Refer to the statistical model for the one-way layout.a
Chapter 13, Problem 19E(choose chapter or problem)
Refer to the statistical model for the one-way layout.
a Show that \(H_{0}: \tau_{1}=\tau_{2}=\ldots=\tau_{k}=0\) is equivalent to \(H_{0}: \mu_{1}=\mu_{2}=\ldots=\mu_{k}\).
b Show that \(H_{a}: \tau_{1} \neq 0\) for at least one is equivalent to \(H_{a}: \mu_{i} \neq \mu_{i}\) for some \(i \neq i^{\prime}\).
Equation transcription:
Text transcription:
H_{0}: tau{1}=\tau{2}=ldots=tau{k}=0
H_{0}: mu{1}=\mu{2}=ldots=mu{k}
H_{a}: tau{1} \neq 0
H_{0}: mu{i} neq mu{i}{ }^{\prime}
H_{a}: mu{i} neq mu{i}
i neq i^{\prime}
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