A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 237 milligrams with s = 14.0 milligrams.Construct a 95% confidence interval for the true mean cholesterol content of all such eggs.

Question

Quizplus · Accepted Answer

The 95% confidence interval is calculated using the formula: mean ± (t* × s/√n), where t* is the t-value for 95% confidence with n-1 degrees of freedom. For 11 degrees of freedom, t* is approximately 2.201. Thus, the interval is 237 ± (2.201 × 14/√12), which results in (228.1, 245.9).

A Laboratory Tested Twelve Chicken Eggs and Found That the Mean