Chapter 12.3, Problem 12E

a.

To determine

Find the number of degrees of freedom that are associated with the estimator for the common variance ${\sigma }^2$.

b.

To determine

Find the number of degrees of freedom that are associated with the estimator of ${\sigma }_D^2$.

c.

To determine

Find the values of $t_{0.025}$ to construct confidence intervals for the difference in means based on the intendent samples and matched-pairs experiments if $n=5$, $n=10$ and $n=30$.

d.

To determine

Gove the possible disadvantage to implement a matched-pair design experiment rather than independent samples.