Confidence intervals provide a useful way to convey the uncertainty and reliability of an estimate, allowing researchers to make more informed conclusions about the population parameter.
When constructing a confidence interval for a sample mean, the critical value (t) for a given confidence level and number of degrees of freedom is multiplied by the standard error of the mean; this gives us the margin of error, which can then be added to and subtracted from the sample mean to establish the upper and lower bounds of our confidence interval.
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