Hypotesis testing

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H0 : μ = μ0
HA : μ = μ0

A null hypothesis H0 for a population mean μ is a statement that designates possible values for the population mean. It is associated with an alternative hypothesis HA, which is the “opposite” of the null hypothesis.

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A two-sided set of hypotheses is
H0 : μ = μ0 versus HA : μ = μ0
for a specified value of μ0,

and a one-sided set of hypotheses is either
H0 : μ ≤ μ0 versus HA : μ>μ 0 (upper tailed)
or
H0 : μ ≥ μ0 versus HA : μ<μ 0 (lower tailed)


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