Maximizing Statistical Power: Importance Of Large Sample Sizes In Math Research

T/F: b/c small random samples have a lot of chance variation, even large population effects can fail to be significant if the sample is small

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True. When we have small random samples, the variability of the data increases, which can lead to a decrease in statistical power. Thus, even if a large population effect exists, a small sample size may not detect it due to the large amount of chance variation present. Therefore, it is recommended to use large samples wherever possible to increase the chances of detecting significant effects.

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