Why are larger samples better? Statisticians prefer large samples. Describebriefly the

Chapter 0, Problem 16.34

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Why are larger samples better? Statisticians prefer large samples. Describebriefly the effect of increasing the size of a sample (or the number of subjects in anexperiment) on each of the following:(a) The margin of error of a 95% confidence interval.(b) The P-value of a test, when H0 is false and all facts about the populationremain unchanged as n increases.(c) (Optional) The power of a fixed level test, when , the alternativehypothesis, and all facts about the population remain unchanged.

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