A two-tailed hypothesis test of the population mean is used when the alternative hypothesis takes the form

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A two-tailed hypothesis test is used when the alternative hypothesis (the hypothesis we want to prove) takes the form that the population mean is not equal to a specific value. This can be expressed as Ha: μ ≠ μ0, where μ is the population mean and μ0 is the null hypothesis value.

A Two-Tailed Hypothesis Test of the Population Mean Is Used