A researcher is interested in examining the effects of relaxation techniques on test performance. The researcher randomly selects thirty college students and randomly assigns them into two groups of fifteen each.  One group receives training in several relaxation techniques and the second group receives no training. Each group is given a statistics test.  The average score for the group that received the relaxation training was 75 (s² = 5) and the average for students who did not receive the relaxation training was 50 (s² = 8). (1) State the null and alternative hypotheses for this study (2) What is the dependent and independent variable for this study (3) What test statistic/hypothesis test would you select to determine if the means are significantly difference at the alpha .05 level? (4) What critical value would you use to make your decision to reject or retain the null hypothesis at alpha .05?

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A researcher is interested in examining the effects of relaxation techniques on test performance. The researcher randomly selects thirty college students and randomly assigns them into two groups of fifteen each.  One group receives training in several relaxation techniques and the second group receives no training. Each group is given a statistics test.  The average score for the group that received the relaxation training was 75 (s² = 5) and the average for students who did not receive the relaxation training was 50 (s² = 8). (1) State the null and alternative hypotheses for this study (2) What is the dependent and independent variable for this study (3) What test statistic/hypothesis test would you select to determine if the means are significantly difference at the alpha .05 level? (4) What critical value would you use to make your decision to reject or retain the null hypothesis at alpha .05?

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