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If a population standard deviation is equal to 24.8, then the sampling distribution of the sample mean 
will have a standard deviation that is less than 24.8 for all possible sample sizes.
Population Standard Deviation
A measure of the dispersion or spread of a set of data points in a population, representing the square root of the variance.
Sampling Distribution
The profile of probability associated with a certain statistic, influenced by a sample chosen randomly.
Sample Mean
The average value of a sample set of numbers, calculated by summing all the observations and then dividing by the number of observations.
- Comprehend the notion of standard error and its importance in delineating the variability of sample statistics.
- Understand the influence of sample size on the sampling distribution, particularly its impact on the standard error and distribution's contour.
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Learning Objectives
- Comprehend the notion of standard error and its importance in delineating the variability of sample statistics.
- Understand the influence of sample size on the sampling distribution, particularly its impact on the standard error and distribution's contour.
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