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(d) which interval is larger? why?
the % confidence interval is larger. an interval with a select ▼ range of values
than the % confidence interval will be more likely to contain the true population
mean.
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In statistics, a higher - percentage confidence interval (e.g., 95% vs. 90%) is wider. This is because to be more confident (a higher percentage) that the interval contains the true population mean, we need to include a larger range of values. A 90% confidence interval is narrower as it is less "certain" of capturing the true mean, while the 95% interval, by including more possible values, has a higher chance of containing the true population mean.
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The 95% confidence interval is larger. An interval with a 95% range of values than the 90% confidence interval will be more likely to contain the true population mean.