Suppose that five normal populations with common variance

Chapter 13, Problem 33E

(choose chapter or problem)

Suppose that five normal populations with common variance \(\sigma^{2}\) are to be compared with a sample size of seven observations from each. Suppose that \(\tau_{1}=\cdots=\tau_{4}=0\). What is the smallest value for \(\tau_{5}^{2} / \sigma^{2}\) that can be detected with power \(90 \%\)  and \(\alpha=0.01\)?

Equation Transcription:

Text Transcription:

\sigma^2

\tau_{1}=\cdots=\tau_4=0

\tau_5^2 \sigma^2

90%

\alpha=0.01

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