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# Elem Stats ch 6

### A Brief Version: Elementary Statistics Ch 6

Symmetric Distribution When the data values are evenly distributed about the mean (normal distribution).
Negatively or Left-Skewed Distribution When the majority of the data values fall to the right of the mean.
Positively or Right-Skewed Distribution When the majority of the data values fall to the left of the mean.
Normal Distribution A continuous symmetric, bell-shaped distribution of a variable
Standard Normal Distribution A normal distribution with a mean of 0 and a standard deviation of 1.
For a Standard Normal Distribution Z = (value-mean) / standard deviation
Sampling Distribution of Sample Means A distribution using the means computed from all possible random samples of a specific size taken from a population.
Sampling Error The difference between the sample measure and the corresponding population measure due to the fact the sampling is not a perfect representation of the population.
What are the properties of distribution of sample means? The mean will be the same as the population mean. The standard deviation of the sample means will be smaller than the standard deviation of the population & it will be = to the population standard deviation divided by the square root of the sample size.
Central Limit Theorem As the sample size n increases without limit, the shape of the distribution of the sample mean taken with replacement from a population with mu and standard deviation sigma will approach a normal distribution.
Correction Factor Is necessary for computing the standard error of the mean for samples drawn without replacement from a finite population.
Correction for Continuity A correction employed when a continuous distribution is used to approximate a discrete distribution
The Mean for the Binomial Distribution is (mu) = n * p
The Standard Deviation for the Binomial Distribution is (sigma) = The square root of (n * p * q).
q = 1 - p
Created by: dengler