The durability of a plastic product is directly affected by the hardness of the plastic types used. Plastic hardness which is measured with the Durometer Hardness test goes between 0 and 100. A higher number represents a harder plastic. A comparative test is conducted to investigate the quality of the plastic based on their hardness from 3 different factory sources. The test is conducted with 6 different plastic types acquired from each factory source. The types of plastic are sorted based on the nature of hardness in ascending order.

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The durability of a plastic product is directly affected by the hardness of the plastic types used. Plastic hardness which is measured with the Durometer Hardness test goes between 0 and 100. A higher number represents a harder plastic. A comparative test is conducted to investigate the quality of the plastic based on their hardness from 3 different factory sources. The test is conducted with 6 different plastic types acquired from each factory source. The types of plastic are sorted based on the nature of hardness in ascending order.

Plastic types
Factory sources
1
2
3
4
6
1
69
69
79
84
84
92
2
57
63
68
68
73
79
3
72
76
79
83
84
97
(a)
State the model and its appropriate assumptions.
By using ANOVA, determine whether the three factory sources have different
(b)
quality of plastic produced. Use a = 0.05.
Perform a pair-wise comparison of the means using the Duncan's multiple
range test. Use a = 0.05.
(c)
3.
Transcribed Image Text:Plastic types Factory sources 1 2 3 4 6 1 69 69 79 84 84 92 2 57 63 68 68 73 79 3 72 76 79 83 84 97 (a) State the model and its appropriate assumptions. By using ANOVA, determine whether the three factory sources have different (b) quality of plastic produced. Use a = 0.05. Perform a pair-wise comparison of the means using the Duncan's multiple range test. Use a = 0.05. (c) 3.
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