To investigate the fluid mechanics of swimming, twenty swimmers each swam a spec

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 water guar syrup. Round your test statistic to two decimal places and the P-value to three decimal places.)

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 = 0.01significance level.

YesNo   

Swimmer Velocity (m/s) Water Guar Syrup 1 1.04 1.88 2 0.99 1.58 3 1.05 1.92 4 1.05 1.53 5 1.14 1.81 6 1.06 1.57 7 1.68 1.08 8 1.99 1.60 9 1.78 1.08 10 1.26 1.41 11 1.50 0.98 12 1.44 1.60 13 1.67 1.82 14 1.00 1.06 15 1.99 1.18 16 1.13 1.39 17 1.79 1.42 18 1.26 1.17 19 1.24 1.05 20 1.38 1.46

Explanation / Answer

t = -0.50422

df = 19

p-value = 0.6199

There is NO sufficient evidence as p-value = 0.6199> 0.01 = level of significance

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