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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A: Givensample size(n)=100p^=0.9α=1-0.95=0.05α2=0.025zc=zα2=z0.025=1.96   (from z table)

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A: https://drive.google.com/file/d/1gHrhTXc4FO41cCl2zvcXX4g7VvIUye8u/view?usp=sharing