Comparing Gender Differences in Aggression Using a t-Test for Independent Samples
A study using t-tests for independent samples to compare gender differences in aggression levels.
Eli Simmons
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Comparing Gender Differences in Aggression Using a t-Test forIndependent SamplesExercise 9: t-test for two independent samplesAs preparation for this exercise, you are strongly advised do the Time to Practice exercise 1, 2, and 8 inchapter 11, andcheck your work against the correct answers in the text.Test the hypothesis that the men are more aggressive than the women in the data set. Use the pretestaggression measures.1.State the null and research hypotheses:Null hypothesis H0: The men are not more aggressive than the women in the data set.Alternative hypothesis Ha: The men are more aggressive than the women in the data set.2.Set the level of significance, or Type 1 error, and explain what it means.Take thelevel of significanceto be 0.05. It is the maximum type I error we could make.3.Select the appropriate test statistic, and explain why it is appropriate. Describe the formula (11.1)for the statistic and what it means.Since we compare with two population means and thepopulation standard deviations areunknown, and sample sizes are small, we use t-test statistic.When H0 is true, the test statisticgiven in the following follows a t-distribution with degree of freedom df=n1+n2-2.)(2*12122122)12(21)11(21nnnnnnSnSnXXt+−+−+−−=4.Compute the test statistic to get the ‘obtained value’. Plug the appropriate values into the formulafor the statistic, as on page 194. (note: you can just use SPPS to compute the means andstandard deviations).ReportAGGpreSexMeanNStd. Deviation16.4372.57324.8052.588Total5.75122.598