SOLUTION: You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately =66.7. You would like to be

Algebra ->  Probability-and-statistics -> SOLUTION: You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately =66.7. You would like to be       Log On


   



Question 1182708: You want to obtain a sample to estimate a population mean.
Based on previous evidence, you believe the population standard deviation is approximately =66.7.
You would like to be 99% confident that your estimate is within 1 of the true population mean.
How large of a sample size is required?
n =

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
error=z(0.995)*66.7/sqrt(n)
1=2.576*66.7/sqrt(n)
square both sides and multiply by n
n=29521.83 or 29582 (if the above value of z is used)
NOTE: if you use unrounded z (at least to five places), the result is 29518