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 the table below. Swimmer O Ho: Hg=0 H:Hd <0 Ho: Md = 0 H:Hd>0 1 O Ho: Hg <0 H₂: Hd=0 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Velocity (m/s) Water 0.90 0.92 1.00 1.10 1.20 1.25 1.25 1.30 1.35 1.40 1.40 1.50 1.65 1.70 1.75 1.80 1.80 1.85 1.90 1.95 Guar Syrup 0.93 0.97 0.95 1.14 1.23 1.23 1.27 1.30 1.34 1.42 1.44 1.53 1.59 1.70 1.80 1.77 1.84 1.86 1.89 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 significance level. (Use = #water #guar syrup) State the appropriate null and alternative hypotheses. ⒸH₂: Hd = 0 H₂: Hd #0 1.95 O Ho: Hd #0 H₂Hd=0 Find the test statistic. (Round your answer to two decimal places.) Use technology to find the P-value. (Round your answer to four decimal places.) P-value = State the conclusion in the problem context. O we fail to reject Ho. The data provide convincing evidence that swimming in guar syrup changes mean swimming speed. O we fail to reject Ho. The data do not provide convincing evidence that swimming in guar syrup changes mean swimming speed. O We reject Ho. The data do not provide convincing evidence that swimming in guar syrup changes mean swimming speed. O we reject Ho. The data provide convincing evidence that swimming in guar syrup changes mean swimming speed.