Maximizing Accurate Representations: The Impact Of Sample Size On Statistical Significance In Mathematics

T/F: b/c large random samples have SMALL chance variation, very small population effects can be highly significant if the sample is large

1

True.

Large random samples tend to have smaller chance variation and are more likely to accurately represent the population. This means that even very small effects within the population can become highly significant in a large sample size. As sample size increases, the sample mean becomes more representative of the population mean, and the margin of error decreases. Therefore, small differences in the sample mean can lead to large differences in statistical significance.

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