Independent Complex Samples Z-Test - Comparing Two Means

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Where \bar{x} and \bar{y} are the two means and \sigma_\bar{x} and \sigma_\bar{y} are their standard errors:

z=\frac{\bar{x}-\bar{y}}{\sqrt{\sigma^2_\bar{x} + \sigma^2_\bar{x}}},

where p = 2(1-\Phi(|z|)) .

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