A Brief Version: Elementary Statistics Ch 6
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Symmetric Distribution | When the data values are evenly distributed about the mean (normal distribution).
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| Negatively or Left-Skewed Distribution | When the majority of the data values fall to the right of the mean.
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| Positively or Right-Skewed Distribution | When the majority of the data values fall to the left of the mean.
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| Normal Distribution | A continuous symmetric, bell-shaped distribution of a variable
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| Standard Normal Distribution | A normal distribution with a mean of 0 and a standard deviation of 1.
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| For a Standard Normal Distribution Z = | (value-mean) / standard deviation
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| Sampling Distribution of Sample Means | A distribution using the means computed from all possible random samples of a specific size taken from a population.
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| 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.
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| 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.
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| 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.
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| Correction Factor | Is necessary for computing the standard error of the mean for samples drawn without replacement from a finite population.
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| Correction for Continuity | A correction employed when a continuous distribution is used to approximate a discrete distribution
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| The Mean for the Binomial Distribution is (mu) = | n * p
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| The Standard Deviation for the Binomial Distribution is (sigma) = | The square root of (n * p * q).
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| q = | 1 - p
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