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Female undergraduates in randomized groups of 10 took part in a self-esteem study. The study measured...

Female undergraduates in randomized groups of 10 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 10 20.25 3.27 μ1
x2 10 19.41 3.35 μ2
x3 10 17.07 3.74 μ3

(a) Find a 90% confidence interval for μ1 − μ2. (Round your answers to two decimal places.)

lower limit     
upper limit


(b) Find a 90% confidence interval for μ1 − μ3. (Round your answers to two decimal places.)

lower limit    
upper limit


(c) Find a 90% confidence interval for μ2 − μ3. (Round your answers to two decimal places.)

lower limit    
upper limit

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orchestra answered 2 years ago
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