To investigate the fluid mechanics of swimming, twenty swimmers each

To investigate the fluid mechanics of swimming, twenty swimmers each swam a specified distance in a water-filled pool and in a pool where the water was thickened with food grade guar gum to create a syrup-like consistency. Velocity, in meters per second, was recorded and the results are given in a table below. The researchers concluded that swimming in guar syrup does not change swimming speed. (Use a statistical computer package to calculate P.)

Swimmer Velocity (m/s)

Water Guar Syrup

1 0.93 2.00

2 1.11 1.46

3 1.06 1.48

4 1.62 1.10

5 1.27 1.70

6 1.38 1.15

7 1.91 0.96

8 1.60 1.93

9 1.29 1.92

10 1.05 1.43

11 1.76 1.54

12 1.42 1.06

13 1.16 1.33

14 0.92 1.17

15 1.28 1.88

16 1.32 1.43

17 1.08 1.26

18 1.53 1.53

19 1.89 0.97

20 1.84 1.34

t = (Round the answer to two decimal places.)

df =

P = (Round the answer to three decimal places.)