A chemical firm wants to determine how four catalysts differ in yield. The firm runs the experiment in three of its plants, types A, B, C. In each plant, the yield is measured with each catalyst. The yield (in quintals) are as follows:
| Plant | Catalyst | |||
| 1 | 2 | 3 | 4 | |
| A | 2 | 1 | 2 | 4 |
| B | 3 | 2 | 1 | 3 |
| C | 1 | 3 | 3 | 1 |
(a) Perform an ANOVA and comment whether the yield due to a particular catalyst is
significant or not at 5% level of significance. Given F3,6= 4.76. (5)
(b) Construct ANOVA table for one-way classification.
ANOVA to Analyze Catalyst Effect on Yield
(a) Analysis and Significance Testing:
We can perform an ANOVA to assess whether the yield differences due to the catalysts are statistically significant. Here's the breakdown:
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Null Hypothesis (H0): There is no significant difference in yield between the four catalysts.
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Alternative Hypothesis (Ha): There is a significant difference in yield between at least two catalysts.
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Significance Level (α): α = 0.05 (5% level of significance)
We are given F-statistic (F3,6) = 4.76.
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