Question 1156815: Use the confidence level and sample data to find a confidence interval for estimating the population μ. Round your answer to the same number of decimal places as the sample mean. (Sigma known)
a) A laboratory tested 82 chicken eggs and found that the mean amount of cholesterol was 228 milligrams with σ = 19.0 milligrams. Construct a 95% confidence interval for the true mean cholesterol content, μ, of all such eggs.
b) Write an interpretation. (Write answer on paper)
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! sigma known so use 1.96 for z
half-interval is1.99*19/sqrt(82)=4.11
the 95% CI is (224 mg, 232 mg)
The true value of the mean is unknown and unknowable, but we are 95% confident that it lies in the interval.
If we were to construct 100 such intervals like this one, the true mean would lie in 95 of them. We would not know which 95.
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