An agency offers preparation courses for a graduate school admissions test to students. As part of an experiment to evaluate the merits of the course, 12 students were chosen and divided into 6 pairs in such a way that the members of any pair had similar academic records. Before taking the test, one member of each pair was assigned at random to take the preparation course, while the other member did not take a course. The achievement test scores are contained in the Student_Prep.jmp file. Is the true mean test score higher for students taking the preparation course? Assume that the differences in scores follow a normal distribution. Use JMP to conduct the appropriate hypothesis test. Answer the following questions:

State the Null and Alternative Hypothesis statements

Conduct hypothesis test using a 5% level of significance:

What is the correct test statistic?

Sample Data, Computation of Test Statistic and .

(Paste JMP output with data input fields here.)

State decision rules in terms of the . What can we conclude based on the sample information? What does this mean in terms of the problem?