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: Mg=0 H₂: Hg > O ⒸH₂M -0 H₂i Mg <0 Hoi Ha=0 H₂i Hg 0 1 Hoi Mg <0 H₂: Hg = 0 2 3 4 5 6 7 8 9 10 11 12 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 1.58 1.70 1.80 1.77 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 Hg Hwater Mguar syrup) State the appropriate null and alternative hypotheses. Ho: MgO 1.84 1.86 1.95 Find the test statistic. (Round your answer to two decimal places.) x Use technology to find the P-value. (Round your answer to four decimal places.) P-value= Xx
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: Mg=0 H₂: Hg > O ⒸH₂M -0 H₂i Mg <0 Hoi Ha=0 H₂i Hg 0 1 Hoi Mg <0 H₂: Hg = 0 2 3 4 5 6 7 8 9 10 11 12 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 1.58 1.70 1.80 1.77 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 Hg Hwater Mguar syrup) State the appropriate null and alternative hypotheses. Ho: MgO 1.84 1.86 1.95 Find the test statistic. (Round your answer to two decimal places.) x Use technology to find the P-value. (Round your answer to four decimal places.) P-value= Xx
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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Question
T AND P VALUE PLEASE
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.
Swimmer
Ho: Md #0
Ha: Md = 0
Но на
= 0
Ha: Md > 0
Ho: Md
Ho: Md = 0
Ha: Md < 0
0 =
Ha: Md = 0
1
Ho: Md <O
Ha: Md
= 0
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
Velocity (m/s)
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
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 μd = "water
State the appropriate null and alternative hypotheses.
1.58
1.70
1.80
1.77
1.84
1.86
1.88
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 =
X
μguar syrup
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