Hypothesis testing

• How to Test the Mean of an Exponential Distribution
  Test an exponential population mean with an exact chi-square statistic, and use the same pivot to construct a confidence interval for the mean.
• How to Derive the Power of the Wald Test
  The Wald test has asymptotic power given by a noncentral chi-square distribution under local alternatives.
• How Do Confidence Bounds Relate to a One-Tailed Test?
  For a one-tailed test at significance level alpha, use a 1−alpha one-sided confidence bound: lower for a right-tail test and upper for a left-tail test.