On average,a sample of n = 16 scores from a population with σ = 10 will provide a better estimate of the population mean than you would get with a sample of n = 16 scores from a population with σ = 5.

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A smaller population standard deviation (σ) indicates that the scores in the population are more tightly clustered around the mean, meaning that a sample of a given size is more representative of the population. Therefore, a sample of n = 16 scores from a population with σ = 5 will provide a better estimate of the population mean than a sample of n = 16 scores from a population with σ = 10.

On Average,a Sample of N = 16 Scores from a Population