Does the population mean time to complete a triathlon depend on the event? Consider the four triathlon events: Individual Men, Individual Women, Relay Men, and Relay Women. Use the results from the 2009 Individual Sprint and the total team times from the 2013 and 2017 Team Relay as sample data. a) For each of the four events, construct a separate histogram of total times. b) Perform at the 5% significance level the one-way ANOVA test to compare the population mean times for each of the four events. Should we reject or not reject the claim that there is no difference in population means between each event? c) Closely examine the histograms in part a). Consider the requirements for an ANOVA test and determine if the result obtained in part b) is in fact valid. Justify your choice