Independent Samples t-test: Purpose, Hypotheses, and Assumptions

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The hypotheses of a two-tailed independent samples $t$ -test are:

$=$
$\neq$
$\gt$
$\lt$
$\geq$
$\leq$
$=$
$\neq$
$\gt$
$\lt$
$\geq$
$\leq$

The hypotheses of a right-tailed independent samples $t$ -test are:

$=$
$\neq$
$\gt$
$\lt$
$\geq$
$\leq$
$=$
$\neq$
$\gt$
$\lt$
$\geq$
$\leq$

The hypotheses of a left-tailed independent samples $t$ -test are:

$=$
$\neq$
$\gt$
$\lt$
$\geq$
$\leq$
$=$
$\neq$
$\gt$
$\lt$
$\geq$
$\leq$

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