Using samples of sizes to and 5 with variances s/ = 50 and Sy 2 = 20 and assuming

Chapter 25, Problem 25.1.187

(choose chapter or problem)

Using samples of sizes 10 and 5 with variances \(s_{x}^{2}=50\) and \(s_{y}{ }^{2}=20\) and assuming normality of the corresponding populations, test the hypothesis \(H_{0}: \sigma_{x}{ }^{2}=\sigma_{y}{ }^{2}\) against the alternative \(\sigma_{x}^{2}>\sigma_{y}^{2}\). Choose \(\alpha=5 \%\).

Text Transcription:

s_{x}^{2} = 50

s_{y}^{2} = 20

H_{0}: sigma_{x}^{2} = sigma_{y}^{2}

sigma_{x}^{2} > sigma_{y}^{2}

alpha = 5%