Inferential statistics are used mainly for formality. If the sample mean of one group is larger than the other group, you can safely conclude that there was a statistically significant different based on the existence of a difference alone, without computing any statistics.

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Inferential statistics are used to draw conclusions about a population based on sample data. Simply observing a difference between two groups does not necessarily mean that the difference is statistically significant. Statistical tests must be conducted to determine the likelihood of the observed difference occurring by chance.

Inferential Statistics Are Used Mainly for Formality