SOLUTION: A trainer wants to estimate the population mean training time for female runners within 2 minutes. Determine the minimum sample size required to construct a 99% confidence interval

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Question 1131643: A trainer wants to estimate the population mean training time for female runners within 2 minutes. Determine the minimum sample size required to construct a 99% confidence interval for the population mean training time of female runners. Assume the population standard deviation is 8.4 minutes.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
this is a z-test since sd known
99% CI z for two sided is 2.576
half-interval is z*sigma/sqrt(n)=2
square both sides
z^2*sigma^2/n=4
n=z^2*sigma^2/4=117.05 or 118 ANSWER