One Tailed One-Sample t-Test

A One Tailed One-Sample t-Test is One-Sample t-Test that is an One-Tailed Hypothesis Test.

• Context
  • It can test the following null hypothesis ([math]\displaystyle{ H_0 }[/math]) and alternative hypothesis [math]\displaystyle{ H_A }[/math]:
    • [math]\displaystyle{ H_0 :\; \mu_X\geq \mu_0 \quad \& \quad H_A :\; \mu_X \lt \mu_0 }[/math]
    • [math]\displaystyle{ H_0 :\; \mu_X \leq \mu_0\quad \& \quad H_A :\; \mu_X \gt \mu_0 }[/math]

where [math]\displaystyle{ \mu_X }[/math] is population mean value of random variable [math]\displaystyle{ X }[/math] and [math]\displaystyle{ \mu_0 }[/math] is the hypothesized or theoretical value.

• • …
• Counter-Example(s):
  • Two-Tailed One-Sample t-Test.
• See: One-Sample t-Test Task, Student's t-Test, Parametric Statistical Test, Statistical Hypothesis Testing Task.

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