When making a statistical inference about the mean of a normally distributed population based on a sample drawn from that population, which of the following statements is correct, all else being equal?

With the same sample and other conditions held constant, a higher confidence level requires a wider interval to increase the chance that it captures the population mean. Thus, the 95% confidence interval is wider than the 90% confidence interval, so the statement that the 90% interval is narrower than the 95% interval is correct.

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