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Phillip swims a 200 meter backstroke in 2:12.43. He can swim a 50 meter free in...

Phillip swims a 200 meter backstroke in 2:12.43. He can swim a 50 meter free in 25.23. Keep in mind that the Olympic team qualifying time in a 200 meter backstroke is 2:02.99 with a standard deviation of 10.39, and the 50 meter free is 23.19 with a standard deviation of 1.19. If Phillip wants to make the team qualifying time and he is allowed to swim only one more event, which one should he enter if he hopes to qualify?

Math   Statistics-And-Probability   
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Answer #1

We know a low Z score indicates more consistent result.

The z score for backstorke is less than z score of free here.

So he should enter in Backstroke.

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