Reference no: EM131648340

Question: Medley. In the medley relay event, four swimmers 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 creates 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:

     Swimmer             Mean           SD

1 (backstroke)          50.72          0.24

2 (breadstroke)         55.51          0.22

3 (butterfly)             49.43          0.25

4 (freestyle)             44.91          0.21

a) What are the mean and standard deviation for the relay team'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 championship? Explain.