4.21. An industrial engineer is conducting an experiment on eye focus time. He is interested in the effect of the distance of the object from the eye on the focus time. Four different distances are of interest. He has five subjects available for the experiment. Because there may be differences among individu- als, he decides to conduct the experiment in a randomized block design. The data obtained follow. Analyze the data from this experiment (use a = 0.05) and draw appropriate conclusions. Distance (ft) 4 6 8 10 1 2 10 6 7 6 5 3 6 4 Subject 3 6 3 4 4 6 1 2 2 5 6 5 3 (a) What is the response? What are the factors? How many levels of each factor are used? How many replicates were used? (b) Perform an ANOVA analysis. (c) Prepare appropriate residual plots and comment on the model's adequacy.

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4.21. An industrial engineer is conducting an experiment on
eye focus time. He is interested in the effect of the distance of
the object from the eye on the focus time. Four different
distances are of interest. He has five subjects available for the
experiment. Because there may be differences among individu-
als, he decides to conduct the experiment in a randomized block
design. The data obtained follow. Analyze the data from this
experiment (use a = 0.05) and draw appropriate conclusions.
Distance (ft)
4
6
8
10
1
10
7
5
6
2
6
6
3
4
Subject
3
6
3
4
4
6
122
5
6653
2 3
(a) What is the response? What are the factors? How many
levels of each factor are used? How many replicates were
used?
(b) Perform an ANOVA analysis.
(c) Prepare appropriate residual plots and comment on the
model's adequacy.
Transcribed Image Text:4.21. An industrial engineer is conducting an experiment on eye focus time. He is interested in the effect of the distance of the object from the eye on the focus time. Four different distances are of interest. He has five subjects available for the experiment. Because there may be differences among individu- als, he decides to conduct the experiment in a randomized block design. The data obtained follow. Analyze the data from this experiment (use a = 0.05) and draw appropriate conclusions. Distance (ft) 4 6 8 10 1 10 7 5 6 2 6 6 3 4 Subject 3 6 3 4 4 6 122 5 6653 2 3 (a) What is the response? What are the factors? How many levels of each factor are used? How many replicates were used? (b) Perform an ANOVA analysis. (c) Prepare appropriate residual plots and comment on the model's adequacy.
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