Assume that under the null hypothesis, 
has an expected value of 500 and a standard deviation of 20.Under the alternative hypothesis,the expected value is 550.Sketch the probability density function for the null and the alternative hypothesis in the same figure.Pick a critical value such that the p-value is approximately 5%.Mark the areas,which show the size and the power of the test.What happens to the power of the test if the alternative hypothesis moves closer to the null hypothesis,i.e. ,, 
= 540,530,520,etc.?
Definitions:
Branching Tree Structure
A hierarchical data structure in which each node has zero or more children nodes, resembling the branches of a tree.
Comprehension of Propositions
The process of understanding the meaning and relationships between ideas or statements within a given text or conversation.
Psychological Research
This refers to the scientific study of the human mind, behaviors, and functions through structured experiments, observations, and analyses to gain understanding and insights.
Prototype Theory
A theory in which concepts or word meanings are formed around average or typical values.
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