27. A recent study compared personality characteristics between 49 adult children of alco- holics and a control group matched on age and gender (D. Baker and L. Stephenson. Jour nal of Clinical Psychology, Vol 51. 1995. p. 694). On a measure of well-being, the 49 children of alcoholics had a mean of 26.1 (s=7.2) and the 49 subjects in the control group had a mean of 28.8 (6.4) The difference scores between the matched subjects from the two groups had a mean of 2.7 (s = 9.7).

a) Construct a 95% confidence interval for the difference between means (i) teating the samples as independent, (ii) treating the samples as dependent. Inici pret.

b) Conduct a test of equality of the two means (i) treating the samples as independent, (i) treating the samples as dependent. Report the P-values and interpret.

c) Compare results of the independent-samples and dependent-samples analyses. (Note. Matching on age and gender does not normally result in a "correlation" between responses in the two samples, so the results are similar.)