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16 February, 06:23

A sprint duathlon consists of a 5 km run, a 20 km bike ride, followed by another 5 km run. The mean finish time of all participants in a recent large duathlon was 1.67 hours with a standard deviation of 0.25 hours. Suppose a random sample of 30 participants was taken and the mean finishing time was found to be 1.59 hours with a standard deviation of 0.30 hours. What is the standard error for the mean finish time of 30 randomly selected participants

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  1. 16 February, 07:27
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    The standard error for the mean finish time of 30 randomly selected participants is 0.055 hours

    Step-by-step explanation:

    Standard error = sample standard deviation : sqrt (sample size)

    sample standard deviation = 0.30 hours

    sample size = 30

    standard error = 0.30 : sqrt (30) = 0.30 : 5.477 = 0.055 hours
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