[See] The significance level α test of \mathrmH_0: μ=μ_0 \text against \mathrmH_1: μ>μ_0 is the same as the one for testing \mathrmH_0:


Question: The significance level \(\alpha\) test of

\[\mathrm{H}_{0}: \mu=\mu_{0} \quad \text { against } \quad \mathrm{H}_{1}: \mu>\mu_{0}\]

is the same as the one for testing

\[\mathrm{H}_{0}: \mu \leq \mu_{0} \quad \text { against } \quad \mathrm{H}_{1}: \mu>\mu_{0}\]

Does this seem reasonable to you? Explain!

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