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  • https://biz.libretexts.org/Courses/Gettysburg_College/MGT_235%3A_Introductory_Business_Statistics_(2nd_edition)/06%3A_Confidence_Intervals/6.01%3A_Introduction
    The empirical rule, which applies to the normal distribution, says that in approximately 95% of the samples, the sample mean, ¯x, will be within two standard deviations of the population ...The empirical rule, which applies to the normal distribution, says that in approximately 95% of the samples, the sample mean, ¯x, will be within two standard deviations of the population mean μ. Where ¯x is the sample mean. zα2 is determined by the level of confidence (1-α) desired by the analyst, and s/n is the standard deviation of the sampling distribution for means given to us by the Central Limit Theorem.

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