To investigate the fluid mechanics of swimming, twenty swimmers each swam a spec

Question

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 a table below. The researchers concluded that swimming in guar syrup does not change swimming speed. (Use a statistical computer package to calculate the P-value. Use water guar syrup. Round your test statistic to two decimal places and the P-value to three decimal places.)

Swimmer Velocity (m/s) Water Guar Syrup 1 1.94 1.52 2 1.49 1.50 3 1.09 1.02 4 2.00 1.46 5 1.99 1.53 6 2.00 1.07 7 0.97 1.18 8 0.94 1.67 9 1.44 1.87 10 1.02 1.00 11 1.75 1.58 12 1.70 1.21 13 1.86 0.92 14 1.81 1.90 15 1.16 1.70 16 1.06 0.93 17 1.29 1.34 18 1.14 1.73 19 0.98 1.11 20 1.19 1.95

Explanation / Answer

Test Statistic
X(Mean)=1.441
Standard Deviation(s.d1)=0.3999 ; Number(n1)=20
Y(Mean)=1.4095
Standard Deviation(s.d2)=0.337; Number(n2)=20
we use Test Statistic (t) = (X-Y)/Sqrt(s.d1^2/n1)+(s.d2^2/n2)
to =1.441-1.4095/Sqrt((0.15992/20)+(0.11357/20))
to =0.269
| to | =0.269
Critical Value
The Value of |t | with Min (n1-1, n2-1) i.e 19 d.f is 2.093
P-Value: Two Tailed ( double the one tail ) - Ha : ( P != 0.2694 ) = 0.791

[ANSWER]

to =0.269

df = 19

p = 0.791

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.