A test for the population mean $\mu$ produces a test-statistic z = -0.75. The p-value associated with the test is 0.2266 if the test is a left-tail test, it is 0.7734 if the test is a right-tail test, and it is 0.4533 if the test is a two-tail test.

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This is because the p-value for a left-tail test is smaller than the p-value for a two-tail test, which in turn is smaller than the p-value for a right-tail test. This is because the rejection region for a left-tail test is smaller than the rejection region for a two-tail test, which is smaller than the rejection region for a right-tail test. Therefore, the p-value for a left-tail test is more extreme than the p-value for a two-tail test, which is more extreme than the p-value for a right-tail test.

A Test for the Population Mean μ\muμ Produces a Test-Statistic Z = -0

A Test for the Population Mean $\mu$ Produces a Test-Statistic Z = -0