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A Continuous Random Variable X Is Normally Distributed with a Mean

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A continuous random variable x is normally distributed with a mean of 100 km and a standard deviation of 20 km. Given that x = 120, its corresponding z-score is -1.0.


Definitions:

Type I Error

A statistical error occurring when a null hypothesis is wrongly rejected, meaning a false positive result is concluded.

Type II Error

An error that occurs when a false null hypothesis fails to be rejected.

Power Analysis

A statistical technique used to determine the sample size required to detect an effect of a given size with a certain degree of confidence.

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