The time it takes runners to complete a certain marathon are normally distributed with a mean of 4.6 hours and a standard deviation of 1.1 hours what is the time for a runner with a score of -1.2? Round to the nearest hundredth
Question
Answer:
The equation for the z-score is
z-Score = (Time - Mean) / Standard Deviation
Given:
mean = 4.6 hours
standard deviation = 1.1 hours
z-Score = -1.2
∴ -1.2 = (x - 4.6) / 1.1
x - 4.6 = -1.32
x = 3.28 hours
The time would be 3.28 hours for a z-score of -1.2.
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