The value of the test statistic for a two-tail hypothesis test for a population mean is the same as for a one-tail hypothesis test.

Name: The value of the test statistic for a two-tail hypothesis test for a population mean is the same as for a one-tail hypothesis test.
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The value of the test statistic itself does not change between one-tail and two-tail tests; what changes is how the test statistic is evaluated against the critical value(s) to determine significance.

The Value of the Test Statistic for a Two-Tail Hypothesis