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From your readings in the chapter or other online research, comment on the conce

ID: 3133342 • Letter: F

Question

From your readings in the chapter or other online research, comment on the concept of the standard normal distribution. Address one of these issues: standard-ness; normality; uniformity; parameters; the mean; the relationship to the variance; the importance of the standard normal distribution; what the standard normal distribution is; consistency; approximations; other distributions - probability, binomial, Poisson; the shape; the affect of changes; random variables. Title your post with the issue that you are going to address. Please...let no more than two class members address the same issue. A variety of responses is being sought here. Please respond to an issue that is different from the one that you address.

Explanation / Answer

What The Standard Normal Distribution is:

The standard normal distribution, commonly referred to the Z-distribution, is a special case of a normal distribution with the following properties:

A score on the standard normal distribution is called a Z-Score. It should be interpreted as the number of standard deviations a data point is above or below the mean. A positive Z-Score indicates that a point is above the average, and a negative Z-Score indicates a score below the average.

The standard normal distribution follows the Empirical Rule (68-95-99.7 Rule), stating that 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% of data falls within three standard deviations of the mean.