10.98 Effect of alcoholic parents A study14 compared personality characteristics between 49 children of alcoholics and a control group of 49 children of nonalcoholics who were matched on age and gender. On a measure of well-being, the 49 children of alcoholics had a mean of 26.1 1s = 7.22 and the 49 subjects in the control group had a mean of 28.8 1s = 6.42. The difference scores between the matched subjects from the two groups had a mean of 2.7 1s = 9.72.

a. Are the groups to be compared independent samples or dependent samples? Why?

b. Show all steps of a test of equality of the two population means for a two-sided alternative hypothesis.

Report the P-value and interpret.

c. What assumptions must you make for the inference in part b to be valid?