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. Do the results indicate that self-esteem is significantly higher for males? Use a one tailed lest with = 01
b. Use the data to make a 95% confidence interval estimate of the mean difference in self-esteem between male and female adolescents.
c. Write a sentence demonstrating how the results from the hypothesis test and the confidence interval would appear in a research report.
To check: Whether the self-esteem is significantly higher for males using one-tailed test with
Two sample each with size 10 has means 39 and 35.4 respectively. The sum of squared difference (SS) for two samples is 60.2 and 69.4 respectively.
Step 1: Null hypothesis is alternate hypothesis is
Step 2: For the given sample, degrees of freedom is
For on tailed test with and the critical value (CV) is obtained from t-table as
Step 3: t-statistics is calculated using formula
Pooled variance, :
To compute: The 95% confidence interval for the given question.
To writhe: The outcome of study as it appears in the final report.
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