Does a statistics course improve a student's mathematicsskills,as measured by a national test? Suppose a random sample of13 students takes the same national mathematics exam prior toenrolling in a stats course and just after completing the course.At a 1% level of significance determine whether the scores afterthe stats course are significantly higher than the scores before.Take the differences = before - after.
Before    After
430Â Â Â Â Â Â Â Â 465
485Â Â Â Â Â Â Â Â 475
520Â Â Â Â Â Â Â Â 535
360Â Â Â Â Â Â Â Â 410
440Â Â Â Â Â Â Â Â 425
500Â Â Â Â Â Â Â Â 505
425Â Â Â Â Â Â Â Â 450
470Â Â Â Â Â Â Â Â 480
515Â Â Â Â Â Â Â Â 520
430Â Â Â Â Â Â Â Â 430
450Â Â Â Â Â Â Â Â 460
495Â Â Â Â Â Â Â Â 500
540Â Â Â Â Â Â Â Â 530
Locate student 9 in the dataset. What rank will be given to thisstudent? ________.
What is the value of the test statistic, T? Give answer to 1decimal place. ________.
What is the critical value for the study? (Hint: student 10 will bedropped from the analysis, since the scores are the same before andafter the stats class). ________.
