Answer:
The standard error is 0.0456 for the mean finish time of 30 randomly selected participants.
Step-by-step explanation:
We are given the following in the question:
Population mean, [tex]\mu[/tex] = 1.67 hours
Population standard deviation, [tex]\sigma[/tex] = 0.25 hours
Sample mean, [tex]\bar{x}[/tex] = 1.59 hours
Sample standard deviation, s = 0.30 hours
Sample size, n = 30
We have to find the standard error for the mean finish time of 30 randomly selected participants.
Formula:
[tex]\text{Standard error} = \dfrac{\sigma}{\sqrt{n}} = \dfrac{0.25}{\swqrt{30}} = 0.0456[/tex]
Thus, the standard error is 0.0456 for the mean finish time of 30 randomly selected participants.