SOLUTION: Assume that a sample is used to estimate a population mean μ Find the 99.5% confidence interval for a sample of size 331 with a mean of 65.6 and a standard deviation of 15.4. E

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Question 1197533: Assume that a sample is used to estimate a population mean
μ Find the 99.5% confidence interval for a sample of size 331 with a mean of 65.6 and a standard deviation of 15.4. 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!

Hi  

'Standard Distribution': µ = 65.5 and σ = 15.4
n = 331
 ME+=+z%2Asigma%2Fsqrt%28n%29
 99.5% confidence interval:  z = 2.807  |  Invnorm(.995 + .005/2) = Invnorm(.9975) 
  ME+=2.807%2A15.4%2Fsqrt%28331%29 = 2.376
65.5 - 2.376 mu < 65.5 + 2.376
63.124 < mu < 67.876

99.5% confident,  interval will contain true population mean

Wish You the Best in your Studies.