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.SwimmerVelocity (m/s)WaterGuar Syrup10.900.9320.920.9831.000.9541.101.1451.201.2361.251.2371.251.2881.301.3091.351.34101.401.42111.401.44121.501.53131.651.59141.701.70151.751.80161.801.78171.801.84181.851.86191.901.89201.951.95The 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 μd = μwater − μguar syrup.) Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)t= ?P-value=?

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Description: 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 sec

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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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	Velocity (m/s)
Water	Guar Syrup
1	0.90	0.93
2	0.92	0.98
3	1.00	0.95
4	1.10	1.14
5	1.20	1.23
6	1.25	1.23
7	1.25	1.28
8	1.30	1.30
9	1.35	1.34
10	1.40	1.42
11	1.40	1.44
12	1.50	1.53
13	1.65	1.59
14	1.70	1.70
15	1.75	1.80
16	1.80	1.78
17	1.80	1.84
18	1.85	1.86
19	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 significance level. (Use

μ_d = μ_water − μ_{guar syrup}.)

Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)

t= ?

P-value=?

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