SOLUTION: You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ= 33.8 You would like to

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Question 1197460: You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately
σ= 33.8 You would like to be 98% confident that your estimate is within 10 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  
 98% confident ⇒  z = 2.326
σ = 33.8,   ME = 10
How large of a sample size is required?
ME+=+z%2Asigma%2Fsqrt%28n%29
0r
n = %28+z%2Asigma%2FME%29%5E2
n = %28%282.326%2A33.8%29%2F10%29%5E2+%29%29 = 61.8  0r sample Size = 62 (always round Up)

 = CI	z = value
90%	z =1.645
92%	z = 1.751
95%	z = 1.96
98%	z = 2.326  Invnorm(.99)  2-sided (.98 + .02/2 = .99 )
99%	z = 2.576
Wish You the Best in your Studies.