Use the given degree of confidence and sample data to construct a confidence interval for the population mean $\mu .$ Assume that the population has a normal distribution.
A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185 milligrams with s=17.6 milligrams. A confidence interval of $173.8 \mathrm { mg }

Question

Use the given degree of confidence and sample data to construct a confidence interval for the population mean $\mu .$ Assume that the population has a normal distribution.
A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185 milligrams with  s=17.6  milligrams. A confidence interval of $173.8 \mathrm { mg } < \mu < 196.2$ mg is constructed for the true mean cholesterol content of all such eggs. It was assumed that the population has a normal distribution. What confidence level does this interval represent? 
A)  99% 
B)  95% 
C)  98% 
D)  80%

Quizplus · Accepted Answer

The confidence interval given is relatively narrow, which typically corresponds to a 95% confidence level, a common choice for many statistical analyses.

Use the Given Degree of Confidence and Sample Data to Construct