SOLUTION: We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately σ = 62.4 . We w

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Question 1175528: We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately
σ
=
62.4
. We would like to be 99.5% confident that the esimate is within 2.5 of the true population mean. How large of a sample size is required?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Normal distribution: σ = 62.4
to be 99.5% confident that the estimate is within 2.5 of the true population mean. 
How large of a sample size is required? invNorm(.995) = 2.5758
ME =+z%2Asigma%2Fsqrt%28n%29 0r n = %28z%2Asigma+%2FME%29%5E2
 n = %28%282.5758%2A62.4%29%2F%282.5%29%29%5E2 = 4134 (rounded up to whole number)

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