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 0.94 2 0.92 0.99 3 1.00 0.95 4 1.10 1.15 S 1.20 1.24 6 1.25 1.24 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 1.50 1.54 13 1.65 1.57 14 1.70 1.70 1.75 16 1.80 1.79 17 1.80 1.81 18 1.85 1.86 19 1.90 1.87 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 "water" "guar syrup) State the appropriate null and alternative hypotheses. HH-0 Ho-0 Ho: H0 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. We fail to reject Ho. The data do not provide convincing evidence that swimming in guar syrup changes mean swimming speed. We fail to relect H. The data provide convincing evidence that swimming in quar syrun changes mean swimming speed.
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 0.94 2 0.92 0.99 3 1.00 0.95 4 1.10 1.15 S 1.20 1.24 6 1.25 1.24 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 1.50 1.54 13 1.65 1.57 14 1.70 1.70 1.75 16 1.80 1.79 17 1.80 1.81 18 1.85 1.86 19 1.90 1.87 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 "water" "guar syrup) State the appropriate null and alternative hypotheses. HH-0 Ho-0 Ho: H0 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. We fail to reject Ho. The data do not provide convincing evidence that swimming in guar syrup changes mean swimming speed. We fail to relect H. The data provide convincing evidence that swimming in quar syrun changes mean swimming speed.
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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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
Velocity (m/s)
Water
Guar Syrup
1
0.90
0.94
2
0.92
0.99
3
1.00
0.95
4
1.10
1.15
S
1.20
1.24
6
1.25
1.24
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
1.50
1.54
13
1.65
1.57
14
1.70
1.70
1.75
16
1.80
1.79
17
1.80
1.81
18
1.85
1.86
19
1.90
1.87
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 "water" "guar syrup)
State the appropriate null and alternative hypotheses.
HH-0
Ho-0
Ho: H0
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.
We fail to reject Ho. The data do not provide convincing evidence that swimming in guar syrup changes mean swimming speed.
We fail to relect H. The data provide convincing evidence that swimming in quar syrun changes mean swimming speed.
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