Given that there is a sample statistic for a population. Population std deviation sigma is given as 5.75.
Margin of error = z critical value * std error
For standard error we must know the sample size n.
Std error =
Margin of error = Z critical * std error = for 95%
= for 99%
Z critical = 1.96 for 95% and 2.58 for 99%
Hence margin of error =
Margin of error =z-score value for chosen confidence level×population standard deviation
Assuming a 95% confidence level , then
Margin of error= 1.96×5.75=11.27