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1.    An education professor wanted to know if a new required online tutoring program helped students

improve their understanding of concepts. He gave students a pre-test at the beginning of the semester, and then ended the semester with a post-test measuring the same information as the pre-test. Were his students scores improved?


Student Pre-test Post-test

A 100 100

B 92 95

C 85 93

D 81 90

E 80 89

F 71 82

G 71 80

H 71 79

I 71 78

J 57 76

K 56 76

L 55 76

M 52 76

N 51 69

O 51 68

P 51 57

Q 41 56

R 40 56

S 38 56

T 34 48



a.    Which statistical test would you use?

b.    Give a brief one-sentence statement that led you to choose that test.

c.    Provide your null (H0) and alternative (Ha) hypothesis.

d.    Perform the test.

e.    What is your statistic?

f.     What decision do you make?

g.    What informed you to make that decision?

h.    What is the conclusion?

i.     What limitations or other considerations would you point out for this study?


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