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 us 0.01 significance level. (Use 4g = Hwater - Hguar syrup) State the appropriate null and alternative hypotheses. H,: Hg> 0 o = Pri :°H O Hoi Hd = 0 H: Hg#0 O Ho: Hd =0 O Hoi Hd

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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.
Velocity (m/s)
Swimmer
Water
Guar Syrup
1
0.90
0.93
0.92
0.98
3
1.00
0.95
4
1.10
1.14
1.20
1.23
6.
1.25
1.23
7
1.25
1.28
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
1.59
14
1.70
1.70
15
1.75
1.80
16
1.80
1.78
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 Water Guar Syrup 1 0.90 0.93 0.92 0.98 3 1.00 0.95 4 1.10 1.14 1.20 1.23 6. 1.25 1.23 7 1.25 1.28 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 1.59 14 1.70 1.70 15 1.75 1.80 16 1.80 1.78
16
1.80
1.78
17
1.80
1.81
18
1.85
1.86
19
1.90
1.89
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 4 = Hwater - "quar syrup)
State the appropriate null and alternative hypotheses.
o = Pri :°H O
O Ho: H = 0
H: Hg#0
o = Pri :°H O
O Ho: Hd<0
H: H = 0
H: Hg = 0
0 = Pri :°H O
Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)
t = |-1.1
p-value =
0.301
Transcribed Image Text:16 1.80 1.78 17 1.80 1.81 18 1.85 1.86 19 1.90 1.89 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 4 = Hwater - "quar syrup) State the appropriate null and alternative hypotheses. o = Pri :°H O O Ho: H = 0 H: Hg#0 o = Pri :°H O O Ho: Hd<0 H: H = 0 H: Hg = 0 0 = Pri :°H O Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t = |-1.1 p-value = 0.301
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