Question

Conduct an appropriate hypothesis test using the provided information [Neatly show all steps / necessary calculations, including both a complete comparison & interpretation statement AND plain English inference statement].

Thirty participants in an after-school tutoring program complete a comprehension test [test 1] on the day the program starts. After six weeks, the same students complete another test of their comprehension [test 2]. A random sampling of the participants forms the dataset provided below. Is there a statistically significant difference between the students’ first and second comprehension tests at a .05 level of significance?

Student ID	Test 1 Score	Test 2 Score
1	14	17
5	8	15
9	5	5
12	10	9
17	4	5
24	12	11
26	9	11

Answer 1

H0: mu(d) = 0

H1 : mu(d) is not equal to zero.

Conclusion : Fail to reject H0.

That is, there is not sufficient evidence to conclude that there is a statistically significant difference between the students’ first and second comprehension tests.