a.
Find the number of levels of factor in the experiment.
a.
Answer to Problem 52SE
There are 5 levels of factor in the experiment.
Explanation of Solution
Given info:
The data represents the ANOVA table with missing values.
Calculation:
The levels of factors can be obtained as follows:
And,
Thus,
Thus,
Thus, there are 5 levels of factor in the experiment.
b.
Find the numbers of replicates were used in the experiment.
b.
Answer to Problem 52SE
There are four replicates of each levels are used.
Explanation of Solution
Justification:
From the ANOVA table, it is clear that total degree of freedom is 19. That is the total number of trials is 20
c.
Fill the missing information in the ANOVA table. Use Bound for the P-value.
c.
Answer to Problem 52SE
The complete ANOVA table is given below:
Source | DF | SS | MS | F | P-value |
Factor | 4 | 158.7 | 39.675 | 3.533 | |
Error | 15 | 167.5 | 11.167 | ||
Total | 19 | 326.2 | |||
Explanation of Solution
Calculation:
From the ANOVA table,
From part (a),
From Appendix table VI, the value F statistic with
d.
Find the conclusion can you draw about difference in the factor-level means if
d.
Answer to Problem 52SE
There is significant difference in the factor-level means if
There are no significant difference in the factor-level means if
Explanation of Solution
Calculation:
State the hypotheses:
Null hypothesis:
Alternative hypothesis:
The level of significance is 0.05. From part (b), it is clear that
Decision:
If
If
Conclusion:
Here, the
That is,
Therefore, the null hypothesis is rejected.
Thus, there is sufficient evidence to conclude that there is significant difference in the factor-level means at
Here,
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Chapter 13 Solutions
Applied Statistics and Probability for Engineers, Binder Ready Version
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