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I apologize my question should have read what are the characteristics of a standard normal probability distribution? Thank you

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What requirements are necessary for a normal probability distribution to be a standard normal probability?

For a normal probability distribution to be considered a standard normal probability distribution, it must have a mean of 0 and a standard deviation of 1. This standardization allows for the use of z-scores, which represent the number of standard deviations a data point is from the mean. Any normal distribution can be transformed into a standard normal distribution through the process of standardization.


When can you say the distribution is considered normal?

When its probability distribution the standard normal distribution.


What is Normal of probability distribution?

with mean and standard deviation . Once standardized, , the test statistic follows Standard Normal Probability Distribution.


Is standard normal distribution a probability distribution function?

Yes.


What is Normal of Standard Normal Probability Distribution?

with mean of and standard deviation of 1.


The mean of a standard normal probability distribution?

Zero.


What is The normal probability distribution with µ equals 0 and σ equals 1?

It is the Standard Normal distribution.


How does the standard normal distribution differ from the t-distribution?

The normal distribution and the t-distribution are both symmetric bell-shaped continuous probability distribution functions. The t-distribution has heavier tails: the probability of observations further from the mean is greater than for the normal distribution. There are other differences in terms of when it is appropriate to use them. Finally, the standard normal distribution is a special case of a normal distribution such that the mean is 0 and the standard deviation is 1.


Why is the standard normal probability distribution unique?

a mean of 1 and any standard deviation


What requirements are necessary for a normal probability distibution to be a standard normal probability distribution?

The mean must be 0 and the variance must be 1.


Why does a researcher want to go from a normal distribution to a standard normal distribution?

A researcher wants to go from a normal distribution to a standard normal distribution because the latter allows him/her to make the correspondence between the area and the probability. Though events in the real world rarely follow a standard normal distribution, z-scores are convenient calculations of area that can be used with any/all normal distributions. Meaning: once a researcher has translated raw data into a standard normal distribution (z-score), he/she can then find its associated probability.


What requirements are necessary for a normal probability distribution to be a standard normal probability distribution?

The normal distribution, also known as the Gaussian distribution, has a familiar "bell curve" shape and approximates many different naturally occurring distributions over real numbers.

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