Question: An experimental egg farm is raising chickens to produce low cholesterol eggs. A lab tested 16 randomly selected eggs and found that the mean amount of cholesterol was \(\bar{X}=\) 190 mg. The sample standard deviation was found to be s = 18.0 mg on this group. Assume that the population is normally distributed.

a. Find the margin of error for a 95% confidence interval. Round your answer to the nearest tenths (2.5 points)

b. Find a 95% confidence interval for the mean ? cholesterol content for all experimental eggs. Assume that the population is normally distributed. (2.5 points)