To investigate the fluid mechanics of swimming, twenty swimmers

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.)