15.54 A farmer bought three different types of fertilizers from a seller and wants to know which fertilizer will yield the most tomatoes on his farm. According to the seller, the granular fertilizer provides quick bursts of nutrients; the liquid fertilizer provides a richer harvest compared to the granular fertilizer; and the water-soluble fertilizer easily dissolves in water and provides the richest harvest. To determine whether this information is true, the farmer compared the amount of harvest after using these three types of fertilizers for three different batches. The outcome is recorded in the following table. Conduct an appropriate test to justify the seller’s claim at a 5% significance level.

Source of Variation Sum of Squares Degrees of Freedom Between groups 5.9942 2 Within groups 40.2479 60 Total 46.2421 62