Find a power series representation for the function. 
Definitions:
Hypothesis Test
A method in statistics used to determine whether there is enough evidence in a sample of data to infer that a certain condition holds true for the entire population.
Average Final Exam Score
The mean score of students' final exams, providing a measure of performance at the end of a course.
Degrees of Freedom
The number of independent pieces of information used in the calculation of a statistic, often impacting the critical values in hypothesis testing.
Two Tailed Test
A statistical test that evaluates the possibility of a relationship in both directions, allowing for the rejection of a null hypothesis for extreme values at either end of the probability distribution.
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