Question

A coach uses a new technique in training middle distance runners. The times for 8 different athletes to run 800 meters before and after this training are shown below.

Athlete	A	B	C	D	E	F	G	H
Time before training (secs)	112.1	108	108	117.2	116.8	118.4	118.1	112.1
Time after training (secs)	112.7	107.6	105.6	118	116.5	118.5	114.5	108.2

Using a 0.10 level of significance, test the claim that the training helps to improve the athletes’ times for the 800 meters. Please state:
critical value
p-value
test statistic
decision

Answer 1