SOLUTION: estimate the population mean by taking a sample and constructing a 99% confidence interval. You know the population standard deviation is 10.97. Compute the minimum sample

Question 1155247: estimate the population mean by taking a sample and constructing a 99% confidence interval.
You know the population standard deviation is 10.97.
Compute the minimum sample size needed to ensure that your interval estimate has a margin of error less than or equal to 0.8.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
start with z for 0.995=2.576
z*sigma/sqrt(n)=0.8
2.576*10.97/sqrt(n)=0.8
28.26=0.8* sqrt(n)
square both sides and divide by 0.64, which is 0.8^2.,
n=1247.875 or 1248, rounding upward

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