?Degrees of Freedom For Example 1 on page 431, we used df = smaller of \(n_{1}-1\)

Chapter 9, Problem 4

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Degrees of Freedom For Example 1 on page 431, we used df = smaller of \(n_{1}-1\) and\(n_{2}-1\), we got df = 11, and the corresponding critical values are \(t=\pm 2.201\). If we calculate df using Formula 9-1, we get df = 19.063, and the corresponding critical values are \(\pm 2.093\). How is using the critical values of \(t=\pm 2.201\) more “conservative” than using the critical values of \(\pm 2.093\)?

Text Transcription:

n_1-1

n_2-1

t=\pm 2.201

\pm 2.093

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