Use the confidence level and sample data to find a confidence interval for estimating the population . Round your answer to the same number of decimal places as the sample mean. 1. Test scores: n = 104, x = 95.3, = 6.5; 99% confidence 2. A random sample of 104 light bulbs had a mean life of x = 543 hours with a standard deviation of = 26 hours. Construct a 90% confidence interval for the mean life, , of all light bulbs of this type. 3. A laboratory tested 82 chicken eggs and found that the mean amount of cholesterol was 228 milligrams with = 19.0 milligrams. Construct a 95% confidence interval for the true mean cholesterol content, , of all such eggs