A common guideline in constructing confidence intervals for the mean is to place upper and lower bounds one standard error on either side of the average to obtain an approximate 95% confidence interval.

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The common guideline for constructing a 95% confidence interval for the mean involves placing upper and lower bounds approximately 1.96 standard errors (not one standard error) on either side of the sample mean.

A Common Guideline in Constructing Confidence Intervals for the Mean