
To find: The AVOVA table.

Answer to Problem 1RE
The AVOVA table is shown in Table-1.
Explanation of Solution
Given information:
The given data is,
Plant | Concentration | |||||
A | 438 | 619 | 732 | 638 | ||
B | 857 | 1014 | 1153 | 883 | 1053 | |
C | 925 | 786 | 1179 | 786 | ||
D | 893 | 891 | 917 | 695 | 675 | 595 |
Calculation:
The
The total number in all the samples combined is,
From the given data the sample means are,
Further solve,
The grand mean is,
The value of
The standard of deviation of sample 1 is,
The value of
The standard of deviation of sample 2 is,
The value of
The standard of deviation of sample 3 is,
The value of
The standard of deviation of sample 4 is,
The treatment sum of squares is,
The error sum square is,
The degree of freedom for treatment sum of square is,
The degree of freedom for error sum of square is,
The treatment mean sum of square is,
The error mean sum of square is,
The value of test statistic is,
The ANOVA table is shown below.
Source of variation | Degree of freedom | Sum of square | Mean of square | F-value |
Treatments | 3 | 0.01307 | 0.004357 | 0.2887 |
Error | 8 | 0.1207 | 0.01509 | |
Total | 11 |
Table-1
Therefore, the AVOVA table is shown in Table-1.
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Chapter 14 Solutions
Elementary Statistics 2nd Edition
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