Question: Numerous studies have found that males report higher self-esteem than females, especially for adolescents (K1ing, 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 \(S S=69.4\) for a sample of \(n=10\) female adolescents.

1. Make a point estimate of the population mean difference in self-esteem between male and female adolescents.
2. Use the data to rake a $95 \%$ confidence interval estimate of the mean difference.
3. Based on the confidence interval from b, do these two samples indicate a significant difference between adolescent males and females? Assume a two-tailed test with \(\alpha=.05\)

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