Question: At a local college, two professors, Saber and Tooth, are teaching a large section of introductory statistics with 500 students in each section. They decide to compare their results from their first exam. It would be too cumbersome to compare all 1000 students, so they decide to select a sample of 50 students from each section. They want to find out whether or not the students’ performance in these two sections is comparable for this one exam.

The alternative hypothesis for a two tailed test of the above claim is

there is no difference between the mean score of prof. saber’s students and the mean score of prof. tooth’s students

there is a difference between the mean score of prof. saber’s students and the mean score of prof. tooth’s students

the mean score of prof saber’s students is higher than the mean score of prof tooth’s students

none of the above.