A chemist wishes to test the effect of four chemical agents on the strength of a particular type of cloth. He suspects that different bolts have an effect on the strength of the cloth. In this study, he considered five bolts. For each bolt, four chemical agents are applied randomly to each sample cloth. The following data are obtained; Chemical Bolt 2. 3. 4 5_ 1 73 73 68 74 71 67 68 75 72 70 75 68 78 73 68 73 71 75 75 69 Test the hypothesis whether there is a significant difference between the strength of cloth for the four chemical agents? (a = 0.05) Use Duncan test if necessary (a = 0.05) Estimate 95% confidence interval for the strength of the fourth chemical agent. Obtain the 95% confidence interval for L = µ2 - µ3 а) b) c) d) - NM 4

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A chemist wishes to test the effect of four chemical agents on the strength of a particular
type of cloth. He suspects that different bolts have an effect on the strength of the cloth.
In this study, he considered five bolts. For each bolt, four chemical agents are applied
randomly to each sample cloth. The following data are obtained;
Chemical
Bolt
2.
68
3_
4
71
5_
1
73
74
67
2
73
68
75
72
70
3
75
68
78
73
68
73
71
75
75
69
Test the hypothesis whether there is a significant difference between the strength
of cloth for the four chemical agents? (a = 0.05)
Use Duncan test if necessary (a = 0.05)
Estimate 95% confidence interval for the strength of the fourth chemical agent.
Obtain the 95% confidence interval for L = µ2 - µ3
a)
b)
c)
d)
2)
Transcribed Image Text:A chemist wishes to test the effect of four chemical agents on the strength of a particular type of cloth. He suspects that different bolts have an effect on the strength of the cloth. In this study, he considered five bolts. For each bolt, four chemical agents are applied randomly to each sample cloth. The following data are obtained; Chemical Bolt 2. 68 3_ 4 71 5_ 1 73 74 67 2 73 68 75 72 70 3 75 68 78 73 68 73 71 75 75 69 Test the hypothesis whether there is a significant difference between the strength of cloth for the four chemical agents? (a = 0.05) Use Duncan test if necessary (a = 0.05) Estimate 95% confidence interval for the strength of the fourth chemical agent. Obtain the 95% confidence interval for L = µ2 - µ3 a) b) c) d) 2)
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