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A laboratory tested 82 chicken eggs and found that the mean amount of cholesterol was 228 milligrams with a = 19.0 milligrams. Construct a 95% confidence intervalfor the true mean cholesterol content, , of all such eggs.O A. 223.89 mg

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SOLUTION:

We are to construct a 95% confidence interval for the true mean cholesterol content u of all eggs.

The value of 95 % confidence interval z score from table is 1.96


228\text{ - }\frac{1.96(19)}{\sqrt[]{82}}\text{ < }\mu\text{ < 228 + }\frac{1.96(19)}{\sqrt[]{82}}
228\text{ - }(37.24)/(9.055)<\text{ }\mu\text{ < 228 + }(37.24)/(9.055)
\begin{gathered} 228-4.1126\text{ < }\mu\text{ < 228 + 4.1126} \\ 223.887\text{ < }\mu\text{ < 232.113} \\ 223.89mg\text{ < }\mu\text{ < 232.11mg} \end{gathered}

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