Based on a random sample of 100 students at Community College, a 95% confidence interval for μ, the mean age of all students at Community College, is 21.2 years to 26.6 years (21.2 < µ < 26.6). On the basis of this information, decide whether you agree or disagree with the following statement. Explain how you decide.  The 99% confidence interval based on the sample taken above will give a smaller margin of error in the estimate of μ.

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Based on a random sample of 100 students at Community College, a 95% confidence
interval for μ, the mean age of all students at Community College, is 21.2 years to
26.6 years (21.2 < µ < 26.6).
On the basis of this information, decide whether you agree or disagree with the following statement. Explain how you decide. 

The 99% confidence interval based on the sample taken above will give a smaller
margin of error in the estimate of μ.

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