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Given that the results will be used to inform the design of an important policy, the researchers worry about ending up with confidence intervals that

Given that the results will be used to inform the design of an important policy, the researchers worry about ending up with confidence intervals that do not contain the true parameter for each question (i.e., the value of the average answer to each question for the entire population). If they want their intervals to keep the same width as with their original results, what should they do? Be specific and state why.

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