(a) Test the hypothesis that (mu_{1} eq mu_{2}) at the (alpha=0.1) level of significance for the given...

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(a) Test the hypothesis that \(\mu_{1} eq \mu_{2}\) at the \(\alpha=0.1\) level of significance for the given sample data.

(b) Construct a \(90 \%\) confidence interval for \(\mu_{1}-\mu_{2}\).

(c) Test the hypothesis that \(\sigma_{1} eq \sigma_{2}\) at the \(\alpha=0.05\) level of significance for the given sample data.

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Assume that the populations are normally distributed and that independent sampling occurred.

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