3. Observation 1 2 3 4 5 6 7 Xi 7.6 7.6 7.4 5.7 8.3 6.6 5.6 Yi 8.1 6.6 10.7 9.4 7.8 9.0 8.5 (a) Determine di = Xi – Yi for each pair of data. (b) Compute d? and sd. (c) Test if ?d < 0 at the ? = 0.05 level of significance. (d) Compute a 95% confidence interval about the population mean difference ?d.
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7 = 21.4 \\ 3 * 5.6 = 16.8 \\ 4 * 9.4 = 37.6 \\ 5 * 7.8 = 39.0 \\ 9 * 9.0 = 81.0 \\ 7.6 * 8.5 = 64.6 \\ 7.4 * 6.6 = 48.84 \\ 5.7 * 6.6 = 37.62 \\ Show more…
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$ \begin{array}{cccccccc} \text { Observation } & \mathbf{1} & \mathbf{2} & \mathbf{3} & \mathbf{4} & \mathbf{5} & \mathbf{6} & \mathbf{7} \\ \hline X_{i} & 7.6 & 7.6 & 7.4 & 5.7 & 8.3 & 6.6 & 5.6 \\ \hline Y_{i} & 8.1 & 6.6 & 10.7 & 9.4 & 7.8 & 9.0 & 8.5 \end{array} $ (a) Determine $d_{i}=X_{i}-Y_{i}$ for each pair of data. (b) Compute $\bar{d}$ and $s_{d}$ (c) Test if $\mu_{d}<0$ at the $\alpha=0.05$ level of significance. (d) Compute a $95 \%$ confidence interval about the population mean difference $\mu_{d}$
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