Question: Numerous studies have found that males report higher self-esteem than females, especially for adolescents (Kling, Hyde, Showers, & Buswell, 1999). Typical results show a mean self-esteem score of M = 39.0 with SS = 60.2 for a sample of n = 10 male adolescents and a mean of M = 35.4 with SS = 69.4 for a sample of n = 10 female adolescents.

a. Make a point estimate of the population mean difference in self-esteem between male and female adolescents.

b. Use the data to make a 95% confidence interval estimate of the mean difference.

c. Based on the confidence interval from part b, do these two samples indicate a significant difference in self-esteem between adolescent males and females? Assume a two-tailed test with α = .05.