Solution: The quantities x#772;, S, and S^-1 are given in Example 5.3 for the transformed microwave radiation data. Conduct a test of the null hypothesis


Question: The quantities \(\overline{\mathbf{x}}, \mathbf{S}\), and \(\mathbf{S}^{-1}\) are given in Example 5.3 for the transformed microwave radiation data. Conduct a test of the null hypothesis \(H_{0}: \boldsymbol{\mu}^{\prime}=[.55, .60]\) at the \(\alpha=.05\) level of significance. Is your result consistent with the \(95 \%\) confidence ellipse for \(\mu\) pictured in Figure 5.1? Explain.

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