Question

How can I resolve this case study by using R studio from chapter 10 , book business statistics written by Jaggia/Kelly third edition.can you please resolve for me

CASE STUDY 10.2

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. A portion of the results is shown in the accompanying table.

Data for Case Study 10.2 50-Meter Breaststroke Times (in seconds)

Swimmer	Time in Bathing Suit	Time in LZR Racer
1	27.64	27.45
2	27.97	28.06
. . .	. . .	. . .
10	38.08	37.93

In a report, use the sample information to

1. Determine whether the LZR Racer improves swimmers’ times at the 5% significance level. Assume that the time difference is normally distributed.
2. Comment on whether the data appear to support FINA’s decision.

Answer 1