(Solved): Assurne that the dflerences are nomaly distnbuted. Complate parts (a) through (d) below. (a) Determ ...

Assurne that the dflerences are nomaly distnbuted. Complate parts (a) through (d) below. (a) Determine $d_1=X_{?}?Y$, for each pair of data. (b) Compule d and $5_d$ $\mathrm{d}=$ (Round 10 titee decmai places as needed) *at = (Round to three decimal places as needed.) (c) Test if ${?}_j<0$ at the $?=005$ level of nignifleance. What are the correct null and altemative hypotheses? A. $H_0={?}_0<0$ c. ${\mathrm{H}}_0:{?}_{\mathrm{d}}=0$ D. $H_0:{?}_d<0$ ${\mathrm{H}}_1:{?}_d<0$ ${\mathrm{H}}_1:{?}_d=0$ P-value $=$ (Round to three decimal places as needed.) Choose the correct conclusion below. A. Do not reject the null mypothesis. There is insulfclent evidence that ${?}_{\mathrm{d}}<0$ at the $?=0.05$ level of significance B. Do not reject the null hypothesis. There is sutficient evidence that ${?}_0<0$ at the $a=0.05$ level of aggnificance. C. Reject the null fiypothesis. There is insufficient evidence that ${?}_{\mathrm{d}}<0$ at the $?=0.05$ level of significance. D. Reject the nuil hypothesis. There is sufficient evidence that ${?}_d<0$ at the $?=0.05$ lover of significance. (d) Compute a $95\%$ contidence interval about the population mean ditference ${?}_d$. (d) Compute a $95\%$ confidence interval about the population mean difference ${?}_d$. The lower bound is The upper bound is (Round to two decimal places as needed.)