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QUESTION

An NCAA official claims that the average 5K times for students trying out for college cross country teams is 17 minutes.

An NCAA official claims that the average 5K times for students trying out for college cross country teams is 17 minutes. A Big East coach believes that the true figure is lower among Big East universities. He picks an SRS of 30 recruits and calculates their mean 5K time is 16 minutes 52 seconds, with a standard deviation of 25 seconds. What is the P-value for the appropriate test?

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