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A standard normal variable, often denoted by (Z), is a special type of continuous random variable that plays a fundamental role in statistics, particularly in inferential procedures. It is a transformation of any normal variable (X) into a dimensionless form using the formula (Z = \frac{X - \mu}{\sigma}), where (\mu) is the mean of (X) and (\sigma) is the standard deviation. This transformation allows comparison of scores from different normal distributions on a common scale, making the standard normal variable essential in hypothesis ________ _______ __________ _____ ___ ______.
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