Medley In the 4 * 100 medley relay event, four swim-mers swim 100 yards, each using a different stroke. A college team preparing for the conference championship looks at the times their swimmers have posted and cre-ates a model based on the following assumptions: ● The swimmers’ performances are independent.● Each swimmer’s times follow a Normal model.● The means and standard deviations of the times(in seconds) are as shown: a) What are the mean and standard deviation for the relayteam’s total time in this event?b) The team’s best time so far this season was 3:19.48.(That’s 199.48 seconds.) Do you think the team is likely to swim faster than this at the conference cham-pionship? Explain. Swimmer Mean SD1 (backstroke) 50.72 0.242 (breaststroke) 55.51 0.223 (butterfly) 49.43 0.254 (freestyle) 44.91 0.21

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.