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A Farmer Plants Tomato Seeds into Four Different Plots

question 13

Essay

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 shown 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?

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Definitions:

Primary Gain

In psychoanalytic theory, the direct internal benefits derived from manifesting a psychological symptom, such as relief from anxiety or conflict.

Cognitive-Behavioral

Relating to a therapeutic approach that addresses dysfunctional emotions, behaviors, and cognitions through a goal-oriented, systematic procedure.

Psychodynamic

A psychological perspective that emphasizes unconscious psychological processes (for example, wishes and fears of which we're not fully aware) and contends that childhood experiences are crucial in shaping adult personality.

Non-Western Medical

Healthcare practices and beliefs that originate outside of traditional Western medicine, often involving holistic and natural approaches.