The distribution of total body protein in healthy adult men

The distribution of total body protein in healthy adult men is approximately Normal with standard deviation s = 0.1 kg. A 95% confidence interval for the true mean total body protein of healthy adult men, based on 58 randomly selected adult healthy males, has a margin of error of 0.026 kg.

A 99% confidence interval based on the same study

would have the same margin of error.

would have a larger margin of error.

would have a smaller margin of error.

may have a different margin of error, but that would depend on the actual sample mean.

Solution

would have a larger margin of error.

because larger Confidence level have large critical values, due to smaller alpha values.