The Distribution of Total Body Protein in Adult Men with Liver

Multiple Choice

The distribution of total body protein in adult men with liver cirrhosis is approximately Normal, with standard deviation σ= 0.1 kg. A 95% confidence interval for the true mean total body protein of adult men with liver cirrhosis, based on 67 randomly selected adult males with liver cirrhosis, has a margin of error of 0.024 kg. How would a 99% confidence interval based on the same study compare to the 95% confidence interval?

A) A 99% confidence interval would have the same margin of error.
B) A 99% confidence interval would have a larger margin of error.
C) A 99% confidence interval would have a smaller margin of error.
D) A 99% confidence interval may have a different margin of error, but that would depend on the actual sample mean.