Find the confidence interval specified. Assume that the population is normally distributed.
-A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 188 milligrams with s = 12.7 milligrams. Construct a 95% confidence interval for the true mean
Cholesterol content of all such eggs.
A)179.8 to 196.2 milligrams
B)181.4 to 194.6 milligrams
C)179.9 to 196.1 milligrams
D)180.0 to 196.0 milligrams

Question

Find the confidence interval specified. Assume that the population is normally distributed.
-A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 188 milligrams with s = 12.7 milligrams. Construct a 95% confidence interval for the true mean
Cholesterol content of all such eggs. 
A)179.8 to 196.2 milligrams
B)181.4 to 194.6 milligrams
C)179.9 to 196.1 milligrams
D)180.0 to 196.0 milligrams

Quizplus · Accepted Answer

The confidence interval is calculated using the formula: mean ± (t-value * (s/√n)). With n=12, the t-value for 95% confidence is approximately 2.201. The interval is 188 ± (2.201 * (12.7/√12)), which gives 179.9 to 196.1 milligrams.

Find the Confidence Interval Specified