Question

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

Answer 1

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}}$$228\text{ - }\frac{37.24}{9.055}<\text{ }\mu\text{ < 228 + }\frac{37.24}{9.055}$$\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}$