Evaluate the definite integral. 
Definitions:
Population Standard Deviation
A measure of the dispersion or variability of a set of data points in a population.
Sample Size
The number of observations or elements selected from a population for the purpose of statistical analysis.
Confidence Interval
A Confidence Interval is a range of values derived from sample statistics that is likely to contain the true population parameter at a given confidence level.
Population Mean
The average value of a set of characteristics (e.g., measurements, scores) for an entire population, calculated as the sum of all values divided by the number of values.
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