Answered: To investigate the fluid mechanics of…

Name: To investigate the fluid mechanics of swimming, twenty swimmers each s
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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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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.

(NOTE: data is the two images)

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

?_d = ?_water − ?_{guar syrup}.)

State the appropriate null and alternative hypotheses.

CORRECT = H₀: ?_d = 0

H_a: ?_d ≠ 0

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

P-value=

1
0.90
0.93
2
0.92
0.99
1.00
0.95
4.
1.10
1.14
1.20
1.23
6.
1.25
1.23
7
1.25
1.29
8
1.30
1.30
9.
1.35
1.31
10
1.40
1.42
11
1.40
1.41
12
1.50
1.53
13
1.65
1.57
14
1.70
1.70
1.75
1.80
16
1.80
1.79
1.80
1.81
18
1.85
1.86
19
1.90
1.87
20
1.95
1.95
15
17

Velocity (m/s)
Swimmer
Water
Guar Syrup
0.90
0.93
0.92
0.99
1.00
0.95
4
1.10
1.14
1.20
1.23
6.
1.25
1.23
7
1.25
1.29
8
1.30
1.30
1.35
1.31
10
1.40
1.42
11
1.40
1.41
12
1.50
1.53
13
1.65
1.57
14
1.70
1.70
1.75
1.80
16
1.80
1.79
17
1.80
1.81
18
1.85
1.86
15
3.
9,

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