-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 laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 227 milligrams with s = 18.4 milligrams. Construct a 95% confidence interval for the true mean cholesterol content of all such eggs.
Group of answer choices




215.4 mg < μ < 238.6 mg


215.3 mg < μ < 238.7 mg


217.5 mg < μ < 236.5 mg


215.2 mg < μ < 238.8 mg


2.Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.


When 307 college students are randomly selected and surveyed, it is found that 128 own a car. Find a 99% confidence interval for the true proportion of all college students who own a car.
Group of answer choices




0.351 < p < 0.483


0.371 < p < 0.463


0.344 < p < 0.489


0.362 < p < 0.472


3.Use the confidence level and sample data to find a confidence interval for estimating the population μ. Round your answer to the same number of decimal places as the sample mean.


Test scores: n = 99, x? = 77.0, σ = 7.5; 99% confidence
Group of answer choices




75.8 < μ < 78.2


75.1 < μ < 78.9


75.5 < μ < 78.5


75.2 < μ < 78.8