hines have an effect on the plastics breaking strength. Hov operate only three methods during the experiments on a g vs the data of the experiment. Table Q3: Four manufacturing methods on the breaking Manufacturing Methods 2 Machine 1 1 A=73 C=73 2 A=74 B=75 3 B=67 C=68 4 A=71 B=72 What is the name of the design? Write an appropri= then list the assumptions and identify the terms. Is this design symmetric ? Justify your answer. State if the design balance or not. Discuss how to acE design ? Justify your answer. Test the hypothesis at a = 0.05 whether there is ar manufacturing methods on the breaking strength of pla

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Q3 A researcher wish to compare four manufacturing methods on the breaking strength
of plastic. Four types of machines are used in this experiment. He believed that
machines have an effect on the plastics breaking strength. However, each machine
can operate only three methods during the experiments on a given day. Table Q3
shows the data of the experiment.
Table Q3: Four manufacturing methods on the breaking strength of plastic
Manufacturing Methods
Machine
2
1
A=73
C=73
D=75
2
A=74
B=75
C=75
3
B=67
C=68
D=72
4
A=71
В-72
D=75
What is the name of the design? Write an appropriate statistical model
then list the assumptions and identify the terms.
(a)
(b)
Is this design symmetric ? Justify your answer.
State if the design balance or not. Discuss how to achieve balance in this
design ? Justify your answer.
(c)
(d)
Test the hypothesis at a = 0.05 whether there is an effect of the four
manufacturing methods on the breaking strength of plastics.
Transcribed Image Text:Q3 A researcher wish to compare four manufacturing methods on the breaking strength of plastic. Four types of machines are used in this experiment. He believed that machines have an effect on the plastics breaking strength. However, each machine can operate only three methods during the experiments on a given day. Table Q3 shows the data of the experiment. Table Q3: Four manufacturing methods on the breaking strength of plastic Manufacturing Methods Machine 2 1 A=73 C=73 D=75 2 A=74 B=75 C=75 3 B=67 C=68 D=72 4 A=71 В-72 D=75 What is the name of the design? Write an appropriate statistical model then list the assumptions and identify the terms. (a) (b) Is this design symmetric ? Justify your answer. State if the design balance or not. Discuss how to achieve balance in this design ? Justify your answer. (c) (d) Test the hypothesis at a = 0.05 whether there is an effect of the four manufacturing methods on the breaking strength of plastics.
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