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The positive critical value depends on the distribution and then the parameters (if any) which characterise the distribution.
A normal distribution can have any value for its mean and any positive value for its variance. A standard normal distribution has mean 0 and variance 1.
An x value that is smaller than the mean cannot have a positive z score.
Use the context: if the variable should be greater than the mean then z is positive and if less than the mean, it should be negative.
discrete distribution is the distribution that can use the value of a whole number only while continuous distribution is the distribution that can assume any value between two numbers.