Numerous studies have found that males report higher self-esteem than females, e

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 = .05.

Explanation / Answer

a. Make a point estimate of the population mean difference in self-esteem between male and female adolescents. A point estimate =xbar1-xbar2 =39-35.4 = 3.6

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