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 syrup-like consistency. Velocity, in meters per second, was recorded and the results are given in the table below.

meters per second, was recorded and the results are given in the table below. 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 Velocity (m/s) Swimmer Water Guar Syrup 1 0.90 0.94 2 0.92 0.97 3 1.00 0.95 4 1.10 1.15 5 1.20 1.24 6 1.25 1.24 7 1.25 1.27 8 1.30 1.30 9 1.35 1.33 10 1.40 1.42 11 1.40 1.43 12 1.50 1.54 13 1.65 1.5 14 1.70 1.70 15 1.75 1.80 16 1.80 1.77 17 1.80 1.83 18 1.85 1.86 19 1.90 1.89 20 1.95 1.9519 1.90 1.89 20 1.95 1.95 The researchers concluded that swimming in guar syrup does not change mean swimming speed. Are the given data consistent with this conclusion? Carry out a hypothesis test using a 0.01 signicance level. (Use \"d = \"water ngar syrup') State the appropriate null and alternative hypotheses. Find the test statistic and P-value. (Round your test statistic to one decimal place and your Pvalue to three decimal places.) t = 4.393 \\I Pvalue = .179 x