QuestionPart 4 of 8 HW Score:
Assume that the differences for the given data are normally distributed. Complete parts (a) through (d). Click here to view the sample data. Click here to view the table of critical t-values. Points: (a) Determine $d_{i}=X_{i}-Y_{i}$ for each pair of data. \begin{tabular}{|l|c|c|c|c|c|c|c|} \hline Observation & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\ \hline $\mathbf{d}_{\mathbf{i}}$ & -0.5 & 1.1 & -3.3 & -3.8 & 0.5 & -2.3 & -2.9 \\ \hline \end{tabular} (b) Compute $\overline{\mathrm{d}}$ and $\mathrm{s}_{\mathrm{d}}$. $\overline{\mathrm{d}}=-1.600$ (Round to three decimal places as needed.) $s_{d}=1.950$ (Round to three decimal places as needed.) (c) Test if $\mu_{\mathrm{d}}<0$ at the $\alpha=0.05$ level of significance.
Determine the null and alternative hypotheses. Choose the correct answer. A. $H_{0}: \mu_{d}=0$ $\mathrm{H}_{1}: \mu_{\mathrm{d}}<0$ B. $H_{0}: \mu_{d}<0$ C. $H_{0}: \mu_{d}>0$ $\mathrm{H}_{1}: \mu_{\mathrm{d}}=0$ $H_{1}: \mu_{d}<0$ D. $H_{0}: \mu_{d}<0$ $\mathrm{H}_{1}: \mu_{\mathrm{d}}>0$