How do I solve this?
14. In 1995 Robin Ogle and her colleagues published a paper in which they argued that some women experience great stress (for instance, in physically abusive relationships), and that if this stress is not released in some healthy fashion, they are likely to strike out in violent (possibly even homicidal) ways. The targets of this aggression, the researchers argue, are likely to be those in close proximity to them-for example, partners and children. You want to test this hypothesis. You have two independent random samples of 8 women with small children living at home with them; one group reporting "High Stress" and the other group reporting "Low Stress". You ask each woman how many times they have physically punished their children in the past month. The data from your samples is found in the table below. Test the null hypothesis that the two population means are equal against the directional (one-tailed) alternative hypothesis that the "High Stress" group has a higher mean number of physical punishments. Assume that the unknown population standard deviations are unequal ( 1 2). The degrees of freedom (d.f.) for this exercise is 10. High Stress Group Low Stress Group X High Stress = 8.13 X Low Stress = 1.88 $2 High Stress = 8.41 $2 Low Stress= 1.55 n High Stress = 8 I Low Stress = 8 Step 1) Null Hypothesis-- ---Ho: Alternative Hypothesis--------H1: Step 2) State the test statistic you will use for this hypothesis test. Step 3) Your level of significance (alpha) is .05. Determine the critical value and rejection region of the test statistic based on the directionality information, the alpha level, and degrees of freedom given above. Make sure to draw and label these values on a bell shaped curve in the space provided below: Step 4) Calculate the obtained value of the test statistic. Write the values of the statistics you will use in your calculations in the spaces provided. X High Stress Group X Low Stress Group $2 High Stress Group $2 Low Stress Group = n High Stress Group n Low Stress Group Step 5) Make a decision about your null hypothesis and interpret this decision in a meaningful way