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For a mean computed from a sample, the true mean will be: within plus or minus two standard errors of the mean from the computed
For a mean computed from a sample, the true mean will be: within plus or minus two standard errors of the mean from the computed mean 99% of the time. within plus or minus two standard errors of the mean from the computed mean 95% of the time. within plus or minus one standard deviation from the computed mean 100% of the time. outside one standard error of the mean from the computed mean 68% of the time
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