Ateacher wants to see if a new unit on taking square roots is students learn. she has five randomly selected students take a pre-test and a post test on the material.

the scores are out of 20. has there been improvement? (pre-post)

student

1

2

3

4

5

pre-test

11

9

10

14

10

post- test

18

17

19

20

18

the test statistic is -14.9.


what is the p-value?


a)p-value > 0.01

b)p-value > 0.02

c)p-value < 0.001

d)p-value < 0.002