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In estimating a population mean with a confidence interval based on a random sample X1,... ,Xn...

In estimating a population mean with a confidence interval based on a random sample X1,... ,Xn from a Normal distribution with an unknown mean and a known variance, how the length of the confidence interval changes if we decrease the sample size from 9n to n?

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We know that the length of the confidence interval depends on the standard error.

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