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 O Ho: Hg=0 H:Hd <0 Ho: Md = 0 H:Hd>0 1 O Ho: Hg <0 H₂: Hd=0 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Velocity (m/s) Water 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 Guar Syrup 0.93 0.97 0.95 1.14 1.23 1.23 1.27 1.30 1.34 1.42 1.44 1.53 1.59 1.70 1.80 1.77 1.84 1.86 1.89 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 = #water #guar syrup) State the appropriate null and alternative hypotheses. ⒸH₂: Hd = 0 H₂: Hd #0 1.95 O Ho: Hd #0 H₂Hd=0 Find the test statistic. (Round your answer to two decimal places.) Use technology to find the P-value. (Round your answer to four decimal places.) P-value = State the conclusion in the problem context. O we fail to reject Ho. The data provide convincing evidence that swimming in guar syrup changes mean swimming speed. O we fail to reject Ho. The data do not provide convincing evidence that swimming in guar syrup changes mean swimming speed. O We reject Ho. The data do not provide convincing evidence that swimming in guar syrup changes mean swimming speed. O we reject Ho. The data provide convincing evidence that swimming in guar syrup changes mean swimming speed.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
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 the table below.
Velocity (m/s)
Swimmer
Ho: Md=0
Ha: Hd <0
1
O Ho: Md <0
H₂Hd = 0
2
o Ho Hoto
H₂Hd = 0
3
4
5
6
7
8
9
10
11
12
o Ho Mozo
H:H
0
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
1.59
1.70
1.80
1.77
1.84
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 = μwater-guar syrup)
1.86
State the appropriate null and alternative hypotheses.
O Ho: Md = 0
H₂:μg 0
1.89
1.95
Find the test statistic. (Round your answer to two decimal places.)
t =
Use technology to find the P-value. (Round your answer to four decimal places.)
P-value =
State the conclusion in the problem context.
O we fail to reject Ho. The data provide convincing evidence that swimming in guar syrup changes mean swimming speed.
O we fail to reject Ho. The data do not provide convincing evidence that swimming in guar syrup changes mean swimming speed.
O We reject Ho. The data do not provide convincing evidence that swimming in guar syrup changes mean swimming speed.
O We reject Ho. The data provide convincing evidence that swimming in guar syrup changes mean swimming speed.
Transcribed Image Text: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: Md=0 Ha: Hd <0 1 O Ho: Md <0 H₂Hd = 0 2 o Ho Hoto H₂Hd = 0 3 4 5 6 7 8 9 10 11 12 o Ho Mozo H:H 0 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 1.59 1.70 1.80 1.77 1.84 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 = μwater-guar syrup) 1.86 State the appropriate null and alternative hypotheses. O Ho: Md = 0 H₂:μg 0 1.89 1.95 Find the test statistic. (Round your answer to two decimal places.) t = Use technology to find the P-value. (Round your answer to four decimal places.) P-value = State the conclusion in the problem context. O we fail to reject Ho. The data provide convincing evidence that swimming in guar syrup changes mean swimming speed. O we fail to reject Ho. The data do not provide convincing evidence that swimming in guar syrup changes mean swimming speed. O We reject Ho. The data do not provide convincing evidence that swimming in guar syrup changes mean swimming speed. O We reject Ho. The data provide convincing evidence that swimming in guar syrup changes mean swimming speed.
Expert Solution
steps

Step by step

Solved in 3 steps with 6 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman