Mary and Joe conduct two separate studies. By an amazing coincidence, they obtain exactly the same sample means and standard deviations. However, Mary's sample is twice as large as Joe's. Which of these is true?
A) Mary's alternative hypothesis will be larger than Joe's.
B) The two studies have the same likelihood of supporting their research hypotheses.
C) Joe is more likely to reject the null hypothesis than Mary.
D) Mary's critical values will be smaller than Joe's.

Question

Quizplus · Accepted Answer

Mary's larger sample size means her study has a lower standard error, leading to smaller critical values for the same level of significance compared to Joe's study with a smaller sample size.

Mary and Joe Conduct Two Separate Studies