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The Speedo LZR Racer Suit is a high-end, body-length swimsuit that was launched on February 13, 2008.

2. The Speedo LZR Racer Suit is a high-end, body-length swimsuit that was launched on February 13, 2008. When 17 world records fell at the December 2008 European Short Course Championships in Croatia, many believed a modification in the rules surrounding swimsuits was necessary. The FINA Congress, the international governing board for swimming, banned the LZR Racer and all other body-length swimsuits from competition, effective January 2010. In a statement to the public, FINA defended its position with the following statement: "FINA wishes to recall the main and core principle that swimming is a sport essentially based on the physical performance of the athlete" (BBC Sport, March 14, 2009).

Luke Johnson, a freelance journalist, wonders if the decision made by FINA has statistical backing. He conducts an experiment with the local university's Division I swim team. He times 10 of the swimmers swimming the 50-meter breaststroke in his/her bathing suit and then retests them while wearing the LZR Racer. The results are saved in "LZR_Racer" of Chapter10.xlsx.

Questions:

In a report, use the sample information to

a.   Determine whether the LZR Racer improves swimmers' times at the 5% significance level. Assume that the time difference is normally distributed.

b.   Comment on whether the data appear to support FINA's decision.

Swimmer Time in Bathing Suit Time in LZR Racer

1 27.64 27.45

2 27.97 28.06

3 29.04 28.84

4 29.85 29.63

5 30.12 30.18

6 32.73 32.71

7 33.32 32.87

8 35.36 35.21

9 37.34 37.11

10 38.08 37.93

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