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You are constructing a 95% confidence interval for the mean of a normal population. If you...

You are constructing a 95% confidence interval for the mean of a normal population. If you increase your sample size from n to 4n, the width of the confidence interval a) becomes two times wider b) becomes two times narrower c) becomes four times narrower d) becomes four time wider e) cannot determine from this information

Can somebody explain please? Will upvote :) Thank you

Math   Statistics-And-Probability   
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Ans : b) becomes two times narrower                                                                                                              

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