A random sample of Hope College students was taken and one of the questions asked was how many hours per week they study. You want to see if there is a difference between males and females in terms of average study time. The sample results are given in the following table.
-Assuming the distribution of study times is not strongly skewed for either sample, which approach would be more appropriate for these data: simulation-based or theory-based?
A) Simulation-based, since this approach works for any sample size.
B) Theory-based, since both 125 and 75 are greater than 20.
C) Either approach would be appropriate.
D) Neither approach would be appropriate.

Question

A random sample of Hope College students was taken and one of the questions asked was how many hours per week they study. You want to see if there is a difference between males and females in terms of average study time. The sample results are given in the following table. 
-Assuming the distribution of study times is not strongly skewed for either sample, which approach would be more appropriate for these data: simulation-based or theory-based?
A) Simulation-based, since this approach works for any sample size. 
B) Theory-based, since both 125 and 75 are greater than 20. 
C) Either approach would be appropriate. 
D) Neither approach would be appropriate.

Quizplus · Accepted Answer

Both simulation-based and theory-based approaches are appropriate when the distribution is not strongly skewed and sample sizes are sufficiently large (greater than 20).

A Random Sample of Hope College Students Was Taken and One