Question

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 the P-value. Use μd = μwater − μguar syrup. Round your test statistic to two decimal places and the P-value to three decimal places.) Swimmer Velocity (m/s) Water Guar Syrup 1 0.97 1.43 2 1.03 1.90 3 1.48 1.79 4 1.28 1.93 5 0.90 1.30 6 1.27 1.04 7 1.22 1.90 8 1.45 1.84 9 1.34 1.38 10 1.54 1.05 11 1.87 1.59 12 1.26 1.88 13 1.59 1.33 14 1.37 1.30 15 1.38 1.12 16 1.12 1.30 17 1.58 1.28 18 1.63 1.14 19 1.43 1.73 20 0.97 2.00

t = df =

P =

Is there sufficient evidence to suggest that there is any difference in swimming time between swimming in guar syrup and swimming in water? Carry out a hypothesis test using α = 0.01 significance level.

Yes

No

Answer 1