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 = 50.2 . You would l

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 σ = 50.2 . You would l      Log On


   



Question 1197539: You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately
σ
=
50.2
. You would like to be 90% confident that your estimate is within 1.5 of the true population mean. How large of a sample size is required?
n =

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

Hi  
 90% confident  ⇒  z = 1.645 (See below)
σ = 50.2,   ME = 1.5
How large of a sample size is required? 
ME+=+z%2Asigma%2Fsqrt%28n%29
0r
n = %28+z%2Asigma%2FME%29%5E2
n = %28%281.64%2A50.2%29%2F%281.5%29%5E2+%29%29 = 36.7  0r sample Size = 37 (always round Up)

 = CI	z = value
90%	z =1.645   Invnorm(.95)  2-sided (.90 + .10/2 = .95 ) 
92%	z = 1.751
95%	z = 1.96   
98%	z = 2.326  
99%	z = 2.576
Wish You the Best in your Studies.