Bill and Bob conduct two separate studies. By an amazing coincidence, they obtain exactly the same sample means and standard deviations. However, Bill's sample is twice as large as Bob's. Which of these is true?
A) Bill's critical values will be larger than Bob's.
B) Bill's degrees of freedom are smaller than Bob's.
C) Bill is more likely to reject the null hypothesis than Bob.
D) Bill's value of α will be smaller than Bob's.

Question

Quizplus · Accepted Answer

Bill's larger sample size gives him more statistical power, making it more likely for him to reject the null hypothesis if there is indeed an effect.

Bill and Bob Conduct Two Separate Studies