A farmer plants tomato seeds into four different plots.In each plot,there is a different fertilizer treatment that is applied to the soil.After three weeks,he measures the height of each tomato plant from each of the four plots.The data he collects is given below. 
a.Construct an ANOVA table.
b.Set up the competing hypothesis to test whether there are some differences in the mean heights between the different plots/fertilizers.
c.At the 5% significance level,what is the conclusion to the test?
d.Consider the sample standard deviations for each plot.Which of the assumptions might be violated?
Definitions:
Motion Study
An examination and analysis of the movements involved in performing a task to improve work efficiency by reducing wasteful motions.
Subsystem
A smaller component of a larger system.
Open System
An organization or entity that interacts with its environment by exchanging information, resources, and influences with its context.
Closed System
An organizational model that operates independently of external influences, focusing inwardly for resources and information.
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