Normal Probability Distributions
Normal Distribution is a continuos random variable with a symmetric bell-shaped graph.
Standard Normal Distribution
This distribution has a bell-shaped graph, the mean is equal to 0 and standard deviation equal to 1.
Z scores
This is a distance on the x axis of the normal distribution meaning the standard deviations that any value is from the mean.
In statistics we say: The area value of 0.9306 that there is a probability of 0.9306 or 93.06% of randomly selecting a z score less than 1.48.
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Probabilities for Normal Distributions
This is also known as the area under the curve or relative frequency. This area should be equal to 1.
Ways to express areas under the bell-shaped curve.
- P ( a < z < b) for z values between a and b.
- P ( z > a) for z values greater than b.
- P ( z < a ) for z values smaller than a.
Critical Values
This is a z score to separate the area from the left to the right. Tables on books shows cumulative area from the left up to this z value.
Converting Nonstandard Distributions
Create a bell-shaped curve with the nonstardard values and indicate the mean and stardard deviation. more...
Sampling Distributions
Central Limit Theorem
A population with any distribution will look like a normal distribution as the sample size increases.
The distribution of the sample means can approach and be treated as a normal distribution. more...
Binomials from using normal distribution
Requirements for a normal distribution
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