A study was done to determine if students learn better in an online basic statistics class versus a traditional face-to-face (f2f)course.A random sample of 12 students in an online course and 15 students in an f2f course was taken.The scores (out of 100)on the final exam of both groups are shown below. Should a pooled t procedure be used here?
A)Yes,the standard errors are close.
B)Yes,standard deviations are close enough.
C)No,the sample sizes are not close.
D)No,the standard errors are not close enough.

Question

A study was done to determine if students learn better in an online basic statistics class versus a traditional face-to-face (f2f)course.A random sample of 12 students in an online course and 15 students in an f2f course was taken.The scores (out of 100)on the final exam of both groups are shown below.  Should a pooled t procedure be used here?
A)Yes,the standard errors are close. 
B)Yes,standard deviations are close enough. 
C)No,the sample sizes are not close. 
D)No,the standard errors are not close enough.

Quizplus · Accepted Answer

In order to use a pooled t procedure, the standard deviations of the two samples should be relatively close. In this case, the standard deviation of the online group is 16.7 and the standard deviation of the f2f group is 18.9, which are not too different from each other. Therefore, choice B is the best option.

A Study Was Done to Determine If Students Learn Better