Normal Distribution and Normal curve; sample vs population

Describe the basic characteristics of a normal distribution and the normal curve. What are z scores and how are they used in relation to distributions and raw scores? What is the difference between population and sampling distributions? Provide at least one example for each concept, explaining how the chosen example illustrates the concept.

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Normal Distribution and Normal curve
Provide at least one example for each concept, explaining how the chosen example illustrates the concept.
1. Describe the basic characteristics of a normal distribution and the normal curve.
A normal distribution is:
? Symmetrical & uniform in shape
? Has the mean in the middle
? Mean and standard deviation determine the size of the curve but the shape is always symmetrical (meaning you can fold it in half and it matches on either side of the mean)
? standard deviation tells you the "spread" (width)
A normal curve is the curve that contains all the data points such as this one:

(see attached word document for diagram)

? Will have a certain percent of the data within each standard deviation (see below)

(see attached word document for diagram)

You can find normal distributions for all sorts of things but it usually requires ...

Solution Summary

Your tutorial is 567 words and includes four diagrams to give you examples of the concepts. No references because no outside sources were used.

...sample sizes and calculating certain areas under a normal, bell-shaped curve. ... of sample means is a more normal distribution than a distribution of scores ...

... b. in the lower tail of the standard normal curve c. divided ... 25. In a simple random sample, each item in the population has. ... 1. The standard normal distribution. ...

... m. d. 100(1-x)% of all possible samples have means ... m. (Hint draw a graph for the distribution of x ... the z-scores dividing the area under the normal curve into a ...

Normal distributions and Z scores Box plot and ... is supposed to be the "bell curve", the graphical ... probability density of the normal distribution (also called ...

... The highest point of the bell curve can be looked at ... speaking, if you have a normal distribution, you can ... 1 standard deviation away from the mean of the curve. ...

... n = 100 compare to the bell-shaped curve... In your own words describe the standard normal distribution. ... used to find probabilities for all normal distributions. ...

... I added an example for illustrative purposes ... such as the normal ("bell curve") distribution, then one ... For normal distributions, the empirical rule states that ...

... 0.5/√100) = −2.8 P(x > 5.12) = Area under the Standard Normal Curve to the right of −0.28, which is 0.61 (d) Since the distribution is normal, we use ...