SOLUTION: A sample of 81 observations is taken from a normal population with a standard deviation of 5.the sample mean is 40.determine the 95%condiedence interval for the population mean.

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Question 1196486: A sample of 81 observations is taken from a normal population with a standard deviation of 5.the sample mean is 40.determine the 95%condiedence interval for the population mean.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi

***Need to Know
ME =+z%2Asigma%2Fsqrt%28n%29
µ - ME < µ < µ + ME
& 
Round the confidence interval limits to the same number of decimal places 
as the sample standard deviation
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determine the 95% coniidence interval for the population mean.	
n = 81 
mu = 40
sigma =5
z (95% confidence interval, df = 80) is 1.96

ME =+z%2Asigma%2Fsqrt%28n%29+=+1.96%2A5%2Fsqrt%2881%29 = 1 (rounded to nearest whole number)
40 - 1 < mu < 40 + 1
CI: ( 39, 41)

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