The researchers concluded that swimming in guar syrup does not change mean swimming speed. Are the given data consistent with this čonci significance level. (Use H = Hwater- Hquar syrup) State the appropriate null and alternative hypotheses. OHo: Hg = 0 H: Hg> 0 Ho: Hd = 0 H: Hg <0 OHo: Hg<0 H,: H = 0 O Ho: Hd#0 H: Hg = 0 OHo: Ha = 0 H: Hg#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= -1.1 P-value = 0.301 State the conclusion in the problem context. O Wwe fail to reject H. The data do not provide convincing evidence that swimming in guar syrup changes mean swimming speed. We reject Ho. The data do not provide convincing evidence that swimming guar syrup changes mean swimming speed.

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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
0.91
2
0.92
0.99
3
1.00
0.95
4
1.10
1.12
1.20
1.21
6.
1.25
1.21
7
1.25
1.29
8
1.30
1.30
9.
1.35
1.34
10
1.40
1.42
11
1.40
1.44
1.50
1.51
13
1.65
1.58
14
1.70
1.70
15
1.75
1.80
16
1.80
1.79
17
1.80
1.84
5,359
61
12
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 0.91 2 0.92 0.99 3 1.00 0.95 4 1.10 1.12 1.20 1.21 6. 1.25 1.21 7 1.25 1.29 8 1.30 1.30 9. 1.35 1.34 10 1.40 1.42 11 1.40 1.44 1.50 1.51 13 1.65 1.58 14 1.70 1.70 15 1.75 1.80 16 1.80 1.79 17 1.80 1.84 5,359 61 12
17
1.80
1.84
18
1.85
1.86
19
1.90
1.88
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 = Hwater Hguar syrup)
State the appropriate null and alternative hypotheses.
Ho: Hd = 0
OHo: Hd = 0
H: Hd<O
H: Hd = 0
0 > Prt :0H
Hai Hd = 0
0 + Prn :0H
Ho: Ho = 0
H: Ho#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 = -1.1
P-value =
0.301
State the conclusion in the problem context.
We fail to reject H. The data do not provide convincing evidence that swimming in guar syrup changes mean swimming speed.
We reject H. The data do not provide convincing evidence that swimming in guar syrup changes mean swimming speed.
We reiect Ho, The data provide convincing evidence that swimmina in auar syrup changes mean swimmina speed.
Transcribed Image Text:17 1.80 1.84 18 1.85 1.86 19 1.90 1.88 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 = Hwater Hguar syrup) State the appropriate null and alternative hypotheses. Ho: Hd = 0 OHo: Hd = 0 H: Hd<O H: Hd = 0 0 > Prt :0H Hai Hd = 0 0 + Prn :0H Ho: Ho = 0 H: Ho#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 = -1.1 P-value = 0.301 State the conclusion in the problem context. We fail to reject H. The data do not provide convincing evidence that swimming in guar syrup changes mean swimming speed. We reject H. The data do not provide convincing evidence that swimming in guar syrup changes mean swimming speed. We reiect Ho, The data provide convincing evidence that swimmina in auar syrup changes mean swimmina speed.
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