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Suppose that you want to construct a? 95% confidence interval for estimating a population mean. How does the margin of error with a sample size of 100 compare with the margin of error with a sample size of 900?, if both samples have the same standard? deviation?

A. The margin of error for the second interval will be 3 times larger than the margin of error for the first interval.

B. The margin of error for the first interval will be 3 times larger than the margin of error for the second interval.

C. The margin of error for the first interval will be 9 times larger than the margin of error for the second interval.

D.The margin of error for the second interval will be 9 times larger than the margin of error for the first interval.

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