The Cougar Swim Club acquired some Speedo Fastskin bodysuits

The Cougar Swim Club acquired some Speedo Fastskin bodysuits and decided to test them out. A number of the club\'s fastest swimmers performed a 50m freestyle swim in a regular spandex bodysuit and in a Speedo Fastskin suit. The table below summarizes their times in seconds (s).

Swimmer

spandex

Speedo Fastskin

1

31.1

29.1

2

28.9

30.4

3

31.4

25.3

4

34.9

31.7

5

27.7

28.2

6

30.8

26.2

Perform a t-test for dependent means to determine if there is a difference between the regular spandex suit and the Fastskin bodysuit in terms of performance.

t = _________________

df = _______________

Critical value of t =_____________ (use alpha = 0.05)

Would you reject the null hypothesis? Yes or No?

Solution

t = _mean difference/(s/vn) =2.3167/(2.9294/sqrt(6)) =_1.937166_______________

df = n-1=6-1=5_______________

Critical value of t =__2.57___________ (use alpha = 0.05)

Would you reject the null hypothesis? Yes or No?

No.