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Suppose Mr. Rodriguez, a statistics teacher, is considering offering an optional after-school study session right before the next unit test.

Mr. Rodriguez touts his study session, saying that last year the $30$ subjects who attended scored an average of $10.3$ points higher than those who did not attend.

There is not convincing evidence the study session helps increase scores because


An increase of $10.3$ points could have easily happened by chance.


An increase of $10.3$ points is of no practical importance.


The sample size is too small to develop any reasonable conclusions.


There is no way to make the experiment double-blind.


Students who chose to go to this optional study session are most likely more motivated and would have done better regardless of the study session.

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