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Confidence interval of the mean difference

The 95% normal approximation confidence interval for the mean difference is readily obtained multiplying the standard error of the mean difference by t:

Algebraically speaking -

95% CI (D)   =   D t sD
Where:
  • D is the mean difference,
  • t is the t-statistic with n-1 degrees of freedom,
  • sD is the standard error of the mean difference which is equal to the standard deviation of the differences divided the square root of the number of observations.