Question

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 29.1 31.1 28.9 30.4 3 31.4 T 25.3 31.7 34.9 27.7 28.2 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 = 2.996 df = 7 Critical value of t = 2.365 (use alpha = 0.05) Would you reject the null hypothesis? yes

I got the answers above, but I'm not sure if they are correct!

Answer 1

The statistical software output for this problem is:

Paired T hypothesis test: HD - H1-H2 : Mean of the difference between Spandex and Speedo Fastskin Ho: PD = 0 HAD 0 Hypothesis test results: Difference Mean Std. Err. DF T-Stat P-value Spandex - Speedo Fastskin 2.3166667 1.1959422 5 1.9371059 0.1105

Hence,

t = 1.937

df = 5

Critical value of t = 2.571

Would you reject the null hypothesis? No