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                        Ha: ?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.)   t= P-value=

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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
                       Ha: ?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.)
 
t=
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
Transcribed Image Text: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,
Transcribed Image Text: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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