(a)
Explain the factors in this experiment.
(a)
Explanation of Solution
In this data, there are two factors, that is, the mental outlook is 2 levels and the physical condition is 3 levels.
Table -1 shows the ANOVA estimated value as follows:
Table -1
Source | Degree of freedom | Sum of square | Mean square | F |
P -value | F crit |
Sample | 2 | 2118.4 | 1059.22 | 24.48 | 0.000 | 3.17 |
Columns | 1 | 166.7 | 166.67 | 3.85 | 0.0548 | 4.02 |
Interaction | 2 | 20 | 10.02 | 0.23 | 0.7941 | 3.17 |
Within | 54 | 2336.2 | 43.26 | |||
Total | 59 | 4641.3 |
From the estimated result, the test for interaction is known, F value is 0.23, and the p-value is 0.7941. Thus, there is no adequate evidence to infer interaction.
(b)
Conclude whether the pessimists and optimists differ in their recovery times.
(b)
Explanation of Solution
From the estimated result, the F-value is 3.85 and the p-value is 0.0548. Thus, there is no adequate evidence to conclude that the differences exist between optimists and pessimists.
(c)
Conclude whether the physical condition affects the recovery times.
(c)
Explanation of Solution
From the estimated result, the F-value is 24.48 and the p-value is 0. Thus, there is adequate evidence to conclude that the differences exist between the three levels of physical condition.
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Chapter 14 Solutions
Statistics for Management and Economics (Book Only)
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