Female undergraduates in randomized groups of 11 took part in a self-esteem study. The study measured an index of self-esteem from the point of view of competence, social acceptance, and physical attractiveness. Let x₁, x₂, and x₃ be random variables representing the measure of self-esteem through x₁ (competence), x₂ (social acceptance), and x₃(attractiveness). Higher index values mean a more positive influence on self-esteem.

Variable	Sample Size	Mean x	Standard Deviation s	Population Mean
x1	11	20.39	3.27	1
x2	11	20.04	3.77	2
x3	11	17.91	4.09	3

(a) Find a 95% confidence interval for _{1 2}. (Round your answers to two decimal places.)

Upper Limit=

Lower Limit=

(b) Find a 95% confidence interval for _{1 3}. (Round your answers to two decimal places.)

Lower Limit=

Upper Limit=

(c) Find a 95% confidence interval for _{2 3}. (Round your answers to two decimal places.)

Lower Limit=

Upper Limit=