High School

Suppose the time to complete a 200-meter backstroke swim for female competitive swimmers is normally distributed with a mean [tex]\mu = 141[/tex] seconds and a standard deviation [tex]\sigma = 7[/tex] seconds. What is the completion time for the 200-meter backstroke for a female with a z-score of [tex]-1.64[/tex]? (Round your answer to one decimal place.)

A. 129.5
B. 152.5
C. 130.8
D. 141.0

Answer :

Final answer:

The completion time for a female with a z-score of -1.64 is approximately A. 129.5 seconds.

Explanation:

To find the completion time for the 200-meter backstroke for a female with a z-score of -1.64, we can use the formula:

X = μ + (z * σ)

Plugging in the given values, we have: X = 141 + (-1.64 * 7) = 141 - 11.48 = 129.52

Therefore, the completion time for a female with a z-score of -1.64 is approximately 129.5 seconds (rounded to 1 decimal place).

Learn more about z-scores here:

https://brainly.com/question/15016913

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