Question: (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)

(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 \(\mu_{d}\).

Assume that the differences are normally} distributed.

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