a.
Plot the interaction plot with pH being the trace factor.
a.
Explanation of Solution
The interaction plot with pH being the trace factor is given as follows:
b.
Check whether there is interaction between the factors pH and temperature.
b.
Answer to Problem 17E
There is interaction between the factors pH and temperature.
Explanation of Solution
From the interaction plot obtained in Part (a), it is clear that the lines of pH I and pH II are not parallel to each other. Therefore, there is interaction between the factors pH and temperature.
c.
Calculate the main pH effects and the main temperature effects.
c.
Answer to Problem 17E
The main pH effects are
The temperature effects are
Explanation of Solution
The overall mean is computed as follows:
The main pH effects are calculated as follows:
Therefore, the main pH effects are
The main temperature effects are calculated as follows:
Therefore, the main Pygmalion effects are
d.
Calculate the interaction effects.
d.
Answer to Problem 17E
The interaction effects are
Explanation of Solution
The interaction effects are calculated as follows:
Therefore, the interaction effects are
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Chapter 1 Solutions
Pearson eText for Probability & Statistics for Engineers and Scientists with R -- Instant Access (Pearson+)
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A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON