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. Velocity (m/s) Swimmer Ho: Mg=0 H₂: Hg > O ⒸH₂M -0 H₂i Mg <0 Hoi Ha=0 H₂i Hg 0 1 Hoi Mg <0 H₂: Hg = 0 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Water Guar Syrup 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 0.93 0.97 0.95 1.14 1.23 1.23 1.27 1.30 1.34 1.42 1.44 1.53 1.58 1.70 1.80 1.77 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 Hg Hwater Mguar syrup) State the appropriate null and alternative hypotheses. Ho: MgO 1.84 1.86 1.95 Find the test statistic. (Round your answer to two decimal places.) x Use technology to find the P-value. (Round your answer to four decimal places.) P-value= Xx