SOLUTION: Assume that a sample is used to estimate a population mean μ μ . Find the 90% confidence interval for a sample of size 969 with a mean of 83.5 and a standard deviation of 1

Algebra ->  Probability-and-statistics -> SOLUTION: Assume that a sample is used to estimate a population mean μ μ . Find the 90% confidence interval for a sample of size 969 with a mean of 83.5 and a standard deviation of 1      Log On


   

Question 1198504: Assume that a sample is used to estimate a population mean
μ
μ
. Find the 90% confidence interval for a sample of size 969 with a mean of 83.5 and a standard deviation of 19.9. Enter your answer as a tri-linear inequality accurate to 3 decimal places.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

ME+=+z%2Asigma%2Fsqrt%28n%29  , ME+=+1.645%2A19.9%2Fsqrt%28969%29 = .840
83.5- .840 < mu < 83.4 + .840
82.66 < mu < 84.34

 = CI	z = value
90%	z =1.645
92%	z = 1.751
95%	z = 1.96
98%	z = 2.326
99%	z = 2.576