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In a Two-Tail Test for the Population Mean, If the Null

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In a two-tail test for the population mean, if the null hypothesis is rejected when the alternative hypothesis is true, a Type I error is committed.


Definitions:

Normally Distributed

Describes a distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Test Statistic

A standardized value derived from sample data during a hypothesis test which is used to determine whether to reject the null hypothesis.

Lower Tailed Test

A statistical test used to determine if a dataset's lower end values significantly differ from the hypothesized value.

Test Statistic

A standardized value calculated from sample data during a hypothesis test that is used to make a decision about the null hypothesis.

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