In: Statistics and Probability
Use the given degree of confidence and sample data to construct a confidence interval for the population mean μ. Assume that the population has a normal distribution.
a. A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185
milligrams with s = 17.6 milligrams. Construct a 99% confidence interval for the true mean
cholesterol content of all such eggs.
b. Suppose 60 eggs were tested. How would your calculation be altered? Construct a 99% CI for the mean cholesterol content, leaving all other values unchanged.