Answer to Question #334072 in Statistics and Probability for amor

Question

Professors regularly give two versions of an exam. The professor may also provide summary statistics for each version. Suppose the following summary is provided:

A student who took Version A says that he should get an extra point because his exam was harder as evidenced by the lower mean score for Version A, as shown by the mean score. Does the student have a good argument? Pick the best answer below.

1 point

We need to know the minimum and the maximum for each version to determine if this argument is valid.

No. The average scores are relatively close when considering the spread of the distributions. The difference might just be due to just chance.

Yes. Only 53 students took exam Version A while 65 students took exam Version B.

We need to know the shape of the distribution for each version to determine if this argument is valid.

No. The median of Version A is higher.

Yes. The difference in the exam scores means that there is a difference in difficulty between the versions.