In: Statistics and Probability
Mary wants to know if training with her program will improve runners’ times in the mile. She compares 5 runners whom she trains with 5 runners that receive standard instruction.
Improvement in time with Mary’s method in decrease in seconds |
Improvement in time without Mary’s method in decrease in seconds. |
35 |
19 |
50 |
15 |
40 |
25 |
45 |
10 |
35 |
24 |
effect size = TS^2/ (TS^2 + df)
= 5.539 ^2 / (5.539 ^2 + 8)
= 0.7932
c)
We conducted 2-sample t-test to know if training with Mary program will improve runners’ times in the mile
we observed significant improvement in time with Maty's programe as t(8) = 5.539,p< 0.001
Mary's program (M = 41,sd = 6.52) is 0.79 sd above that of without Mary's program