Does a statistics course improve a student's mathematics skills,as measured by a national test? Suppose a random sample of 13 students takes the same national mathematics exam prior to enrolling in a stats course and just after completing the course. At a 1% level of significance determine whether the scores after the stats course are significantly higher than the scores before. Take the differences = before - after.

BeforeAfter

430465

485475

520535

360410

440425

500505

425450

470480

515520

430430

450460

495500

540530

What type of alternative hypothesis is appropriate for this research question?

two-sided

one-sided

Locate student 9 in the dataset. What rank will be given to this student?

What is the value of the test statistic, T? Give answer to 1 decimal place.

What is the critical value for the study? (Hint: student 10 will be dropped from the analysis, since the scores are the same before and after the stats class).

Are the exam scores significantly higher after the stats course?

No

Yes