Ironman virtual club. IRONMAN VC is a platform that provides athletes with a connected experience to train, compete, earn, and celebrate their achievements with a global community of fellow athletes from anywhere around the world. Each year, athletes generate points based on their performance at each race that they have completed. At the end of the year, IRONMAN identifies the athletes who have finished in the top 10 percent of their age group. The following are the overall completion time for 30 randomly selected male and female athletes from the IRONMAN VC 2019 list (https://www.ironman

.com/all-world-athlete-agr).

Male Athlete Overall (Hour)
Female Athlete Overall (Hour)
Roberto Azevedo 56.77 Shirley-Jean Rolston 78.77 Gennaro Magliulo 47.27 Gill Fullen 44.62 Hermann Hefti 37.50 Audrey Mahen 59.62 Kevin Fergusson 38.55 Sarah Pearce-Gieck 35.78 Steven Pulver 43.03 Katrine Brock 29.93 Eric Johnson 47.00 Helen Morgan 30.25 Levi Hauwert 35.55 Trude Stormo 51.80 Ole Loumann 43.78 Amy Hite 59.73 Juan Valencia 36.30 Rahel Bellinga 34.28 Brian William Fogarty 27.97 Margit Messinger-Walek 48.35 Mike Schifferle 27.37 Melissa Hickey 50.25 Benoit Marcolini 31.63 Johanna Hudson 49.20 Mark Pellew 31.03 Gail Norman 32.83 Lucas Antonetti 36.50 Marla Zucht 32.83 Bryan Van Meveren 48.12 Edina Jung 38.67

a) Create an appropriate display of these data. What do you see?

b) With a 95% confidence interval, estimate the mean overall time used by male athletes.

c) With a 95% confidence interval, estimate the mean overall time used by female athletes.

d) Explain why you should not use two separate confidence intervals to decide whether the two genders differ in average overall time used.