Margin error of a sample mean is given by

where σ is the standard deviation, is the critical value and n is the sample mean.

So beside the given standard deviation, we're supposed to know the sample size and critical value to answer this question.

where σ is the standard deviation, is the critical value and n is the sample mean.

So beside the given standard deviation, we're supposed to know the sample size and critical value to answer this question.

Step-by-step explanation:

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

z=1.96

standard deviation=5.75

Margin of error= 1.96×5.75=11.27

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