was recorded in the following table. (14.7)
Amount of Catalyst
0.6% 0.7%
0.5%
0.8%
0.9%
50°C
59
38
41
45
47
57
59
57
61
58
60°C
44
56
70
73
61
43
57
69
72
58
70°C
44
56
70
73
61
47
60
67
61
59
80°C
62
65
70
55
53
58
49
62
47
69
a) Perform an analysis of variance. Test for significant main and interaction effects at 0.01 level of
significance.
b) Use Duncan's test to determine the mean differences of the main effects.
Transcribed Image Text:1) The extraction rate of a certain polymer is known to depend on the reaction temperature and the amount of catalyst used. An experiment was conducted at four levels of temperature and five levels of the catalyst, and the extraction rate was recorded in the following table. (14.7) Amount of Catalyst 0.6% 0.7% 0.5% 0.8% 0.9% 50°C 59 38 41 45 47 57 59 57 61 58 60°C 44 56 70 73 61 43 57 69 72 58 70°C 44 56 70 73 61 47 60 67 61 59 80°C 62 65 70 55 53 58 49 62 47 69 a) Perform an analysis of variance. Test for significant main and interaction effects at 0.01 level of significance. b) Use Duncan's test to determine the mean differences of the main effects.
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