SOLUTION: A laboratory tested 71 chicken eggs and found that the mean amount of cholesterol was 230 milligrams with σ = 10.4 milligrams. construct a 95% confidence interval for the true

Algebra ->  Probability-and-statistics -> SOLUTION: A laboratory tested 71 chicken eggs and found that the mean amount of cholesterol was 230 milligrams with σ = 10.4 milligrams. construct a 95% confidence interval for the true      Log On


   

Question 597928: A laboratory tested 71 chicken eggs and found that the mean amount of cholesterol was 230 milligrams with σ = 10.4 milligrams. construct a 95% confidence interval for the true mean cholesterol content, u, of all such eggs
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
( xbar - z*sigma/sqrt(n), xbar + z*sigma/sqrt(n) )

( 230 - 1.95996*10.4/sqrt(71), 230 + 1.95996*10.4/sqrt(71) ) ... Note: use a table or a calculator to find the value of z

(227.58091, 232.419086)

So the 95% confidence interval is (227.58091, 232.419086)