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Using Confidence Intervals to Test Hypotheses

Summary: When separate 100(1-alpha) percent confidence intervals on two population means overlap, the means may or may not be significantly different at the 100-alpha percent level. This phenomenon is explored analytically and numerical examples are given.

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  • Topics:
  • Keywords: Confidence intervals,Hypothesis testing,Mean,Normal distribution
  • Author: Barr, Donald R.
  • Journal: Journal of Quality Technology