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. Before After 430 465 485 475 520 535 360 410 440 425 500 505 425 450 470 480 515 520 430 430 450 460 495 500 540 530 What type of alternative hypothesis is appropriate for this research question? O one-sided O two-sided Locate student 9 in the dataset. What rank will be given to this student? |3 X What is the value of the test statistic, T? Give answer to 1 decimal place. -1.9 X 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). 2.68 X Are the exam scores significantly higher after the stats course? O No Yes