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Chapter 7: Probability and Samples, Occurs when original population is not…
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- Every distribution's mean is derived from a different sample
- A theoretical probability distribution is the distribution of sample means
- All potential sample means from samples of the same size make up the distribution of sample means
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- Mean of distribution of sample means = population mean
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To determine probabilities, researchers utilize the distribution of sample means.
Sample means within the distribution can be found using standardized scores, or z-scores.
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- Population includes all the scores of interest
- A sample is a portion chosen from the population
- Various random samples yield different sample means
- M stands for the sample man
- μ represents population mean
- The standard error is the standard deviation of the sample mean distribution
- The average difference between sample means and population means is measured by standard error
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Larger samples provide more stable estimates of pop. mean
Smaller samples produces greater variability among sample means