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every member of the population has an equal chance of being selected. |
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a sample in which a researcher uses the participants who are available for the study. |
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the difference between a sample statistic and a population parameter. |
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the central limit theorem |
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makes predictions about the characteristics of a distribution of sample means. |
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1. the mean of the sample means is equal to the population m. 2. the SD of the M is equal to the average distance a sample mean is from m. This property is also called the standard error of the mean. 3. the distribution of all sample means, of a given size, forms a normal distribution. |
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standard error of the mean |
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equal to the standard deviation of the sample means |
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standard error of the mean |
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sigmaM = sigma/square root N |
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impact of sample size on sampling error |
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the sample size has a direct influence on the standard error of the mean.
The larger the sample size, the closer the sample mean will be to the population m. Also, the closer the sample mean is to the population m, the less sampling error will be encountered. |
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the distance an observed mean is from m, expressed in standard units.
not the same as a z score !! |
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z= M-m ---- sigma M
in words: z statistic = sample mean - population mean. Divided by standard error of the mean. |
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